The left hand and the right hand sums are shown here. which could be the actual area under the curve for that interval?

C_ 3.67

Step-by-step explanation:

The right-sum and left-sum are kinda opposite to each other when it comes to estimating the area value of the actual curve. As in...

If the right-sum is over estimating, then the left-sum must be underestimating.

If the left-sum is over estimating, then the right-sum must be underestimating.

So our actual value must lie somewhere between the value calculated by the right-hand-sum and the left-hand-sum

The question gave left-sum being 3.65 and right-sum being 3.683, so our value must lie between two two numbers. The only answer choice that is between 3.65 and 3.683 is 3.67.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

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.