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3 years ago

How do you solve this?

Mathematics

1 answer:

Ronch [10]3 years ago

7 0

Answer:

The highest possible value of b would be 750.

Step-by-step explanation:

If you graph the two equations, you'll get two crossing lines, and because y is supposed to be either equal to or less, the answer is going to be at the shaded area at the bottom.

Equate the two equations to solve them with algebra.

-15x+3000=5x

add 15x to both sides

3000=20x

divide by twenty, you get

150=x

Plug that in to both equations, you'll get y=750, which is the highest possible value of b, (aka y cuz it's on the y axis).

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Answer:

25. $27a^{3}b^{2}$

26. $3\pi x^{3}y$

Step-by-step explanation:

For 25:

$A = \frac{a+b}{2} h$ (area of a trapezoid)

$A=\frac{11a^{2}b+7a^{2}b}{2} *3ab$ (substitute terms)

$= \frac{18a^{2}b}{2}*3ab$ (collect like terms)

$= 9a^{2}b*3ab$ (reduce the fraction by crossing out 2)

$= 27a^{3}b^{2}$ (calculate)

For 26:

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$A=\pi (3x^{3} y)^{2}$ (enter the radius)

$= 3\pi x^{3} y$ (communtative property to reorder the terms)

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