There are 250 students in a school auditorium.
Complete the table below.

Answer:

x=-11, -1, and 3

Step-by-step explanation:

x^3+9x^2-25x-33=0

There are formulas to solve cubics, but that probably is not the way you are expected to go.  Here is a trial and error approach that works in this case.

Assume that the cubic can be factored and that the roots are r1, r2, and r3.  Then the factored form is

(x-r1)(x-r2)(x-r3)=0

This shows that the constant must equal the product of the roots.

(r1)(r2)(r3)=-33

One possibility is that the roots are integers.  In this case, a factor of 33 might work.  Prime factorization of 33 gives 3 and 11.  Try 3.  Then (x-3) is a factor.

Divide the cubic by (x-3).  It works. the result is

x^2+12x+11

This has factors of (x+11) and (x+1).  Therefore, the roots are 3, -1, and -11

Answer:

[tex]F = 1.8C + 32[/tex]

Step-by-step explanation:

Given

The attached table

Required

The relationship between both temperatures

This implies that we calculate the table equation

First, we calculate the slope (m)

[tex]m = \frac{F_2 - F_1}{C_2 - C_1}[/tex]

Where:

[tex](C_1,F_1) = (0,32)[/tex]

[tex](C_2,F_2) = (20,68)[/tex]

So, we have:

[tex]m = \frac{68 - 32}{20 - 0}[/tex]

[tex]m = \frac{36}{20}[/tex]

[tex]m = 1.8[/tex]

The equation is then calculated using:

[tex]F = m(C - C_1) + F_1[/tex]

This gives:

[tex]F = 1.8(C - 0) + 32[/tex]

[tex]F = 1.8(C ) + 32[/tex]

[tex]F = 1.8C + 32[/tex]

Answer:

x=4.5

Step-by-step explanation:

PR=28

PQ= 2x+5

Require

Find X

Answer:

Step-by-step explanation:

Sum of the width of the two frames and a gap between them:

The gaps from the left and right are equal to x:

Answer I think D, I would never choose b :

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since x = -15 is a vertical line, their is no y- intercept and the slope is undefined

Answer:

Step-by-step explanation:

I didn’t see any choices but an inverse function switches the x and y values.

For every (x,y) of f(x) the inverse function will have (y,x) of f^-1(x)

Answer:

The point (4, –7) is on the graph of f(x), so the point (7, –4) will be on the graph of f–1(x).  (quick answer A)

Step-by-step explanation:

Answer:

d = 0.4

Step-by-step explanation:

-10 (d + 1) = - 14

=> -10d - 10 = -14

=> -10d = -14 + 10

=> -10d = -4

=> 10d = 4

=> d = 4 / 10

=> d = 0.4

Hope it helps :)

Please mark my answer as the brainliest

Answer:

4^7

Step-by-step explanation:

4^2 + 4^5

=> 4^ 2+5

=> 4^7

Answer:

Step-by-step explanation:

4 and 2 because she is the acrooss line

Answer:

5

Step-by-step explanation:

if the area is 15 you would divide 15 by 3 and you'll get the length of 5

Answer:

5 feet

Step-by-step explanation:

Answer:

A) Average weight = 112.97

standard deviation = 3.913

B) 119.4069

Step-by-step explanation:

A) Estimate the true average weight and standard deviation of the weight

attached below is a detailed solution

Average weight = 112.97

standard deviation = 3.913

B) Assuming a normal distribution Estimate the weight below

attached below is a detailed solution

= 119.4069

Answer:

im only doing this bc im forced to

Answer:

19

Step-by-step explanation:

180-85 = 5y

5y = 95

y = 19

Answer:

7747

Step-by-step explanation:

8476 × 91.4%

=7747

∴ 7747 minor earthquakes occured in 2010

Answer:

Step-by-step explanation:first I don't know

Second I don't know

And finally I don't know

Answer:

geometric, with a common ratio of 1/2

Step-by-step explanation:

The sequence is geometric because you get successive trems by multiplying the previous term by a certain constant, the 'common ratio'. (If you got each successive term by adding or subtracting  the same constant number each time, that would be an arithmetic sequence.)

In this case, it looks like you get each successive term when you multiply the previous term by 1/2.

Thus, the common ratio is 1/2.

Answer:

With $38.50 you can get on 11 rides.

Step-by-step explanation:

10.50 ÷ 3 = 3.50 per ride.

38.50 ÷ 3.50 = 11 rides.

Answer:

24

Step-by-step explanation:

Answer:

3x = 72

x = 24

3(24) = 72

24 boxes of juice need to be bought.

hope this helped yw

Answer:

13.75 square feet

Step-by-step explanation:

all you have to do to find the area of a parallelogram is base * height

= 2.5 * 5.5

= 13.75 square feet

Answer:

13.75 ft^2

Step-by-step explanation:

I) Substitute equation to find the area

a = hb (area = height x base)

a = 2.5(5.5)

II) Solve:

a = 2.5(5.5)

a = 13.75

The area is 13.75 ft^2.

Answer:

6x+3

Step-by-step explanation:

24x-6x-12x+3

6x+3

Answer:

y = -4

x = -2

Step-by-step explanation:

Hi there...

y = 2x

y = -x - 6

Since why is equal to 2x, we can plug it in for y in the second equation. Here's what I mean...

2x = -x - 6

add x on both sides...

3x = -6

divide by 3 on both sides...

x = -2

Now, plug in x for y. Here's what I mean...

y = 2x

y = 2 (-2)

y = -4

Hope this helps :)

Answer:

tge reciprocal of 7/9 is 9/7 while the reciprocal of 9 is 1/9

In order to find the reciprocal of a number, we should just flop it over.

If we have a fraction, and we're asked to find its reciprocal, we should just flop it over.

Please consult the formula for more details:-

[tex]\sf{The~reciprocal~of~a~is~\frac{1}{a}} \\The~reciprocal~of~\frac{a}{b} ~is~\frac{b}{a} }}[/tex]

According to the formula,

[tex]\sf{The~reciprocal~of~\frac{7}{9} ~is~\frac{9}{7} }\\The~reciprocal~of~9~is~\frac{1}{9} }}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

Look just at finding the linear model. Two points. Use price per gallon for x and gallons per hour sold for y. Your two points (x,y) are (2.15,1600) and (2.55,800).

Slope m=%281600-800%29%2F%280.15-0.55%29

m=800%2F0.40

m=2000

Using point-slope form for a line, and the lower-y point,

y-800=2000%28x-2.55%29

highlight%28y=2000%28x-2.55%29%2B800%29

Answer:

Hi liddywiddy, sorry you had to wait so long

There are 20 teachers in all

Step-by-step explanation:

the ratio 3:2 is now 12:x

12 / 3 = 4

so the multiplier is 4

now:

4x2 = 8

Next we add them: 12+ 8 = 20

Answer:

20 teachers in all

Step-by-step explanation:

12 / 3 = 4,

4 * 2 = 8,

so 12 + 8 = 20

He made $1 944 in commission

Answer:

70 kilometers

Step-by-step explanation:

Set up a proportion where x is the actual distance

[tex]\frac{1}{20}[/tex] = [tex]\frac{3.5}{x}[/tex]

Cross multiply:

x = (20)(3.5)

x = 70

So, the actual distance is 70 km

Answer:

-3

Step-by-step explanation:

7(-3x-7y-56)

-21x-49y-392

-3(-7x+10y-1)

21x-30y+3

because the eq. multiplied by 7 is negative, the second eq mus be positive in order to eliminate the x variable. this is why we multiply by a (-). by multiplying the second eq by 3, both eq. will result in a coefficient of 21. one positive one negative allowing the x variable to be eliminated from the problem.

3x-x+2=4 is the answer <3