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3 years ago

Please help me solve this question and explain it step by step, I need to understand it for future questions like this.

Mathematics

1 answer:

adoni [48]3 years ago

8 0

Answer:

F. 20(3a-10)^2

Please give me brainliest

Step-by-step explanation:

180a^2-1200a+2000

Start by looking for a common factor: In this case, it's 20

From here, divide 20 from every number

180a^2/20= 9a^2

1200a/20= 60a

2000/20= 100

You end up with:

20(9a^2-60a+100)

But you can still simplify (9a^2-60a+100)

(9a^2-60a+100) simplifies to (3a-10)^2

So the answer is:

20(3a-10)^2

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A movie theater has been charging $10.00 per person and selling about 500 tickets on a typical weeknight. After surveying their

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Answer:

$p(x) = -0.01x + 15$

Step-by-step explanation:

Given

Let x represent the number of tickets, and p the charges

$(x_1,p_1) = (500,10)$

A reduction of 50c gives an increment of 50 tickets.

This gives:

$(x_2,p_2) = (500+50,10-0,5)$ ---- $50c = \$0.5$

$(x_2,p_2) = (550,9.5)$

Required

Determine the demand function

First, calculate the slope:

$m = \frac{p_2 - p_1}{x_2 - x_1}$

$m = \frac{9.5 - 10}{550-500}$

$m = \frac{-0.5}{50}$

$m = -0.01$

So, the equation is:

$p = m(x - x_1) + y_1$

$p = -0.01(x - 500) +10$

$p = -0.01x + 5 +10$

$p = -0.01x + 15$

Hence, the function is:

$p(x) = -0.01x + 15$

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3 years ago

You are purchasing a car for $12,465.00 plus 5.65% sales tax. You make a $1,300.00 down payment and have a fair credit score. If

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Step-by-step explanation:

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3 years ago

Carmen has 240 action figures she wants to display in 4 bookcases. Each bookcase has 5 shelves, and each shelf gets the same num

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Answer:

60 books in one bookcase

12 books in one shelf

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Step-by-step explanation:

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3 years ago

If I add 9 to my number, I get 6. What is my number?

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3 years ago

A circle has an equation (x+2)2+(y−5)2=64. What is 34 of its area.

skad [1K]

Answer:

3/4 of the area of the circle is of $48\pi$ squared units.

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

In which the center is $(x_0,y_0)$ and r is the radius.

Area of a circle:

The area of a circle of radius r is given by:

$A = \pi r^2$

Circle (x+2)² + (y-5)² = 64

Comparing with the standard equation, we have that:

$r^2 = 64$

Area of the circle:

$A = \pi r^2 = 64\pi$

What is 3/4 of its area?

$\frac{3A}{4} = \frac{3*64\pi}{4} = 3*16\pi = 48\pi$

3/4 of the area of the circle is of $48\pi$ squared units.

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3 years ago