Given:
First, let us find two points from this equation.
We can set values of x and then solve for y.
Let us find the values of y when x = 1, 2, 3, 4, 5
We now have a set of points:
(1, 21)
(2, 16)
(3, 11)
(4, 6)
(5, 1)
Since the given plane is limited to values of 10 and -10, the points that we can plot are the points (4, 6) and (5, 1)
The graph would then look like this:
I would choose B
w*(5*4)
because this choice multiplies the pages times the days and then multiplies the week
As A Simplified Fraction She Only Has 1/4 Of Her Allowance Left
9514 1404 393
Answer:
Step-by-step explanation:
As with any function and its inverse, you can find the inverse of ...
by solving the equation x = f(y).
The answer is
w = 6 in
l = 16 in
h = 12 in
The volume of a rectangular prism with length l, width w, and height h is:
V = l * w * h
V = 1152 in³
After some internet research, I found out that:
l = 2w + 4
h = 18 - w
So,
V = l * w * h
1152 = (2w + 4) * w * (18 - w)
Multiply the first two factors:
1152 = (2w² + 4w) * (18 - w)
Multiply two remaining factors:
1152 = 36w² + 72w - 2 w³ - 4w²
Rearrange:
-2w³ + 36w² - 4w² + 72w = 1152
-2w³ + 32w² + 72w = 1152
-2w³ + 32w² + 72w - 1152 = 0
Divide all by 2:
-w³ + 16w² + 36w - 576 = 0
Multiply by (-1):
w³ - 16w² - 36w + 576 = 0
Rearrange:
(w³ - 36w) - (16w² - 576) = 0
Factor:
w * w² - w * 36 - (16 * w² - 16 * 36) = 0
w(w² - 36) - 16(w² - 36) = 0
(w - 16)(w² - 36) = 0
(w - 16)(w² - 6²) = 0
(w - 16)(w - 6)(w + 6) = 0
So, w - 16 = 0, or w - 6 = 0, or w + 6 = 0.
In other words: w = 16, or w = 6, or w = -6.
Width cannot be negative, so w ≠ -6.
If w = 16, then l = 2 * 16 + 4 = 32 + 4 = 36 and h = 18 - 16 = 2
But, since the height must be greater than the width (h > w), w ≠ 16
If w = 6, then l = 2 * 6 + 4 = 12 + 4 = 16 and h = 18 - 6 = 12.
Thus:
w = 6 in
l = 16 in
h = 12 in
