Answer:
Part one: The function rule for the area of the rectangle is A(x) = 3x² - 2x
Part two: The area of the rectangle is 8 feet² when its width is 2 feet
Step-by-step explanation:
Assume that the width of the rectangle is x
∵ The width of the rectangle = x feet
∵ The length of the rectangle is 2 ft less than three times its width
→ That means multiply the width by 3, then subtract 2 from the product
∴ The length of the rectangle = 3(x) - 2
∴ The length of the rectangle = (3x - 2) feet
∵ The area of the rectangle = length × width
∴ A(x) = (3x - 2) × x
→ Multiply each term in the bracket by x
∵ A(x) = x(3x) - x(2)
∴ A(x) = 3x² - 2x
∴ The function rule for the area of the rectangle is A(x) = 3x² - 2x
∵ The rectangle has a width of 2 ft
∵ The width = x
∴ x = 2
→ Substitute x by 2 in A(x)
∵ A(2) = 3(2)² - 2(2)
∴ A(2) = 3(4) - 4
∴ A(2) = 12 - 4
∴ A(2) = 8
∴ The area of the rectangle is 8 feet² when its width is 2 feet
The answer is:
The pineapples Mr. Lester sells are $2.40
Answer:
10 apples ( for numero uno)
Step-by-step explanation:
There are 5 bags of 4 apples, so that means there are 20 apples total. They are shared equally between two children, so it means that it is divided by 2, which is 10. So each child gets 10 apples.
Hope it helped!
Scale factor is equal to 1/2, since the point went from 10 to 5
Given:
The equation is:
To find:
The solution for the given equation to the nearest hundredth.
Solution:
We have,
Divide both sides by 3.
Taking ln on both sides, we get
![[\because \ln e^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ex%3Dx%5D)
Divide both sides by 2.4.
![[\because \ln (90)\approx 4.4998]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20%2890%29%5Capprox%204.4998%5D)
Round the value to the nearest hundredth (two decimal place)
Therefore, the value of K is 1.87.
