3. Which layer of the skin contains hair follicles?

Answers

Answer 1

Answer:

The second layer of skin is the dermis, located under the epidermis. It contains connective tissue, nerve endings, and hair follicles.

Answer 2
Final answer:

The dermis layer of the skin contains hair follicles.

Explanation:

The layer of the skin that contains hair follicles is the dermis.

The dermis is the layer of skin directly under the epidermis, and it is made of tough connective tissue. It contains hair follicles, sweat glands, oil glands, and blood vessels.

For example, when you pluck a hair from your skin, you are pulling it out from the dermis.


Related Questions


[tex]3.8 - 1.4x \geqslant 5.6 - 5x[/tex]

Answers

Answer:

[tex]x \geq 0.5[/tex]

Step-by-step explanation:

Im assuming you want to know the value of x.

Let's use algebraic rules and solve for the intervals (values) of x. Shown below:

[tex]3.8-1.4x \geq 5.6-5x\\-1.4x+5x \geq 5.6 - 3.8\\3.6x \geq 1.8\\x \geq \frac{1.8}{3.6}\\x \geq 0.5[/tex]

Hence, x is greater than or equal to 0.5



You are balancing the checking account for your new lawn-care business. Based on the check register below, how much money is in the account?

Answers

Correct. We need a balance in order to answer the question.

Answer:

the rest of the question but the answer is $555.37

Step-by-step explanation:

Which values of x would make a polynomial equal to zero if the factors of the
polynomial were (x-3) and (x-7)?

Answers

Answer:

x = 3 and x = 7

Step-by-step explanation:

Equate the product of the factors to zero, that is

(x - 3)(x - 7) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 7 = 0 ⇒ x = 7

Final answer:

To find the values of x that make a polynomial equal to zero, set each factor equal to zero and solve for x. The values of x that would make the polynomial equal to zero are x = 3, and x = 7.

Explanation:

To find the values of x that make a polynomial equal to zero, you need to set each factor equal to zero and solve for x.

Set x-3=0 and solve for x to get x=3.

Set x-7=0 and solve for x to get x=7.

Therefore, the values of x that would make the polynomial equal to zero are x = 3 and x = 7.

Solve the three equations in the table by factoring. Then enter those factors and the solutions in the table.
Equations: x^2 + 10 = 0, 4x^2 + 25 = 0, x^2 + 121 = 0
Factors: _______, ________, _______
solutions: _______,________, _______

Answers

Solutions are denoted by index. Most of the equations you listed has 2 solutions.

Number one cannot be factored using whole numbers.

Number two.

[tex]

4x^2+25=0\Longrightarrow(2x+5)(2x-5)=0 \\

x_1\Longleftrightarrow\boxed{2x+5=0\Longrightarrow x=-\dfrac{5}{2}} \\

x_2\Longleftrightarrow\boxed{2x-5=0\Longrightarrow x=\dfrac{5}{2}}

[/tex]

Number three.

[tex]

x^2+121=0\Longrightarrow(x+11)(x-11)=0 \\

x_1\Longleftrightarrow\boxed{x+11=0\Longrightarrow x=-11} \\

x_2\Longleftrightarrow\boxed{x-11=0\Longrightarrow x=11}

[/tex]

Hope this helps.

Check the picture for the correct answer:                                          

A parabola with vertex (1,5) and y-intercept
(0,2) crosses the x-axis in two places. One x-
intercept is at (-0.29,0). Find the other x-
intercept. Separate the values with a comma.

Answers

Answer:

So the other x-intercept we are looking for is (2.29 , 0).

Step-by-step explanation:

The equation for a parabola in vertex form is

[tex]y=a(x-h)^2+k[/tex] where (h,k) is the vertex.

So we are given (h,k)=(1,5) so let's plug that in.  This gives us the following equation for our parabola:

[tex]y=a(x-1)^2+5[/tex].

Now we need to find [tex]a[/tex]. Let's find [tex]a[/tex] by using another point (x,y) given.  We are given that (0,2) is on our parabola. So when x is 0, y is 2.

This gives us the equation:

[tex]2=a(0-1)^2+5[/tex]

[tex]2=a(-1)^2+5[/tex]

[tex]2=a(1)+5[/tex]

[tex]2=a+5[/tex]

[tex]2-5=a[/tex]

[tex]-3=a[/tex]

So our parabola in vertex form looks like this:

[tex]y=-3(x-1)^2+5[/tex]

Now we are asked to find the x-intercepts.

You can find the x-intercepts by setting y equal to 0 and solving for x.

So let's do that:

[tex]0=-3(x-1)^2+5[/tex]

Subtract 5 on both sides:

[tex]-5=-3(x-1)^2[/tex]

Divide both sides by -3:

[tex]\frac{5}{3}=(x-1)^2[/tex]

Take the square root of both sides:

[tex]\pm \sqrt{\frac{5}{3}}=x-1[/tex]

Add 1 on both sides:

[tex]\pm \sqrt{\frac{5}{3}}+1=x[/tex]

So the two solutions in exact form are

[tex]x=\sqrt{\frac{5}{3}}+1 \text{ or } -\sqrt{\frac{5}{3}}+1[/tex]

Putting both into calculator (separately) gives:

[tex]x \approx 2.29 \text{ or } -0.29[/tex]

So the other x-intercept we are looking for is (2.29 , 0).

Find the median of the following data:
10,16, 15, 14, 8, 21, 10, 5, 19, 18, 4, 5, 16, 12, 10,9

Answers

Answer:

The median is 11.

Step-by-step explanation:

First arrange the data in ascending order:

4, 5, 5, 8, 9 , 10, 10, 10, 12, 14, 15, 16, 16, 18, 19, 21

There are 16 numbers so the median is the mean of the middle 2 numbers in the list. That is the  mean of the 8th and ninth number.

Median = 10 + 12 / 2

= 11.

Answer:

answer is 12 ape x

Step-by-step explanation:

i am not sure why tho to be honest if a verified answer is 11

What’s x-2 = 3x-84
I just need this answered to be able to answer another equation.
30 points

Answers

Answer:

x = 41

Step-by-step explanation:

Subtract the lower term in both sides

3x - x = 2x

2x - 84 = -2

Add 84 in both sides

84 -2 = 82

2x = 82

Divide 2 in both sides

2x/2 = x

82/2 = 41

Simplify

x = 41

Answer

x = 41

Answer:

[tex]\huge \boxed{x=41}[/tex]

Step-by-step explanation:

First thing you do is add by 2 from both sides of equation.

[tex]\displaystyle x-2+2=3x-84+2[/tex]

Simplify.

[tex]\displaystyle x=3x-82[/tex]

Then you subtract by 3x from both sides of equation.

[tex]\displaystyle x-3x=3x-82-3x[/tex]

Simplify.

[tex]\displaystyle -2x=-82[/tex]

Divide by -2 from both sides of equation.

[tex]\displaystyle \frac{-2x}{-2}=\frac{-82}{-2}[/tex]

Simplify, to find the answer.

[tex]\displaystyle -82\div-2=41[/tex]

[tex]\large \boxed{x=41}[/tex], which is our answer.

Circle A has been dissected into 16 congruent sectors. The base of one sector is 1.95 units, and its height is 4.9 units. What is the approximate area of circle A?

circle A is dissected into 16 congruent sectors, one sector is highlighted
27.52 units2
48.92 units2
75.39 units2
76.44 units2

Answers

Answer:

[tex]A=76.44\ units^{2}[/tex]

Step-by-step explanation:

To find the approximate area of the circle, calculate the area of one sector and then multiply by 16

Remember that

The area of a triangle (one sector) is equal to

[tex]A=\frac{1}{2}(b)(h)[/tex]

therefore

The approximate area of the circle is equal to

[tex]A=(16)\frac{1}{2}(1.95)(4.9)[/tex]

[tex]A=76.44\ units^{2}[/tex]

Answer:

D.76.44 square units

Step-by-step explanation:

We are given that

Base of one sector=b=1.95 units

Height of sector=h=4.9 units

Total number of sectors=16

Area of one sector is equal to area of triangle (approximately)

Area of sector=[tex]\frac{1}{2}bh[/tex]

Using the formula

Area of one sector=[tex]\frac{1}{2}(1.95)(4.9)=4.7775[/tex] square units

Area of circle A=[tex]16\times [/tex]area of sector

Area of circle A=[tex]16\times 4.7775=76.44[/tex] square units

Hence,option D is true.

Wiat number should be added to both sides of the equation to complete the square? X^2+x=11

Answers

Answer:

add 1/4 to each side

Step-by-step explanation:

x^2+x=11

We take the coefficient of the x term

1

Then divide it by 2

1/2

Then square it

(1/2) ^2 = 1/4

Add this to both sides of the equation

x^2 + x + 1/4 = 11+1/4

(x+1/2)^2 = 11 1/4

Answer:

0.25.

Step-by-step explanation:

x^2 + x = 11

(x + 0.5)^2 - 0.25 = 11

(x + 0.5)^2 - 0.25 + 0.25 = 11 + 0.25

(x + 0.5)^2 = 11.25.

Write the point slope form of an equation of the line through the points (-2,-3) and (-7,4) please answer

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (- 7, 4)

m = [tex]\frac{4+3}{-7+2}[/tex] = [tex]\frac{7}{-5}[/tex] = - [tex]\frac{7}{5}[/tex]

We can use either of the 2 points for (a, b)

Using (a, b) = (- 7, 4), then

y - 4 = -[tex]\frac{7}{5}[/tex](x - (- 7)), that is

y - 4 = - [tex]\frac{7}{5}[/tex](x + 7) ← in point- slope form

A translation moves point V(-2,3) to V’(2,7). Which are true statements about the translation?

Answers

Answer:

The translation is right 4 units and up 4 units

Step-by-step explanation:

we know that

The rule of the translation of the point V to V' is equal to

(x,y) ----> (x+4,y+4)

That means ----> The translation is right 4 units and up 4 units

Verify

V(-2,3) -----> V'(-2+4,3+4)

V(-2,3) -----> V'(2,7)

Is correct

The true statement is: The transformation is a vertical translation. (Statement 3)

Let's analyze each statement:

1. The point moves two units up and four units to the right.

  - This statement is incorrect. The point moves four units up, not two units up.

2. The transformation rule is (x, y) → (x + 0, y + 4).

  - This statement is incorrect. The transformation rule should be (x, y) → (x, y + 4) because the point moves vertically by adding 4 to the y-coordinate.

3. The transformation is a vertical translation.

  - This statement is correct. The point moves vertically, changing only the y-coordinate.

4. The image is four units to the right of the pre-image.

  - This statement is incorrect. The image is at the same x-coordinate as the pre-image (-2), so it's not four units to the right.

5. The translation can be described as (x, y) → (x - 2, y + 7).

  - This statement is incorrect. The translation rule should be (x, y) → (x, y + 4) because the point only moves vertically.

Complete question:A translation moves point V(-2, 3) to V prime (-2, 7). Which of the following statements are true about the translation?

1. The point moves two units up and four units to the right.

2. The transformation rule is (x, y) → (x + 0, y + 4).

3. The transformation is a vertical translation.

4. The image is four units to the right of the pre-image.

5. The translation can be described as (x, y) → (x - 2, y + 7).

19. A right cone has a radius of 5 cm, an altitude of 12 cm, and a slant height of 13 cm. Find its volume.

A. 314.2 cm3
B. 942.5 cm3
C. 300 cm3
D. 64.1 cm3

Answers

Answer:

[tex]314.2cm^3[/tex]

Step-by-step explanation:

We use the formula below to find the volume:

[tex]\pi r^2\frac{h}{3}[/tex]

Note:

r represents the radiush represents the height of the cone

Simplify:

[tex]\pi 5^2\frac{12}{3}[/tex]

Solve the exponent first, then multiply the fraction:

[tex]\pi 5^2\frac{12}{3} \\\\ 5^2 = 25\\\\ 12/3 = 4\\\\ 25 * 4 = 100\\\\ 100\pi = 314.159[/tex]

Round:

314.15 -> 314.2

Our answer would be [tex]314.2cm^3[/tex]

Find the value of x if A, B, and C are collinear points and B is between A and C.
AB=12,BC=5x−2,AC=3x+20
A. 2
B. 7
C. 6
D. 5

Answers

Answer:

D. 5

Step-by-step explanation:

AC = AB + BC

Substituting what we know

3x+20 = 12 + 5x-2

Combining like terms

3x+20 = 10 +5x

Subtract 3x from each side

3x+20-3x = 10 +5x-3x

20 = 10+2x

Subtract 10 from each side

20-10 = 10-10 +2x

10 = 2x

Divide by 2

10/2 =2x/2

5 =x

Which of these values cannot represent the probability of an event happening?
0.33
56%
7/8
1.2

Answers

Answer:

D.

Step-by-step explanation:

The last option, 1.2, cannot represent the probability of an event happening since it is more than 100% (120%). And event cannot have a higher probability of happening than "happening".

A. 0.33 is a valid response, since it represents 33%.

B. 56% is also a valid response.

C. 7/8 is also a valid response since it represents 0,875 or 87,5%.

Hope it helped,

BiologiaMagister

D. 1.2

Hope i Helped ❤

Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2.5 when y = 100.​

Answers

Answer:

see explanation

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition x = 2.5 when y = 100

k = yx = 100 × 2.5 = 250

y = [tex]\frac{250}{x}[/tex] ← equation of variation

Final answer:

The constant of variation (k) in the inverse relationship equation (y = k/x) can be determined by multiplying the x and y values provided. In this case, k = 250. Therefore, the equation of variation would be y = 250 / x.

Explanation:

Given the inverse relationship where y varies inversely with x, it follows the general equation of y = k/x. This relationship is provided by the constant of variation (k). It can be determined by multiplying the given x and y values.

In this case, x = 2.5 when y = 100. We substitute these into our inverse relationship equation, yielding 100 = k/2.5. By multiplying both sides by 2.5, we are able to find that k = 250. Therefore, the equation of variation would be y = 250/x.

Learn more about Inverse Variation here:

https://brainly.com/question/26149612

#SPJ3

if two points on a line are (4,6) and B (8,-8) the rise is..? and the run is..? so the slope of the line is ...?​

Answers

Step-by-step explanation:

[tex]rise=y_2-y_1\\\\run=x_2-x_1\\\\slope=\dfrac{rise}{run}`\\\\\text{We have}\ (4,\ 6),\ (8,\ -8).\ \text{Substitute:}\\\\rise=-8-6=-14\\\\run=8-4=4\\\\slope=\dfrac{-14}{4}=-\dfrac{7}{2}[/tex]

How can one thirdx − 2 = one fourthx + 11 be set up as a system of equations?

Answers

Answer:

3y-x= -6

4y-x=44 ....

Step-by-step explanation:

Let y= 1/3x-2

Let y= 1/4x+11

Now we are required to arrange them in standard form.

So,

y= 1/3x-2

Combine the variable terms:

-1/3x+y=-2

Multiply both sides by 3

3(-1/3x+y)=3* -2

-x+3y= -6

3y-x= -6 ---------equation 1

y= 1/4x+11

Combine the variable terms:

-1/4x+y = 11

Multiply both sides by 4

4(-1/4x+y) = 4*11

-x+4y=44

4y-x=44 -----------------equation 2

Therefore the system of equations is:

3y-x= -6

4y-x=44 ....

Answer: Hello there!

we have that "one thirdx − 2 = one fourthx + 11"

this means  (1/3)x - 2 = (1/4)x + 11

now, we also can write this as:

(1/3)x - 2 = y = (1/4)x + 11

and now we have a system of equations:

(1/3)x - 2 = y

(1/4)x + 11 = y

or

(1/4)x - y = -11

(1/3)x - y = 2

Find the midpoint of segment with endpoints (-7,3) and (3,-3)

Answers

Answer:

(-2,0)

Step-by-step explanation:

To find the midpoint, we need to average our x's and then average our y's.

Our x's are -7 and 3. We average them together like so (-7+3)/2=-4/2=-2.

Our y's are 3 and -3. We average them together like so (3+-3)/2=0/2=0.

So the midpoint is

(average of x's , average of y's).

Our mudpoint is (-2,0).

The weight of an object is the force generated by Earth's gravity accelerating the object's ______.

Answers

Answer:

mass

Step-by-step explanation:

From the universal law of gravity

[tex]F=G\frac{Mm}{r^2}[/tex]

Where

G = Gravitational constant = 6.674×10⁻¹¹ m³/kg⋅s²

M = Mass of Earth = 5.972×10²⁴ kg

r = Radius of Earth = 6.371×10⁶ m

[tex]\\\Rightarrow ma=G\frac{Mm}{r^2}\\\Rightarrow a=G\frac{M}{r^2}\\\Rightarrow a=6.674\times 10^{-11}\frac{5.972\times 10^{24}}{(6.371\times 10^6)^2}\\\Rightarrow a=9.81\ m/s^2[/tex]

So the force of gravity acting on the mass of an object is

W = m×9.81

∴ Weight of an object is the product of mass and acceleration due to gravity

the smallest number which is divisible by both 306 and 657​

Answers

Answer:

22,338 is the smallest number that is divisible by both 306 and 657. In other words, 22,338 is the least common multiple of 306 and 657.

Step-by-step explanation:

The question is asking for the smallest number that is divisible by 306 and 657. That number in question is also known as the least common multiple of 306 and 657.

Neither 306 nor 657 is prime; the two numbers themselves are made of prime factors. For the number in question to be divisible by both 306 and 657, it needs to include the factors of both 306 and 657. However, for this number to be as small as possible, it needs to contain only the necessary factors and nothing else.

To find the factors required for this number, start by finding all the prime factors of the two divisors.

[tex]\begin{aligned}306&=2 \times 153\\ &= 2\times 3 \times 51\\ &= 2 \times 3 \times 3 \times 17 \\ &= 2 \times 3^{2} \times 17\end{aligned}[/tex].

In other words, the prime factors of 306 are:

One [tex]2[/tex], Two [tex]3[/tex]s, andOne [tex]17[/tex].

Similarly,

[tex]\begin{aligned}657&= 3 \times 219\\ & = 3 \times 3 \times 73\\&=3^{2}\times 73 \end{aligned}[/tex].

The prime factors of 657 are:

Two [tex]3[/tex]s, andOne [tex]73[/tex].

[tex]\begin{array}{l||l|l||l}\text{Factor}& 306 & 657 & \text{New Number}\\\cline{1-4} \\[-1.0em]2 &\text{1 Occurrence}& \text{0 Occurrence} & \text{1 Occurrence}\\3 &\text{2 Occurrence} & \text{2 Occurrence}& \text{2 Occurrence}\\ 17 &\text{1 Occurrence}& \text{0 Occurrence} & \text{1 Occurrence}\\73 &\text{0 Occurrence}& \text{1 Occurrence} & \text{1 Occurrence}\end{array}[/tex].

The number in question shall contain at least

One [tex]2[/tex], Two [tex]3[/tex],One [tex]17[/tex], andOne [tex]73[/tex].

As a result, that number shall be equal to [tex]2 \times 3^{2}\times 17 \times 73 = 22338[/tex].

32 = [4(2 + 5) - 2 • 6]

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\bold{{32 = [4(2 + 5) - 2\times6]}}[/tex]

[tex]\text{[4(2 + 5) - 2} \ \times \ 6][/tex]

[tex]\text{Do PEMDAS}\downarrow[/tex]

[tex]\huge\text{Parentheses}\\\huge\text{Exponents}\\\huge\text{Multiplication}[/tex] [tex]\huge\text{Division}\\\huge\text{Addition}\\\huge\text{Substraction}[/tex]

[tex]\huge\text{First, we do PARENTHESES}[/tex]

[tex]\huge\text{2 + 5 which equals 7}[/tex]

[tex]\huge\text{4(7) - 2(6)}[/tex]

[tex]\huge\text{Next step is multiplication since we don't have}[/tex] [tex]\huge\text{exponents}[/tex]

[tex]\huge\text{4(7) = 28}\\\\\huge{\text{2(6) = 12 }[/tex]

[tex]\huge\text{Thirdly, we have to do subtraction since}[/tex] [tex]\huge\text{we don't have have any division or addition}[/tex]

[tex]\huge\text{28 - 12 = 16}[/tex]

[tex]\boxed{\boxed{\huge\bf{Answer: 32\neq16\ so,\ it \ is \ FALSE}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

If pentagon OPQRS is dilated by a scale factor of seven over four from the origin to create O'P'Q'R'S', what is the ordered pair of point Q'? If O negative 1, 2, at P negative 5, 3, at Q negative 3, negative 2, at R 2, 1, and at S 2, 5.

Answers

Answer:

The order pair of point Q' is (-21/4 , -7/2)

Step-by-step explanation:

* Lets explain the dilation

- A dilation is a transformation that changes the size of a figure.  

- The figure can become larger or smaller, but the shape of the

 figure does not change.  

- The scale factor, measures how much the image will be larger

 or smaller  

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

- The center of dilation is a fixed point in the plane about which all

 points are expanded or contracted

* Lets solve the problem

- The pentagon OPQRS is dilated by a scale factor 7/4

- The center of dilation is the origin

- The image of the pentagon after the dilation is O'P'Q'R'S'

∵ The coordinates of the vertices of the pentagon OPQRS are

  O (-1 , 2) , P (-5 , 3) , Q (-3 , -2) , R (2 , 1) , S (2 , 5)

- To find the image of each point after the dilation multiply each

  coordinates of the points by the scale factor of dilation

∵ The scale factor is 7/4

∵ The coordinates of point Q are (-3 , -2)

∴ The image of point Q after dilation is (-3 × 7/4 , -2 × 7/4)

∴ The image of point Q after dilation is (-21/4 , -7/2)

∵ Q' is the image of Q

Q' = (-21/4 , -7/2)

* The order pair of point Q' is (-21/4 , -7/2)

Answer:

The answer is (−5.25, −3.5)

Step-by-step explanation:

-3 times 7/4 is -5.25. -2 times 7/4 is -3.5.

Write 65% as a fraction in simplest form.​

Answers

Answer:

13/20

Step-by-step explanation:

This is actually pretty simple. I had trouble with this for the longest time but it makes sense to me now. A number that is a percent is equal to that number over 100.

65%=65/100

Then all you have to do is simplify! (yaaay)

65/100=13/20

If you need anymore help with this or anything else just let me know!

Write 65% as a fraction in simplest form.

13/20

65%=65/100

65/100=13/20

Consider the equation and its solution.

-15(x-[])=25
-15x+30=25
-15x=-5
x=1/3

What number should be in the empty box?
A. -30
B. -2
C. 2
D. 30

Answers

Answer:

The correct answer is C. 2.

Step-by-step explanation:

To solve this problem, we should begin with the second step and work backwards in order to find the unknown value.  If given the equation -15x + 30 = 25, we should factor out a -15 to simplify.  This method is shown below.

-15x + 30 = 25

-15(x-2) = 25

We know this is correct because if we redistribute the -15 through the parentheses using the distributive property, we would get our original equation again.  In other words, this answer is confirmed by the fact that -15 * -2 equals positive 30.

However, we need to look closely at the question that is asked.  The box that we must fill in is already preceded by a negative sign, thus the correct answer is C. 2.

We can check our work by replacing the box with the number 2, getting -15(x-2) + 30 = 25, which was the equation we got earlier.

Hope this helps!

Answer:



Thank Me later lol

Helpppppppppppp me please

Answers

Answer:

8*6 + 12*h ≥144

Step-by-step explanation:

8 dollars at the movie theater

12 dollars at the restaurant

scheduled 6 hours at the movie theater

need to make at least 144 dollars

The money he makes is the hours times the rate

rate * hours at movie theater + rate *hours at restaurant

This must be greater than or equal to 144

Let h be the hours at the movie theater

8*6 + 12*h ≥144

Using the quadratic formula to solve 5x=6x^2-3, what are the values of x?

Answers

Answer:

[tex]x=\frac{5 \pm \sqrt{97}}{12}[/tex]

Step-by-step explanation:

First step is to arrange so it is in the form [tex]ax^2+bx+c=0[/tex].

We have [tex]5x=6x^2-3[/tex].

Add we really need to do is subtract 5x on both sides:

[tex]0=6x^2-5x-3[/tex].

Now let's compare [tex]6x^2-5x-3[/tex] to [tex]ax^2+bx+c[/tex].

We have [tex]a=6,b=-5,c=-3[/tex].

The quadratic formula is [tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex].

I like to break this into parts:

Part 1:  Find [tex]-b[/tex].

Part 2: Find [tex]b^2-4ac[/tex].

Part 3: Find [tex]2a[/tex].

Answering the parts:

Part 1: [tex]-b=5[/tex] since [tex]b=-5[/tex].

Part 2: [tex]b^2-4ac=(-5)^2-4(6)(-3)=25-24(-3)=25+72=97[/tex].

Part 3: [tex]2a=2(6)=12[/tex].

Now our formula in terms of my parts looks like this:

[tex]x=\frac{\text{Part 1} \pm \sqrt{Part 2}}{Part 3}[/tex]

Our formula with my parts evaluated looks like this:

[tex]x=\frac{5 \pm \sqrt{97}}{12}[/tex].

Solve the system of linear operations

Answers

Answer:

[tex]\boxed{(-2,1)}[/tex]

Step-by-step explanation:

[tex]\left \{ {{5x+2y=-8} \atop {x+4y=2}} \right.[/tex]

I'll be solving this system of equations using the elimination method since the x and y values are neatly lined up.

I want to get a pair of x's or y's that cancel out, and it looks like the easiest way to start would be by multiplying the first equation by -2 (the y's will cancel).

I chose to multiply the first equation by -2 instead of multiplying the second equation by 5 because -2 is a smaller number and easier to multiply by.

[tex]-2\times(5x+2y=-8)[/tex]

Distribute -2 inside the parentheses. Now you've got:

[tex]\left \{ {{-10x-4y=16} \atop {x+4y=2}} \right.[/tex]

Add up the equations from top to bottom.

-10x plus x is -9x, the -4y and 4y cancel out, and 16 plus 2 is 18. Make this one single equation.

[tex]-9x=18[/tex]

Divide both sides by -9.

[tex]x=-2[/tex]

Substitute this value of x into the second equation (less to do with the x since it has no coefficient which means no multiplying).

[tex](-2)+4y=2[/tex]

Add 2 to both sides.

[tex]4y=4[/tex]

Divide both sides by 4.

[tex]y=1[/tex]

The final answer is [tex]x=-2, ~y=1[/tex].

What is the slope of a trend line that passes through the points (1,3) and (10,25)

Answers

Answer:

22/9

Step-by-step explanation:

The slope of a line can be found by using the slope formula

[tex]\frac{y_2-y_1}{x_2-x_1} \text{ where we have points } (x_1,y_1) \text{ and } (x_2,y_2) \text{ on the line }[/tex].

Or what I like to do is line up the points and subtract vertically, then put 2nd difference over 1st difference. Like so:

 ( 10  , 25)

- (  1  ,    3)

----------------

9         22

So the slope is 22/9.

You could have done it the other way too. That is:

 (1  ,  3)

-(10 , 25)

------------

-9    -22

So the slope is -22/-9 or just 22/9.

Answer:

The slope of a trend line is:

[tex]m=\frac{22}{9}[/tex]

Step-by-step explanation:

The slope m of a line is calculated using the following formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For any pair of points [tex](x_1, y_1),\ (x_2, y_2)[/tex] that belong to the line

In this case the points are (1,3) and (10,25)

Therefore the slope is:

[tex]m=\frac{25-3}{10-1}[/tex]

[tex]m=\frac{22}{9}[/tex]

Graph the linear equation in three plots: -x+2y=11

Answers

Answer:

In the attachment.

Step-by-step explanation:

Convert the given equation to the form y = mx + b:

[tex]-x+2y=11[/tex]          add x to both sides

[tex]2y=x+11[/tex]          divide both sides by 2

[tex]y=\dfrac{1}{2}x+\dfrac{11}{2}[/tex]

It's a linear function.

We need only two points to plot the graph. Select any two x values, insert into the equation and calculate y values.

for x = 1

[tex]y=\dfrac{1}{2}(1)+\dfrac{11}{2}=\dfrac{1}{2}+\dfrac{11}{2}=\dfrac{12}{2}=6\to(1,\ 6)[/tex]

for x = -5

[tex]y=\dfrac{1}{2}(-5)+\dfrac{11}{2}=-\dfrac{5}{2}+\dfrac{11}{2}=\dfrac{6}{2}=3\to(-5,\ 3)[/tex]

Why phaythagores had called a mad person and what was the impact of this statement​

Answers

Answer: By phaythagores I think you mean pythagorean.

The Pythagorean theorem states that a^2+b^2=c^2. In a right angled triangle the square of the long side is equal to the sum of the squares of the other two sides.

Step-by-step explanation: Pythagoras was a greek philosopher and mathematician. He was often described as one of the purest mathematicians of his time. He had many followers and his teachings are still renowned today.The mystical Pythagoras was so excited by this discovery that he became convinced that the whole universe was based on numbers, and that the planets and stars moved according to mathematical equations!

Answer:

the madnes

Step-by-step explanation:

Other Questions
According to the text, what Spanish city are Charlie and Sophie in today?PamplonaSalamancaSantiagoBarcelona Whitch one WILL PICK BRAINLIEST!!!!!!Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale drawing as her model. The scale used on the drawing is 1:6. As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.1. What is the actual width of the painting? ________ inches2. What is the actual height of the painting? ________inches3. On the scale drawing, the top edge of the "H" is 5/6 inches from the top edge of the drawing. What is the actual height of the "H"? _________ inches4. What is the actual width of the "H" (through the center)? ________inche5. What is the actual distance from the left edge of the painting to the left edge of the "H"? _________inches What was the range of snowfall in Denver? What is the value of x x=2.25X=11.25 Which of the following directors made Bonnie and Clyde? a. Arthur Penn b. Warren Beaty c. Stanley Kubrick d. None of the above Find the values of X and Y Which element is part of the rhetorical situation?A. PropagandaB. HyperboleC. AudienceD. Format How do you solve and graph this equation Can u guys PLEASE do this question 30 a what did darwin research? what did he conclude? A measure of the force that moves charges through a conducting material How did the transcontinental railroad impact travel? A. It allowed passengers to travel from Chicago to New York. B. It allowed passengers to travel from Canada to Florida. C. It allowed passengers to travel from Maine to Florida. D. It allowed passengers to travel from the Atlantic Ocean to the Pacific. This group participated in movements for greater democratization in El Salvador, particularly demanding the inclusion of women at all levels of El Salvador's political decision-making bodies. They were known as which of the following? What is the factorization of 81a6 -100 help pleaseee !!!! which description matches the function represented by this graph After the Spanish-American War, the United States gained control of Samoa, Guam, and Puerto Rico. Which options most accurately analyze how this expansion transformed the United States? (Select all that apply.) It established its presence on the world stage as an imperial power. It prevented the United States from developing its economic might. It led to an increase in tension between the United States and Canada. It allowed the United States to establish a military presence abroad. Calculate the mass of the air contained in a room that measures 2.50 m x 5.50 m x 3.00 m if the density of air is 1.29 g/dm3.53.2 g3.13 x 10-3 g3.20 x 104 g5.32 x 104 g5.32 x 107 g A study determined that there is a strong correlation between getting less than 8 hours of sleep a day and lower test scores. Can it be determined that the low test scores are caused by sleep deprivation? Explain. A) Causation cannot be proven because lower test scores can occur for other reasons, such as not studying or poor attendance.B)Causation cannot be proven because all students get less than 8 hours of sleep.C)Causation can be proven because it is well known that less sleep lowers test scores.D)Causation can be proven because an experiment was used to prove this hypothesis. Does 3 to the 2 power plus 3 to the 3 power equal 3 to the 5 power? Please Explain! Please help ASAP this is all due today