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3 years ago

The homecoming dance is going to be held in the school gym which is 300 ft by 300 ft. The fire marshal requires 4

Mathematics

1 answer:

Monica [59]3 years ago

7 0

Find the area of the gym and divide that by the required space.

Area of gym: 300 x 300 = 90,000 square feet.

Number of people: 90,000 / 4 = 22,500

They can sell 22,500 tickets.

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What is the equation of the line that is parallel to y-3x=2 and that passes through (6,1)?

Artemon [7]

Try this solution (analytic method):

1. if new line is parallel to the given one (y=3x+2) it means the new line has a form y=3x+b, where b - number.

2. In order to calculate 'b', it need to substitute the coordinates of point (6;1) into the equation of the new line:

1=3*6+b, ⇒ b=-17.

3. If to make up the equation of the new line:

y=3x-17

Answer: A

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3 years ago

Given f(x)=5x+4, solve for x when f (x) = -6

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2 years ago

What is the answer for b?

olchik [2.2K]

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2 years ago

Read 2 more answers

The perimeter of a square is given as 8x+20. Write two different expressions for the perimeter. Use factoring to write one of th

sveticcg [70]

Answer:

P = 4(2x + 5)

P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)

Step-by-step explanation:

Given that:

Perimeter of square = 4 * s

Where s = side length

If perimeter, P = 8x + 20

Then,

4s = 8x + 20

Divide both sides by 4

4s / 4 = (8x + 20) / 4

s = 2x + 5

P = 4s

P = 4(2x + 5)

P = 2x + 5 in 4 places

P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)

8 0

2 years ago

Which function is a horizontal compression of its parent function f(x)=x^7 by a factor of 4

evablogger [386]

Answer:

$r(x)=(4x)^7$

Step-by-step explanation:

For a horizontal compression, we multiply whole numbers greater than 1 in front of $x$ of the given function.
For horizontal expansion, we multiply by the reciprocal of the number for horizontal compression, in front of $x$ of the function.

For example,

If we wanted to <u>horizontally compress</u> $y=x^2$ , we would multiply by 4 to get $y=(4x)^2$ , and

if we wante to <u>horizontally expand</u> $y=x^2$ , we would multiply by $\frac{1}{4}$ to get $y=(\frac{1}{4}x)^2$

Since this question asks for horizontal compression, we multiply the $x$ of the function by 4. So the function we need is $f(x)=(4x)^7$ . The second choice is correct.

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3 years ago