MATH SOLVE

5 months ago

Q:
# The current area of the city park is represented by the expression 11x2 + 4x + 6. The city will expand the park this summer by a factor of 5x − 3. If one-fourth of the new park is to be wooded, which expression represents the new area of the park that is not wooded?

Accepted Solution

A:

we have that

the current area of the city park is represented by--------> [11x² + 4x + 6]

the new area of the city park is represented by----- >[11x² + 4x + 6]*[5x-3]

[11x² + 4x + 6]*[5x-3]-------> [55x³+20x²+30x-33x²-12x-18]

[55x³+20x²+30x-33x²-12x-18]=[55x³-13x²+30x+18x-18]

the new area of the city park is represented by---->[55x³-13x²+30x+18x-18]

we know that

if (1/4) of the new park is to be wooded

then

(3/4) of the new park is not wooded

therefore

the area of the new park that

is not wooded is represented by--> (3/4)*[55x³-13x²+30x+18x-18]

[41.25x³-9.75x²+22.5x+13.5]

the answer is [41.25x³-9.75x²+22.5x+13.5]

the current area of the city park is represented by--------> [11x² + 4x + 6]

the new area of the city park is represented by----- >[11x² + 4x + 6]*[5x-3]

[11x² + 4x + 6]*[5x-3]-------> [55x³+20x²+30x-33x²-12x-18]

[55x³+20x²+30x-33x²-12x-18]=[55x³-13x²+30x+18x-18]

the new area of the city park is represented by---->[55x³-13x²+30x+18x-18]

we know that

if (1/4) of the new park is to be wooded

then

(3/4) of the new park is not wooded

therefore

the area of the new park that

is not wooded is represented by--> (3/4)*[55x³-13x²+30x+18x-18]

[41.25x³-9.75x²+22.5x+13.5]

the answer is [41.25x³-9.75x²+22.5x+13.5]