(4x-4) (3x+17)

The lines. intersect at point C. What is the value of X?

Answer:

x = sqrt( 4^2 + 7^2)

Step-by-step explanation:

They want the equation to solve the triangle

We can use the Pythagorean theorem

a^2 + b^2 = c^2

where a and be are the legs and c is the hypotenuse

4^2 + 7^2 = x^2

Take the square root of each side

sqrt(4^2 + 7^2) = sqrt(x^2)

sqrt( 4^2 + 7^2) = x

Answer:

[tex]\large\boxed{x=\sqrt{7^2+4^2}=\sqrt{65}}[/tex]

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have

[tex]leg=7,\ leg=4,\ hypotenuse=x[/tex]

Substitute:

[tex]x^2=7^2+4^2\to x=\sqrt{7^2+4^2}[/tex]

[tex]x=\sqrt{49+16}\\\\x=\sqrt{65}[/tex]

Answer:

[tex]\large\boxed{y=-\dfrac{2}{3}x+\dfrac{1}{3}}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

The formula of a slope:

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

===============================================

We have the points (2, -1) and (5, -3). Substitute:

[tex]m=\dfrac{-3-(-1)}{5-2}=\dfrac{-2}{3}=-\dfrac{2}{3}[/tex]

We have the equation:

[tex]y=-\dfrac{2}{3}x+b[/tex]

Put the coordinates of the point (2, -1):

[tex]-1=-\dfrac{2}{3}(2)+b[/tex]

[tex]-1=-\dfrac{4}{3}+b[/tex]     add 4/3 to both sides

[tex]\dfrac{1}{3}=b\to b=\dfrac{1}{3}[/tex]

Finally:

[tex]y=-\dfrac{2}{3}x+\dfrac{1}{3}[/tex]

Answer:

Step-by-step explanation:

Look at the pictures.

x - sausage

y - bacon

A. 20 pounds of sausage and 90 pound of bacon

x = 20 → y = 100 > 90

B. 40 pound of sausage and 40 pound of bacon

x = 40 → y = 75 > 40

C. 60 pound of sausage and 80 pound of bacon

x = 60 → y = 50 < 80

D. 80 pound of sausage and 20 pound of bacon​

x = 80 → y = 25 > 20

Option A (20 pounds of sausage and 90 pounds of bacon) and Option B (40 pounds of sausage and 40 pounds of bacon) are the possible combinations of pounds of sausage and bacon that you can buy.

The inequality 5x + 4y < 500 represents the possible combinations of pounds of sausage (x) and bacon(y) you can buy.

Let's check each option to see if it satisfies the inequality:

Therefore, options A and B are the possible combinations of pounds of sausage and bacon that you can buy.

Divide the number of bands by the total acts:

3 /16 = 0.1875

Multiply by 100:

0.1875 x 100 = 18.75% were bands.  ( Round answer as needed.)

Answer:

 (4,-7) is the vertex

Step-by-step explanation:

The equation of the parabola is of the form

y= a(x-h)^2 +k

where (h,k) is the vertex

f(x) = -2(x – 4)^2 – 7

  (4,-7) is the vertex

Answer:

The vertex point is (4, -7)

Step-by-step explanation:

Compare withe the general form of the vertex form:

f(x) = a(x - h)^2 + k  where  (h, k) is the vertex.

f(x) = -2(x - 4)^2 - 7.

- so the vertex is (4, -7).

Answer:

C

Step-by-step explanation:

Its C because the graph is not up to scale in order to fit the other options B looks like it could but I cant see the whole graph so Id go with C

Its C because the graph is not up to scale in order to fit the other options B looks like it could but I cant see the whole graph so Id go with C.

Grid Reference a page number, column, and line combination used to identify a container's location in a bay layout. Each area must have a unique Grid Number for quick identification.

Without limiting the generality of the aforementioned, each credit party agrees that the administrative agent shall have the right to sell or otherwise dispose of all or any portion of the collateral at a public or private sale, at any broker's board.

It on any securities exchange, for cash, upon credit, or for future delivery as the administrative age approaches, subject to the mandatory requirements of applicable law.

Therefore, Its C because the graph is not up to scale in order to fit the other options B looks like it could but I cant see the whole graph so Id go with C.

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The given three functions all have the same y-intercept at (0,-3).

We have given that,

f(x) = −6x − 3

g(x) is the graph

h(x) = h(x) = 2 cos(x + π) − 1

A coordinate plane is a two-dimensional plane formed by the intersection of a vertical line called y-axis and a horizontal line called x-axis.

all you have to do is substitute 0 for x and you can also sub y for the function notation

So the first is y=-6x-3

When x=0 then all you have left is y=-3 so the point is (0,-3)

The second function is shown on the graph and the y-intercept (where x=0) is at -3, so the point for that is (0,-3)

And the third function has x=0, So you get[tex]y=2cos(\pi )-1.[/tex]The [tex]cos(\pi )=-1,[/tex]

So that gives

[tex]y=2(-1)-1\\y=-2-1\\ y=-3[/tex]

then and the point is (0,-3)

Therefore they all have the same y-intercept at (0,-3).

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Answer:

-x^3-3x^2+2x+4

Step-by-step explanation:

Just calculate each coefficient of the polynomial separately.

x^3-2x+6-(2x^3+3x^2-4x+2) = (1-2)x^3+(0-3)x^2+(-2-(-4))x+(6-2) = -x^3-3x^2+2x+4.

Answer:

- x³ - 3x² + 2x + 4

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x)

= x³ - 2x + 6 - (2x³ + 3x² - 4x + 2) ← distribute by - 1

= x³ - 2x + 6 - 2x³ - 3x² + 4x - 2 ← collect like terms

= - x³ - 3x² + 2x + 4 ← in standard form

Answer:

55/73

Step-by-step explanation:

Soh Cah Toa gives us our definitions for the trigonometric ratios: sine, cosine, and tangent.

That is the first part means sine is opposite / hypotenuse.

The second part means cosine is adjacent / hypotenuse.

The last part means tangent is opposite / adjacent.

No matter what angle you are looking to label the right triangle from, the hypotenuse will always be the same.  The hypotenuse is the side opposite the 90 angle.  Opposite meaning not touching; across from.

The other two terms are adjacent and opposite and depending on what angle you are looking from these change.

Adjacent means touching (exclude the hypotenuse from this).

Opposite means across from; not touching.

So from Z:

The side that has measurement 55 is opposite to Z.

The side that has measurement 48 is adjacent to Z.

The hypotenuse is the side that has measurement 73.

So from Y:

The side that has measurement 48 is opposite to Y.

The side that has measurement 55 is adjacent to Y.

The hypotenuse is the side that has measurement 73.

We don't label are triangle with respect to the 90 degree, X.

Anyways we asked to find sin(Z).

[tex]\sin(Z)=\frac{\text{opposite to }Z}{\text{ hypotenuse}}=\frac{55}{73}[/tex]

Answer:

29/120

Step-by-step explanation:

-8/-15 · 29/64

Lets rewrite the problem

-8/64 *29/-15

We can simplify the first fraction

-1/8 * 29/-15

Multiply the numerators

-1*28 = -29

Multiply the denominators

8*-15 =-120

Put the numerator over the denominator

-29/-120

A negative over a negative is a positive

29/120

Are you sure you have the factions correct

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

[tex]\dfrac{-8}{-15}\times\dfrac{29}{64}[/tex]

[tex]\dfrac{8\times29}{15\times64}[/tex]

[tex]{8 \times 29 = 232}\\\\\ 15\times 64 = 960[/tex]

[tex]\text{Both numbers goes into 8 (or the GCF is 8.)}\text{ So divide both numbers by 8.}[/tex]

[tex]231\div8 = 29\leftarrow \text{numerator (top number)}\\\\ 960\div8=120\leftarrow\text{denominator (bottom number)}[/tex]

[tex]\boxed{\boxed{\text{Answer: }\bf{\dfrac{29}{120}}}}\checkmark[/tex]

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

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

Answer:

a)

i) Mean = 72

ii) Median = 72

iii) Mode = 72

b)

69, 70, 71, 72, 72, 72, 73, 74, 75

Step-by-step explanation:

a. To find mean, median and mode

It is given that all the 9 students get 72 marks.

Therefore the data set be,

72, 72, 72, 72, 72, 72, 72, 72 72

i) mean = (sum of data)/(total number of data)

 = (9 * 72)/9 = 9

ii) Median - Central data in the data set when arranging ascending or descending order

72, 72, 72, 72, 72, 72, 72, 72 72

Median = 72

iii) Mode - Most repeating data in the data set

Here mode = 72

b). To find a data set

69, 70, 71, 72, 72, 72, 73, 74, 75

Here Mean, mode and median are all 72

Answer:

7.4

Step-by-step explanation:

The information given is in from SAS.

This is a job for law of cosines.

This is the law of cosines [tex]a^2=b^2+c^2-2bc cos(A)[/tex]

The angle A is opposite side a and b,c are the other sides.

So 13 degrees is opposite the y there.

[tex]y^2=16^2+22^2-2(16)(22)\cos(13)[/tex]

Now I'm going to put 16^2+22^2-2*16*22*cos(13) in my calculator:

[tex]y^2=54.04347439[/tex]

Now one more step. To get rid of the square, you need to square root both sides:

[tex]y=\sqrt{54.04347439}=7.351426691[/tex]

Sp the answer is approximately 7.4

Answer:

7.351

I don't know how they have rounded; the closest answer is A

Step-by-step explanation:

The only way I know to do this is with the cos law

y^2 = x^2 + z^2 - 2*x*z cos(Y)

x = 22

z = 16

y = ?

I have serious doubts that this will make a triangle. I ran it though a calculator and it does work -- surprise for me. Substitute the givens.

y^2 = 256 + 484 - 2*10*22*cos(13)

y^2 = 740 - 704*cos(13)

y^2 = 740 - 704*0.9744

y^2 = 740 - 685.95

y^2 = 54.05                                       Take the square root of both sides

y = √54.05

y = 7.351

Answer:

It is D. (x + 1)^2 + (y - 3)^2 = 16.

Step-by-step explanation:

The general equation of a circle is

(x - h)^2 + (y - k)^2 = r^2  where  the center is (h, k) and the radius is r.

So substituting the given values the required equation is:

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

Answer:

D. [tex](x+1)^2+(y-3)^2=16[/tex]

Step-by-step explanation:

We are asked to write equation of a circle whose center is at point [tex](-1,3)[/tex] and whose radius is 4 units.

We know that equation of a circle is standard form is in format [tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h,k)[/tex] is the center of circle.

Upon substituting [tex]h=-1[/tex], [tex]k=3[/tex] and [tex]r=4[/tex] in the standard form of circle, we will get:

[tex](x-(-1))^2+(y-3)^2=4^2[/tex]

[tex](x+1)^2+(y-3)^2=16[/tex]

Therefore, our required equation would be [tex](x+1)^2+(y-3)^2=16[/tex] and option D is the correct choice.

Answer:

Max is 4.

Step-by-step explanation:

Maximum means it has a highest point and what is the highest point.

Minimum means it has a lowest point and what is the lowest point.

It doesn't have a minimum because it keeps going down forever and ever.

It does have a maximum because it does stop at the top. The y-value that is stops at is 4 so the max is 4.

Answer:

12

Step-by-step explanation:

Start by multiplying both sides by 2.

[tex]\frac{1}{2} x+3=\frac{2}{3} x+1\\x+6=\frac{4}{3} x+2[/tex]

Next, multiply both sides by 3.

[tex]x+6=\frac{4}{3} x+2\\3x+18=4x+6[/tex]

Combine like terms.

[tex]3x+18=4x+6\\18=x+6\\12=x[/tex]

Answer:

Sequence 3

-10,-7.5,-5,-2.5,...

Step-by-step explanation:

So f(n+1)=f(n)+2.5 means a term can be found by adding it's previous term to 2.5. That means this is an arithmetic sequence with a common difference of 2.5.

f(n+1)=f(n)+d is the recursive form for an arithmetic sequence with common difference d.

So you are looking for a sequence of numbers that is going up by 2.5 each time.

Let's check sequence 1:

2.5+2.5=5 so not this one because we didn't get 6.25 next.

Let's check sequence 2:

2.5+2.5=5 is what we have for the 2nd term.

5+2.5=7.5 so not this one because we didn't get 10 next.

Let's check sequence 3:

-10+2.5=-7.5 is the 2nd term

-7.5+2.5=-5 is the 3rd term

-5+2.5=-2.5 is the 4th term

Sequence 3 is arithmetic with common difference 2.5 assuming the pattern continues.

Let's check sequence 4 for fun:

-10+2.5=-7.5 is not -25

So we are done. Sequence 3 is the only one that fits term=previous term+2.5 or f(n+1)=f(n)+2.5.

Answer:

The answer should be 1.4<h<1.6

Step-by-step explanation:

Multiply 7 and 8 by 0.2 to find out what 20% is. 7*0.2=1.4 and 8*0.2=1.6. So it should be at or between those two numbers making the inequality 1.4<h<1.6

When an adult sleeps between 7 to 8 hours, they spend between 1.4 and 1.6 hours in REM (Rapid Eye Movement) sleep, which is associated with dreaming.

Given that an adult sleeps 7 to 8 hours, roughly 20% of this time is spent in REM or Rapid Eye Movement sleep, typically associated with dreaming. To find out how much time is spent in REM sleep, we calculate 20% of the total sleep time. If 20% of 7 hours is 1.4 hours and 20% of 8 hours is 1.6 hours, then the correct inequality showing how much time, in hours, is spent in REM sleep is 1.4 < h < 1.6 where 'h' represents number of hours in REM sleep.

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Answer:

[tex](6g)(11g)=\bigg((6)(11)\bigg)(gg)=66g^2[/tex]

Answer:

there would be 212,888 books in the 2nd library, and 6,000 cupboards needed to hold all the books.

Step-by-step explanation:

simple division is all you need to answer. 480,000 divided by 80 is 6,000. for the second part, if the total amount of books between both libraries is 480,000 and one library has 267,112 books, 480,00 - 267,112 is 212,888

Hope this helps :)

feel free to ask if you have any questions

Answer:

The polygon has 9 sides

Step-by-step explanation:

We need to equate the given expression to the given value and solve for n.

The sum of the interior angles, s, in an n-sided polygon is given by the expression:

[tex]s = 180(n - 2)[/tex]

We want to use this formula, to calculate how many sides has a polygon if the sum of the interior angles is 1,260°.

We solve the following equation for n.

[tex]180(n - 2) = 1260[/tex]

Divide through by 180 to get:

[tex] \frac{180(n - 2)}{180} = \frac{1260}{180} [/tex]

[tex]n - 2 = 7[/tex]

Add 2 to both sides to get:

[tex]n = 7 + 2[/tex]

[tex] \therefore \: n = 9[/tex]

Hence the polygon has 9 sides

Answer: d

Step-by-step explanation:

Answer:

The beetle does

Answer:

The Ant travels farther per second

Step-by-step explanation:

To Find how far the ant and beetle travels we have to find out how many feet per second the Ant and Beetle travel.

To find that out for the Ant I divided 30 by 2 and got 15 which means the ant travels 1 foot in 15 second.

To find that out for the beetle I divided 90 by 5 and got 18 which means the beetle travels 1 foot in 18 seconds.

Therefore the Ant travels faster.

Answer:

n ≤  88.2

Step-by-step explanation:

Answer:

"n divided by four-point-two is greater-than or equal to twenty-one".

~

Answer:

The correct option is D.

Step-by-step explanation:

a = 9c²+4

b= 7+3c

Firstly solve 2nd equation for c in terms of b:

b=7+3c

b-7=3c

b-7/3 = c

Now substitute the value of c in equation 1:

a= 9c²+4

a=9(b-7/3)² +4

a=9(b-7)²/9+4

9 will be cancelled by 9, so the equation we get is:

a=(b-7)²+4

Apply whole square formula for (b-7)²

a=b²-14b+49+4

Solve like terms:

a=b²-14b+53

Therefore the correct option is D....

Answer:

TRUE

Step-by-step explanation:

Meaningful use is used to define the minimum standards of the American government for electronic health records and it has five main objectives:

Therefore, the statement is true.

Answer:

1:1

Step-by-step explanation:

Since both equal up to 100% and both are 50%, it's 1:1.

1 stands for 50% and the other 1 stands for 50% too.

Answer:

this was last last year sorry u never got an answer

Step-by-step explanation:

for a³b²c-1d

given

a=2

b=4

c=10

d=15

a³b²c-¹d

=(2³4²10^-1*15

=2³4²15/10

=8*16*15/10

=8*8*3

=64*3

=192

now

a³b²c¹d

=(2³4²10 15)

=(8*16*10*15)

=120*16*10

=1200*16

=19200

Answer:

3/4 if meant [tex]a=2,b=4,c=10,d=15[/tex]

is [tex]a^3b^{-2}c^{-1}d[/tex]

Step-by-step explanation:

So the expression we want to evaluate for [tex]a=2,b=4,c=10,d=15[/tex]

is [tex]a^3b^{-2}c^{-1}d[/tex]

Please make sure I typed the expression and the values for the letters right.

[tex]a^3b^{-2}c^{-1}d[/tex]

Plug in the given values:

[tex](2)^3(4)^{-2}(10)^{-1}(15)[/tex]

In the following step I said 2^3 equals 8 because 2^3 means 2*2*2.  I also got rid of the negative exponents by taking reciprocal.

[tex]8 \cdot \frac{1}{4^2} \cdot \frac{1}{10^1} (15)[/tex]

In the following step I said 4^2=16 because 4^2 means 4*4.  I also wrote 10^1 as 10.

[tex]8 \cdot \frac{1}{16} \cdot \frac{1}{10} (15)[/tex]

In the following step, I'm going to rewrite everything as a fraction if it isn't already a fraction.  8=8/1 and 15=15/1.

[tex]\frac{8}{1} \cdot \frac{1}{16} \cdot \frac{1}{10} \cdot \frac{15}{1}[/tex]

To multiply fractions, you just multiply straight across on top and straight across on bottom.

[tex]\frac{8(1)(1)(15)}{1(16)(10)(1)}[/tex]

Actually performing the multiplication:

[tex]\frac{120}{160}[/tex]

Time to reduce:

[tex]\frac{12}{16}[/tex] I divided top and bottom by 10 to get this.

One more time for reducing:

[tex]\frac{3}{4}[/tex] I divided top and bottom by 4 to get this.

Answer:

x = 5, x=-2

Step-by-step explanation:

The factors are x-5 and x+2:

Set each factor equal to zero and then solve each of them for x to find out what values of x make the polynomial equal to zero.

x-5 = 0 , x+2 = 0

x=0+5 , x=0-2

x=5  , x= -2....

The values of x that make the polynomial 0, given its factors are x⁵ and x + 2, are x = 0 and x = -2.

If the factors of a polynomial are x⁵ and x + 2, to find the values of x that make the polynomial equal to zero, we set each factor equal to zero and solve for x.

For the factor x⁵ = 0, the only solution is x = 0.

For the factor x + 2 = 0, solving for x gives us x = -2.

Therefore, the values of x that make the polynomial 0 are x = 0 and x = -2.

(6x+5)-(x+3).

6x+5-x-3.

Add the like terms.

6x-x+5-3.

We get.

5x+2.

Answer:

6x+5-x-3

=5x+2