Mathematics, 05.10.2019 17:30 iva60

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Question 75:
Simplify
-4x(3x^2-2x+1)

-12x^3+8x^2-4x

Question 76:
(2x-6)(x+1)

2x^2-6x+2x-6=2x^2-4x-6

Question 77:
8x^4+2x^3-4x^2

GCF (Greatest Common Factor)
2x^2(4x^2+x-2)
GCF=2x^2

Question 78:
25x^8+15x^5

5x^5(5x^3+3)

Question 79:
(x-4)(x+2)

x^2-2x-8

Question 80:
2x^2+7x+6
Factors: (2x+3)

(2x+3)(x+2)
Other Factor:
(x+2)

Question 81:
(2x-1)^2

4x^2-4x+1

Question 82:
4x^2-25

(2x-5)(2x+5)

Question 83:
x^3+27

(x+3)(x^2-3x+9)

Question 84:
x^3-125

(x-5)(x^2+5x+25)

Question 85:
x^2=121
x=square root of 121

x=11, -11

Question 86:
(x+3)(x+7)=0

x=-3,-7

Question 87:
x^2-16=0
(x-4)(x+4)=0

x=-4,4

Question 88:
x^2-3x-40=0
(x-8)(x+5)=0

x=8,-5

Question 89:
x^2+3x+?

x^2+3x+9/4
(x+3/2)(x+3/2)
9/4

Question 90:
x^2+5x=-1
x^2+5x+25/4=-1-25/4
(x+5/2)^2=the square root of -29/4
x+5/2=(square root of -29)/2

x=(-5+ or - the square root of -29)/2

Question 91:
x^2+2x+c=0
1 real solution

c=1

Question 92:
Use quadratic formula.
2x^2-4x+1=0
x=-b+ or - (the square root of b^2-4ac)/2a
x=4+ or - (the square root of 16-8)/4
x=4+ or - (the square root of 8)/4
x=+ or - 2 rad 2

Question 93:
y=2x^2

y=1/2x^2

When the factor of x decreases, the graph widens.

Ur Welcome

Answer from: Quest

10 miles

step-by-step explanation:

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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