Equations y1 = x2 − 5x + 8 and y2=10/x intersect at a point. what is the closest value of x when y1 = y2? a. between 3 and 3.5 b. between 3 and 4 c. between 3.5 and 4 d. between 3.5 and 4.5

C.  between 3.5 and 4

Step-by-step explanation:

We are given

Since, we have to solve for x

so, firstly we will set them equal

we can multiply both sides by x

and we get

now, we can use graphing calculator

and find intersection point between y1 and y2

so, we can see that

x=3.538 lies between 3.5 and 4

so,

C.  between 3.5 and 4

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.

70 years.

step-by-step explanation: