What are the roots of the equation?

-8 and -3

Step-by-step explanation:

Add 11x to both sides;

x + 3 = 0

Subtract 3 from both sides;

x = -3

x + 8 = 0

Subtract 8 from both sides;

x = -8

Option B ( -8 and -3 )

Step-by-step explanation:

Rewrite the equation as follows:

Now we can use two methods either the quadratic formula or the factorization method.

Lets use the factorization method.

We need two number when multiplied gives us +24 and when added up give us +11 .

Now we know 12 and 2 when multiplied give us 24 but when added give us 14 so we cant use these two numbers.

But we know 8 and 3 when multiplied give us 24 and when added give us 11 so we can use them , so rewrite the equation like,

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

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,

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

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

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,

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

1 sq ft = 0.111 sq yard

so, 180 square feet is,

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,

so, it will cost $300.