A = L * H
A = 65
L = 2H - 3
65 = H(2H - 3)
65 = 2H^2 - 3H
-2H^2 + 3H + 65 = 0
(-Hh + 13)(H + 5) = 0
-2H + 13 = 0
-2H = -13
H = -13/-2
H = 6.5 <== height is 6.5 inches
H + 5 = 0
H = -5....this wont work because it is negative
L = 2H - 3
L = 2(6.5) - 3
L = 13 - 3
L = 10 <== length is 10 inches
There are several information's that are already given in the question. Based on those information's the answer to the question can be easily deduced.
Weight of 4 gallons of gasoline = 25 pounds
Then
Weight of 1 gallon of gasoline = 25/4 pounds
= 6.25 pounds
From the above deduction, we can easily conclude that the unit rate in pounds per gallon of gasoline is 6.25 pounds/gallon. I hope the answer helps you.
Is there a list of answers ?
Answer:
It's B.
Step-by-step explanation:
Z=-3, z=6
Answer:
- f(x + 5) = |x + 5|, represents the requested change of 5 units to the left,
- f(x) - 4 = |x| - 4, represents the requested change of 4 units down.
Step-by-step explanation:
The following rules will permit you to predict the equation of a new function after applying changes, especifically translations, that shift the graph of the parent function in the vertical direction (upward or downward) and in the horizontal direction (left or right).
- <u>Horizontal shifts:</u>
Let the parent function be f(x) and k a positive parameter, then f (x + k) represents a horizontal shift of k units to the left, and f (x - k) represents a horizontal shift k units to the right.
Let, again, the parent function be f(x) and, now, h a positive parameter, then f(x) + h represents a vertical shift of h units to upward, and f(x - h) represents a vertical shift of h units downward.
- <u>Combining the two previous rules</u>, you get that f (x + k) + h, represents a vertical shift h units upward if h is positive (h units downward if h is negative), and a horizontal shift k units to the left if k is positive (k units to the right if k negative)
Hence, since the parent function is f(x) = |x|
- f(x + 5) = |x + 5|, represents the requested change of 5 units to the left,
- f(x) - 4 = |x| - 4, represents the requested change of 4 units down.
Furthermore:
- f(x + 5) - 4 = |x + 5| - 4, represents a combined shift 5 units to the left and 4 units down.
