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sergeinik [125]
2 years ago
14

Need help on this math problem​

Mathematics
1 answer:
erik [133]2 years ago
7 0

Answer:

-5, 18, \sqrt{13}

Step-by-step explanation:

We can solve the first equation, f of -3. The value of the function f is \frac{1+x^2}{x+1}, and plugging in -3 gets us \frac{1+9}{1-3}, this results in 10 divided by negative 2, which is negative 5.

Now, we must solve g of negative one third. The function g is defined as |9x-15|. Plugging in negative one third into the question gets us |9(-\frac{1}{3})-15|

9 times negative one third is -3, and -3 minus 15 is -18. The absolute value of -18 is 18.

Now, we must solve h of negative 2, and h is defined as \sqrt{-3-8x}. Plugging in negative 2, we have \sqrt{-3-8(-2)}. Negative 8 times negative 2 is positive 16, and 16 minus 3 is 13. The answer is the square root of 13

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Answer:

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Step-by-step explanation:

7 0
3 years ago
A school wishes to enclose its rectangular playground using 480 meters of fencing.
Harlamova29_29 [7]

Answer:

Part a) A(x)=(-x^2+240x)\ m^2

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

P=2(L+W)

we have

P=480\ m\\L=x\ m

substitute

480=2(x+W)

solve for W

240=x+W\\W=(240-x)\ m

<u><em>Find the area of the rectangular playground</em></u>

The area is given by

A=LW

we have

L=x\ m\\W=(240-x)\ m

substitute

A=x(240-x)\\A=-x^2+240x

Convert to function notation

A(x)=(-x^2+240x)\ m^2

Part b) What side length x gives the maximum area that the playground can have?

we have

A(x)=-x^2+240x

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

A(x)=-x^2+240x

Factor -1

A(x)=-(x^2-240x)

Complete the square

A(x)=-(x^2-240x+120^2)+120^2

A(x)=-(x^2-240x+14,400)+14,400

A(x)=-(x-120)^2+14,400

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

x=120\ m

W=(240-120)=120\ m

The playground is a square

A=120^2=14,400\ m^2

8 0
3 years ago
If a pair of jeans cost 45 dollars before the sale and the sale is taking 9 dollars off of the original price what was the perce
Dvinal [7]

Answer:

20%

Step-by-step explanation:

A pair of jeans cost $45  before the sale.

The sale is taking $9 off of the original price.

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Write a proportion:

\dfrac{45}{9}=\dfrac{100}{x}

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3 0
3 years ago
Can someone please help me? thanks!
iragen [17]
The small rectangle was blown up by 5 times to turn into the bigger rectangle to put x5 in the box =)
8 0
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What are the 3 different forms of a quadratic function and what do the variables in each represent?
Likurg_2 [28]

Answer:

general, factored, and vertex form.

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Step-by-step explanation:

8 0
3 years ago
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