Answer:
g(x) is shifted 3 units to the left and reflected over the x-axis.
Step-by-step explanation:
Let X = science homework.
Then math homework would be 3x ( three times as long).
Now you have math plus science = 64 minutes:
x + 3x = 64
Combine like terms:
4x = 64
Divide both sides by 4:
x = 64 / 4
x = 16
He spent 16 minutes on science and 48 minutes on math.
...more information is clearly needed
Length (L): w + 3 ⇒2(w + 3)
width (w): w ⇒ w - 1
Area (A) = L x w
A = (w + 3)(w)
A = w² + 3w
*******************************************
A + 176 = 2(w + 3)(w - 1)
(w² + 3w) + 176 = 2(w + 3)(w - 1)
w² + 3w + 176 = 2w² + 4w - 6
3w + 176 = w² + 4w - 6
176 = w² + w - 6
0 = w² + w - 182
0 = (w - 13) (w + 14)
0 = w - 13 0 = w + 14
w = 13 w = -14
Since width cannot be negative, disregard -14
w = 13
Length (L): w + 3 = (13) + 3 = 16
Answer: width = 13 in, length = 16 in
Answer:
$51.30
Step-by-step explanation:
First, we find 25% of the original price, then we deduct that from the original price. Then, we find 10% of the price and deduct that also.
The original price is $76.
25% of $76 is:
= $19
We deduct $19 from $76:
76 - 19 = $57
We find 10% of $57:
= $5.7
Deducting this:
57 - 5.7 = $51.30
She will pay $51.30 for the jacket.