Answer:
Step-by-step explanation:
Let w represent the width of the rectangle.
The length of a rectangle is 7 inches less than twice the width, w, of the rectangle. It means that the length is (2w - 7) inches
Part A
The function that gives the area as a function of the width is
A(w) = w(2w - 7)
Part B:
If the area of the rectangle is 60 square inches, it means that
w(2w - 7) = 60
2w² - 7w = 60
2w² - 7w - 60 = 0
2w² + 8w - 15w - 60 = 0
2w(w + 4) - 15(w + 4) = 0
2w - 15 = 0 or w + 4 = 0
w = 15/2 or w = - 4
Since w cannot be negative, then
w = 15/2 = 7.5 inches
Answer:
K = 9
Step-by-step explanation:
K/3 -2 =1
+2 +2.
K/3 = 3
*3 *3
K = 9
1/4 x 4/7
do the top numbers first. 1 x 4 is 4do bottom numbers next 4 x 7 is 28
that leaves you with 4/28. But you have to reduce.
4/28 = 2/14 = 1/7 (notice I just cut both the top and bottom numbers in half each time I reduced until I couldn't reduce any more).
So, final answer is 1/7
