All of our equations are in slope-intercept form. Slope-intercept form is y=mx+b. m stands for the slope, and b stands for the y-intercept. Our y-intercept is 3. Therefore, we can eliminate the equations that say the y-intercept isn’t b. Next, we can find the slope. We have the points (0, 3) and (3, 2). The formula for slope is y2-y1/x2-x1. 2-3 is -1, 3-0 is 3. Our slope is -1/3. After eliminating those without the y-intercept, we have A or D. We know that the slope is -1/3, so the answer must be D.
P = 2(L + W)
P = 60
L = 2W - 3
60 = 2(2W - 3 + W)
60 = 2(3W - 3)
60 = 6W - 6
60 + 6 = 6W
66 = 6W
66/6 = W
11 = W <=== the width is 11 ft
L = 2W - 3
L = 2(11) - 3
L = 22 - 3
L = 19 <=== the length is 19 ft
Answer:
B. 294 divided by 21 = 14. she paid 14 for each t shirt
I think 32 is the answer there
Answer:
- f(x) = x^3
- g(x) = (2x+4)^2
Step-by-step explanation:
There are many ways to decompose h(x) into f(x) and g(x). The main purpose of the exercise seems to be to get you to think about the operations that are performed on x, then divide that list of operations into two parts.
In the function ...
h(x) = (2x +4)^6
the variable x is ...
- multiplied by 2
- 4 is added to the sum
- the sum is raised to the 6th power
Of course, the 6th power can be considered as the cube of a square or the square of a cube, if you like.
In the decomposition shown in the answer above, we have chosen to put most of this list in g(x), including the square of the sum. Then we have made f(x) be the cube of that square.
h(x) = f(g(x)) = (2x+4)^6
When f(x) = x^3, this is ...
h(x) = f(g(x)) = g(x)^3 = ((2x+4)^2)^3
so ...
g(x) = (2x+4)^2 . . . and . . . f(x) = x^3
_____
Other possible decompositions are ...
or
- g(x) = (x+2)
- f(x) = (2x)^6
or
or ... (many others)
