3 years ago

1. The playground at a park is shaped like a trapezoid. The dimensions of the playground are

Mathematics

1 answer:

slavikrds [6]3 years ago

7 0

860 ft that’s the answer

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The profits in hundreds of dollars, P(c), that a company can make from a product is modeled by a function of the price, c, they

Jobisdone [24]

The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.

$P(c)=-20c^2+320c+5120 \\ \\
a=-20 \\
b=320 \\ \\
\hbox{the vertex } (h,k): \\
h=\frac{-b}{2a}=\frac{-320}{2 \times (-20)}=\frac{-320}{-40}=8 \\
k=f(h)=f(8)=-20 \times 8^2+320 \times 8+5120= \\
=-1280+2560+5120=6400$

The maximum value is 6400, but the profit is given in hundreds of dollars, so multiply the value by 100.

The maximum profit the company can make is $640,000.

4 0

3 years ago

Read 2 more answers

If y = x² - 6x + 11 is written in the form y = a ( x - h )² + k, find the value of ( a + h + k).

Crazy boy [7]

Answer:

Step-by-step explanation:

y = x² - 6x + 11

Complete the square.

y = x² - 6x + 9 + 2

y = (x - 3)² + 2

a = 1, h = 3, k = 2