What is the equation of the following line? Be sure to scroll down first to see
all answer options.

Answer:

Zack and bo

Step-by-step explanation:

A and B is where the circles intersect so zack and bo are the only names I see there.

The elements {Zack, Bo} are in A and B.

The element that is present in both set A and set B i.e. at the common area of set A and set B in Venn diagram is called set A intersection set B.

Here In Venn diagram set A is green colored which contains the element {Kalie, Noah, Zack, Bo}

Set B is orange colored which contains the element {Julia, Zack, Bo}.

The elements which are present in both A and B are the intersection of set A and set B.

These elements are available at the common joint area of set A and set B.

Here, dark color represents the area that contains the element present in A and B.

In that dark-colored region, the elements present are {Zack,Bo}.

Therefore The elements {Zack, Bo} are in A and B.

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Answer:

Step-by-step explanation:

When you divide by 100, the decimal moves 2 places to the left.

847.8

When you have moved the decimal 3 places to the left, you have divided by 1000

To reverse the effects of 847.8 by dividing by 10000 you need to multiply by 10000

847.8 * 10000 = 8478000 Try this on your calculator to confirm it.

Same with the last one. To get 847.8 when you have divided by 1 million, you movie the decimal in the answer 6 places.

847.8 * 1000000 = 847800000

Answer:

x = 7

Step-by-step explanation:

-10 + 5 + 3x = 16

-5 + 3x = 16

3x = 21

x = 7

Answer:

x = 18.

Step-by-step explanation:

x + 9.5 = 27.5

Subtract 9.5 from both sides:

x = 27.5 - 9.5

x = 18 (answer).

wassup the answer is 18 have fun get that A+

Answer:

A.

Step-by-step explanation:

Now since the degree is odd (3 in this case) and the leading coefficient is positive (1), then the end behavior is going to be:

for left-end behavior, it is down

for right-end behavior, it is up

We are going to definitely have some increasing action going on because it goes from down to up reading from left to right.

Let's graph it in our ti-84's or whatever you have.

This is a very rough graph but you can see it is just increasing on the entire domain.  This means reading the graph from left to right, there is only rise.

I can give you an answer with calculus in it if you prefer.

Answer:

a

Step-by-step explanation:

bc its the only one that makes sence to me heheh

Answer: Option D

Step-by-step explanation:

A relationship is a function if and only if for each input value x (domain) only one output value y is assigned (Range)

Option A.

Note that x represents the input values and y represents the output values.

When [tex]x = 3[/tex] then [tex]y = 14[/tex] and [tex]y = 19[/tex].

The input value [tex]x = 3[/tex] has two output values  y assigned.

So the relationship is not a function

Option B.

Note that x represents the input values and y represents the output values.

When [tex]x = 3[/tex] then [tex]y = 0[/tex] and [tex]y = -5[/tex].

The input value [tex]x = 3[/tex] has two output values y assigned.

So the relationship is not a function

Option C

Note that x represents the input values and y represents the output values.

When [tex]x = -1[/tex] then [tex]y = -11[/tex] and [tex]y = 5[/tex].

[tex](-1,-11)[/tex] , [tex](-1, 5)[/tex]

The input value [tex]x = -1[/tex] has two output values y assigned.

So the relationship is not a function

Option D

Note that x represents the input values and y represents the output values  and for each input value x (domain) only one output value y is assigned (Range)

[tex]\{(-5, 3), (-3, 1), (-1, -1), (1, -1), (3, 1), (5, 3)\}[/tex]

So the relationship is a function

Answer:

The value of x is 4

Step-by-step explanation:

we know taht

The intersecting chords theorem  states that the products of the lengths of the line segments on each chord are equal.

so

In this problem

[tex](12)(x)=(8)(x+2)[/tex]

solve for x

[tex]12x=8x+16[/tex]

[tex]12x-8x=16[/tex]

[tex]4x=16[/tex]

[tex]x=4[/tex]

Answer:

The area (probability) is: 0.6864.

Step-by-step explanation:

According to the statement, we are in front of a normal distribution with the following parameters:

µ (mean) = 0

σ (Standard deviation) = 1.

Then we need to find the area of the shaded region, which is the area between the points -1.21 < z < 0.84.

And the area (probability) is: 0.6864.

Answer:

A. 0.6864

Step-by-step explanation:

The area of the shaded region between the two z-scores indicated in the diagram is 0.6864.

mean = 0

Standard deviation = 1

Answer:

b =45

Step-by-step explanation:

A full circle is 360 degrees

b+315 = 360

Subtract 315 from each side

b+315-315 = 360-315

b =45

Answer:

33

Step-by-step explanation:

Using Angela's method, we first multiply, then round.

V = (7.2)(3.5)(8.7)

V = 219.24

V ≈ 219

Using Brian's method, we first round, then multiply.

V = (7.2)(3.5)(8.7)

V ≈ (7)(4)(9)

V ≈ 252

The positive difference between their answers is:

252 − 219 = 33

The positive difference between Angela's and Brian's rounded volumes is 33.

The volume of a cuboid is equal to the product of length, width and height of a cuboid.

According to Angela's method,

V = (7.2)(3.5)(8.7)

V = 219.24

First found the volume, then round.

V ≈ 219

According to Brian's method,

V = (7.2)(3.5)(8.7)

First round, then found the volume,

V ≈ (7)(4)(9)

V ≈ 252

The positive difference between their answers  = 252 − 219 = 33

Hence, the positive difference between Angela's and Brian's rounded volumes is 33

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Answer:

Option C and D is correct

Step-by-step explanation:

We need to find the slopes of the given segments.

The lines are parallel if there slopes are equal.

A) = RS, where R is at (1, 3) and S is at (4, 2)

[tex]Slope\,\,of\,\,RS =\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\Slope\,\,of\,\,RS=\frac{2-3}{4-1}\\Slope\,\,of\,\,RS=\frac{-1}{3}[/tex]

Option A is incorrect because Slope of MN = -3 while slope of RS = -1/3

B)= PQ, where P is at (5, 6) and Q is at (8, 7)

[tex]Slope\,\,of\,\,PQ =\frac{y_{2}-y_{1}}{x_{2}-xx_{1}} \\Slope\,\,of\,\,PQ=\frac{7-6}{8-5}\\Slope\,\,of\,\,PQ=\frac{1}{3}[/tex]

Option B is incorrect because Slope of MN = -3 while slope of PQ = 1/3

C)= TU, where T is at (8, 1) and U is at (5, 10)

[tex]Slope\,\,of\,\,TU=\frac{y_{2}-y_{1}}{x_{2}-xx_{1}} \\Slope\,\,of\,\,TU\,\,=\frac{10-1}{5-8}\\Slope\,\,of\,\,TU\,\,=\frac{9}{-3} \\Slope\,\,of\,\,TU=-3[/tex]

Option C is correct because Slope of MN = -3 while slope of TU = -3

D)= WX, where W is at (2, 6) and X is at (4, 0)

[tex]Slope\,\,of\,\,WX\, =\frac{y_{2}-y_{1}}{x_{2}-xx_{1}} \\Slope\,\,of\,\,WX\,=\frac{0-6}{4-2}\\Slope\,\,of\,\,WX\,=\frac{-6}{2} \\Slope\,\,of\,\,WX\,=-3[/tex]

Option D is correct because Slope of MN = -3 while slope of WX = -3

Segments TU and WX have the slope -3, which is the same as line MN's slope, making them parallel to segment MN.

The question asks which line segments are parallel to a line MN with a slope of
-3. To determine if two segments are parallel, they must have the same slope. The slope of a line through two points (x1, y1) and (x2, y2) is calculated with the formula
m = (y2 - y1) / (x2 - x1).

Let's find the slopes for each segment:

Therefore, the segments parallel to MN are TU and WX.

Answer: 32°

Step-by-step explanation:

m∠BAC = m∠CDE, therefore m∠CDE = 32°

Answer:

Option B, 58°

Step-by-step explanation:

In the given figure AB ║ CD and BC ║ DE ( given )

Since BC ║ DE and BC ⊥ AC

So DE will also be perpendicular to CE

m ∠ BAC = 32° [given]

Since AB ║ CD and line AE is transverse

Then ∠BAC ≅  ∠DCE ≅ 32°

Now in ΔDEC.

∠DCE + ∠CED + ∠EDC = 180°

32° + 90° + ∠EDC = 180°

122° + ∠EDC = 180°

∠EDC = 180 -122

          = 58°

Option B, 58° is the answer.

[tex]\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} h=height\\ r=radius\\ \cline{1-1} h=16\\ r=7 \end{cases}\implies SA=2\pi (7)(16+7) \\\\\\ SA=14\pi (23)\implies SA=322\pi[/tex]

The surface area of the right circular cylindrical container that has a radius of 7 cm and a height of 16 cm in terms of π is 322π.  This is obtained by using the formula for surface area of cylinder.

Surface area of cylinder is, S = 2πrh+2πr², where S is the surface area, r is the radius and h is the height of the cylinder.

Given that r =7 cm, h =16 cm,

S = 2πrh+2πr²

  = 2π(7)(16)+2π(7)²

  = 224π+98π

  = 322π

Hence the surface area of the right circular cylindrical container that has a radius of 7 cm and a height of 16 cm in terms of π is 322π.

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To measure angles within a parallelogram, use a protractor. Align the protractor with the vertex of the angle and read the number where the other side crosses. Repeat for each angle.

To measure the angles within a parallelogram, you can use a protractor. A protractor is a tool that helps measure angles. Here’s how you can use it:

For example, if you want to measure one of the angles in a parallelogram and the protractor shows that the two sides of the angle cross at the 60° mark on the protractor, that means the angle has a measure of 60 degrees.

To find the inverse of a function switch the place of y (aka f(x) ) with x. Then solve for y.

Original equation:

y = 4x + 5

Switched:

x = 4y + 5

Solve for y by isolating it:

x - 5 = 4y + 5 - 5

x - 5 = 4y

(x - 5)/4 = 4y/4

[tex]\frac{1}{4}x-\frac{5}{4} = y[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given the slope of a line m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

A

Step-by-step explanation:

From the diagram:

The general rule of this reflection is

(x,y)→(-x,y)

and this is reflection across the y-axis. The y-axis has the equation x=0.

Answer:

Icosahedron

Step-by-step explanation:

Icosahedron has 20 faces and all the faces are equilateral triangle. Also the faces are congruent and the Icosahedron is one of the five Platonic solids.

Icosahedron has twenty faces that are equilateral triangles.

Icosahedron is one of the 5 Platonic solid which has 20 faces, 12 vertices, 30 edges.

All the faces of Icosahedron is an equilateral triangle at each vertex. also all the faces are congruent and are of the same size.

From the picture given below, it is also clear that

Icosahedron has twenty faces that are equilateral triangles.

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The values of x that make the expression (x - 6)(x + 2) equal to zero are -2 and 6. This is based on the Zero Product Property in Mathematics, which states that if the product of two factors is zero, then at least one of the factors must equal zero.

In Mathematics, the Zero Product Property states that if the product of two factors is zero, then at least one of the factors must be zero. Applying this property in the expression (x - 6)(x + 2) = 0, one can conclude that either (x - 6) = 0 or (x + 2) = 0.

The expression (x−6)(x+2) equals 0 when either (x−6)=0 or (x+2)=0. Solving each equation separately:

For (x−6)=0, add 6 to both sides to get x=6.

For (x+2)=0, subtract 2 from both sides to get x=−2.

So, the values of x that make (x−6)(x+2)=0 are x=−2 and x=6.

Solving both equations, we get two possible solutions, x = 6 or x = -2. So, the values of x that would result in the expression being equal to zero are -2 and 6, listed in order from least to greatest.

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Answer:

[tex]\huge \boxed{123}[/tex]

Step-by-step explanation:

This question is about the order of operations. The order of operations stands for parenthesis, exponent, multiply, divide, add, and subtract.

Do parenthesis.

[tex]\displaystyle (35+25)=60[/tex]

[tex]\displaystyle 60*2+3[/tex]

Multiply from left to right.

[tex]\displaystyle 60*2=120[/tex]

Add numbers from left to right.

[tex]\displaystyle 120+3=123[/tex]

123 is the correct answer.

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 4 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex], hence

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation of the line

To find c substitute (2, 1 ) into the partial equation

1 = - [tex]\frac{2}{3}[/tex] + c ⇒ c = [tex]\frac{5}{3}[/tex]

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ← equation of line

So,

[tex]4^{-x}[/tex]

When [tex]x=-3[/tex]

Becomes,

[tex]4^{-(-3)}=4^3=\boxed{64}[/tex]

Hope this helps.

r3t40

Answer:

[tex]\large\boxed{(f+g)(x)=2x^2+\dfrac{1}{2}x+4\dfrac{1}{3}}[/tex]

Step-by-step explanation:

[tex](f+g)(x)=f(x)+g(x)\\\\\text{We have}\\\\f(x)=\dfrac{1}{3}-\dfrac{1}{2}x,\ g(x)=2x^2+x+4.\\\\\text{Substitute:}\\\\(f+g)(x)=\left(\dfrac{1}{3}-\dfrac{1}{2}x\right)+(2x^2+x+4)\\\\=\dfrac{1}{3}-\dfrac{1}{2}x+2x^2+x+4\qquad\text{combine like terms}\\\\=2x^2+\left(-\dfrac{1}{2}x+x\right)+\left(\dfrac{1}{3}+4\right)\\\\=2x^2+\dfrac{1}{2}x+4\dfrac{1}{3}[/tex]

Answer: .012

Step-by-step explanation:

We know that when two events A and B are independent of each other , then the probability of their intersection is given by :-

[tex]P(A\cap B)=P(A)\ \cdot\ P(B)[/tex]

Given : The probability that a shopper buys shoes is 0.12

The probability that a shopper buys a book is 0.10

Since, both the events are independent , then the probability that a shopper buys shoes and a book is given by :-

[tex]0.12\times0.10=0.012[/tex]

Hence, the probability that a shopper buys shoes and a book is .012 .

Answer:

0.012 is the answer

Answer:

A

Step-by-step explanation:

Alright so in the graph we can see the highest y that is reach is at x=3 which is y=6.  The maximum of the graph g(x) is 6.

Now we have to be a bit more algebraic and messy when comes to finding a maximum (the vertex of the parabola) of f(x)=-2x^2+4x+3.

First step, I'm going to find the x-coordinate of the vertex.  Once we do that we can find the y that corresponds to it by using y=-2x^2+4x+3.

So the x-coordinate of the vertex can be found by computing -b/(2a).

a=-2 and b=4 so we are going to plug that in giving us -4/(2*-2)=-4/-4=1.

So the x-coordinate of the vertex is 1 and we are going to find the y that corresponds to that using y=-2x^2+4x+3.

So let's plug in 1.

This gives us:

y=-2(1)^2+4(1)+3

y=-2(1)+4+3

y=-2+4+3

y=2+3

y=5

So the maximum of graph f is 5.

6 is higher than 5

So g has the higher maximum

So the answer is A.

Answer:

A.) g(x)

Step-by-step explanation:

:p

Answer:

a) The equation of the total cost is d = a + bc

   The equation for calculating the total is d = 60 + 4(50)

b) The total cost for the job is $260

Step-by-step explanation:

* Lets explain how to solve the problem

- Mr. Gomez owns a carpet cleaning business

- The situation of the job;

# a represents the initial charge (in dollar) for coming to the house

# b represents the number of hours the job takes

# c represents the charge (in dollars) for each hour the  job takes

# d represents the total cost (in dollars) of the job

* Lets make the equation of the total cost

∵ The initial amount of the job is a dollars

∵ The number of hours the job takes is b

∵ The charge per hour is c dollars

∵ The total cost of the job is d

- The total cost is the sum of the initial amount and the product of

 the number of hours the job takes and the charge per hour

∵ The total cost = initial amount + the number of hours × charge

   per hour

∴ d = a + b × c

∴ d = a + bc

a)

* The equation of the total cost is d = a + bc

∵ a = $60 , b = 4 hours , c = $50

∴ d = 60 + 4(50)

* The equation for calculating the total is d = 60 + 4(50)

b)

∵ d = 60 + 4(50)

∴ d = 60 + 200

∴ d = 260

* The total cost for the job is $260

Answer:

b. 5x^2 + 9x - 1

Step-by-step explanation:

A quadratic expression had the highest power of the variable at 2

x^2

b. 5x^2 + 9x - 1

a  has the highest power as x

c and d goes higher than x^2

The expression that represents a quadratic expression is 5x^2 + 9x - 1 (option b), which is in the form ax^2 + bx + c, where a, b, and c are constants.

The expression that represents a quadratic expression is option (b), which is 5x^2 + 9x - 1. A quadratic expression is generally in the form ax^2 + bx + c, where a, b, and c are constants, and a is not equal to zero. This type of equation represents a parabola when graphed on a coordinate plane. The examples provided in the question show how various terms relate to the constants a, b, and c in the quadratic equation, and the use of the quadratic formula for solving such equations. Option (a) is linear, option (c) is cubic, and option (d) is quartic, as indicated by the highest powers of x.

Answer:

The answer is 31.83....

Step-by-step explanation:

If you divide 191 by 6 we get:

=31.8333333333

Rounding to the nearest hundredth:

Underline the hundredths place: 31.8333333333

Look to the right. If it is 5 or above 5 then we give it a shove.

If it is 4 or less than 4, we let it go.

In our case it is 3.

Round to 31.83

Therefore the answer is 31.83....

Answer:

Step-by-step explanation:

(x^3 + 2x − 3)(x^4 − 3x^2 + x)

Multiply each value of 2nd bracket with 1st bracket:

=x^4(x^3 + 2x − 3) - 3x^2(x^3 + 2x − 3) +x(x^3 + 2x − 3)

=x^7+2x^5-3x^4-3x^5-6x^3+9x^2+x^4+2x^2-3x

Now combine the terms with same power:

=x^7-x^5-2x^4-6x^3+11x^2-3x

You can also  take the common from the expression:

x(x^6-x^4-2x^3-6x^2+11x-3)....

The product of (x^3 + 2x − 3)(x^4 − 3x^2 + x) is x(x^6-x^4-2x^3-6x^2+11x-3)....

[tex]a_1=1\\d=2\\a_n=1+(n-1)\cdot 2=1+2n-2=2n-1[/tex]