Answer:
63 cm^2
Step-by-step explanation:
p = l + w + l + w
32 = 2l + 2w
32 = 2(w + 2) + 2w
32 = 2w + 4 + 2w
32 = 4w + 4
28 = 4w
7 = w
l = w + 2
l = 7 + 2
l = 9
Check your work:
32 = 9 + 7 + 9 + 7
32 = 32
Correct
A = l × w
A = 9 × 7
A = 63
The first two are 6 and 28. The factors of 6 add up to the same thing as 6.
Six
1 * 2 * 3 = 6
1 + 2 + 3 = 6
Twenty eight
1 + 2 + 4 + 7 + 14 = 28 (the multiplication is not the same as for 6).
Four hundred ninety Six
This one is kind of hard to believe
It is 16 * 31
1 + 2 + 4 + 8 + 16 + 248 + 124 + 62 + 31 = 496
Answer:
this is your answer. thanks!!
To answer "which function has the smallest minimum," we'll first find the minimum of each one separately.
[1] f(x) = -3 sin(x - pi) + 2. No matter how crazy the inside of a sin function looks, the value of sin itself is always between 1 and -1. So, the minimum value for f(x) is -3*1 + 2 = -1.
[2] g(x). By looking at the table, we see that the minimum value is -1, which occurs when x = 3.
[3] h(x) = (x+7)^2 - 1. Notice that (x+7) is being squared, so the smallest that piece could be is 0 (you can never get a negative number out of (x+7)^2...). So, the minimum value of h(x) is 0 - 1 = -1.
At the end of the day, all three functions have the same minimum value! This can be confirmed on a graph. So, "which function has the smallest minimum value?" all of them!
