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Mathematics, 18.03.2021 22:50 Ronatalawrence828

ANSWER BOTH QUESTONS


ANSWER BOTH QUESTONS

Answers

ansver
Answer from: cbaillie8462

id=679286357

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Step-by-step explanation:

ansver
Answer from: Quest

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

ansver
Answer from: Quest

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

a=9\times 12=108\text {ft^2}

so the area of the floor is 108 square feet, converting that into square yards we get,

108 \times 0.1111= 12 \text{yd^2}

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

\$15 \times 12=\$180

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

a = 12 \times 15=180\text {ft}^2

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

180 \times 0.111=20 \text {yd}^2

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

\$15 \times 20= \$300

so, it will cost $300.

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