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3 years ago

Given the quadratic function

Mathematics

1 answer:

hjlf3 years ago

5 0

The vertex is (-4,-3)

The axis of symmetry is x=-4

and the transformations are:

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a play court on the school playground is shaped like a square joined by a semicircle.the perimeter around the entire play court

Drupady [299]

Answer:

Step-by-step explanation:

Perimeter of square = 182.8 ft

Perimeter of semicircle = 62.8 ft

Let teh side of the square is a and the radius of semi circle is r.

Perimeter of square = 4a

4a = 182.8

a = 45.7 ft

perimeter of semicircle = π r

π r = 62.8

r = 20 ft

Area of square part = a² = 45.7 x 45.7 = 2088.5 ft²

Area of semicircle = πr²/2 = 3.14 x 20 x 20 /2 = 628 ft²

Total area of the play court = 2088.5 + 628 = 2716.5 ft²

4 0

3 years ago

4x+2y=10 <br> X-y=13 <br> Write in (x,y)

Bad White [126]

Answer:

(x = 6, y = -7)

Step-by-step explanation:

Solve the following system:

{4 x + 2 y = 10 | (equation 1)

x - y = 13 | (equation 2)

Subtract 1/4 × (equation 1) from equation 2:

{4 x + 2 y = 10 | (equation 1)

0 x - (3 y)/2 = 21/2 | (equation 2)

Divide equation 1 by 2:

{2 x + y = 5 | (equation 1)

0 x - (3 y)/2 = 21/2 | (equation 2)

Multiply equation 2 by 2/3:

{2 x + y = 5 | (equation 1)

0 x - y = 7 | (equation 2)

Multiply equation 2 by -1:

{2 x + y = 5 | (equation 1)

0 x+y = -7 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 12 | (equation 1)

0 x+y = -7 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 6 | (equation 1)

0 x+y = -7 | (equation 2)

Collect results:

Answer: {x = 6 , y = -7

5 0

3 years ago

Rosey knows that she needs a minimum of $1776 each month to pay all of her expenses. If she works 37 hours a week, with 4 weeks

solong [7]

Answer: $12 an hour

Step-by-step explanation:

Rosey works 37 hours a week and 4 weeks in a month.

Total hours are:

= 37 * 4

= 148 hours

In order to at least cover the $1,776 in expenses she incurs every month, Rosey's hourly pay must be:

= expenses / working hours in month

= 1,776 / 148

= $12 an hour

8 0

3 years ago

The graph of the sequence would have <br> (check image)

DanielleElmas [232]

<h3>Answer: D) common ratio</h3>

Explanation:

The four points on this curve are

(1, 3) , (2, 6), (3, 12) , (4, 24)

The equation of the curve that goes through all the points mentioned is

y = 3*2^(x-1) which is equivalent to y = 1.5*2^x

Both equations are exponential equations.

Sequences of the form

a(n) = a*(r)^(n-1)

are geometric sequences with common ratio r. In this case, r = 2.

Note how the jump from 3 to 6 is "times 2", so is from 6 to 12, and from 12 to 24. We multiply each term by 2 to get the next one.

7 0

3 years ago

Helpppppppp plssssssss!

tester [92]

Answer:Taco Bell

Step-by-step explanation:

It’s always right g

5 0

3 years ago