Answer:
Step-by-step explanation:
Given that there are two functions f and g as
We have to find the composition of functions.
Composition functions are calculated as the first function inside bracket and then the outside function of answer inside.
a)
b) 
c) ![fof = f(\sqrt{x} ) = \sqrt[4]{x}](https://tex.z-dn.net/?f=fof%20%3D%20f%28%5Csqrt%7Bx%7D%20%29%20%3D%20%5Csqrt%5B4%5D%7Bx%7D)
d) 
Answer:
x=8
Step-by-step explanation:
If the value of x varies directly as the value of y we can say they are directly proportional. This implies that when y increases x will increase too, and when y decreases x will also decrease.
If x=16 when y=3/4 we can write their relation as:
x/y = 16/(3/4) = 16*(4/3) = 64/3
So, for every value of y, the ratio x/y must maintain equal to 64/3 because both values are proportional.
Now we can see what happens to x when y varies. If y=3/8:
x/(3/8) = 64/3
Multiply both sides by 3/8 to eliminate the 3/8 in the denominator.
x/(3/8) * (3/8) = (64/3) * (3/8)
See that we have a 3 multiplying and another dividing, we can eliminate them.
x = 64/8
x = 8
So, if y decreases to 3/8 x will decrease to 8. Notice that y is decreasing in a half as 3/8 is the half of 3/4, and x is also decreasing in a half from 16 to 8, what makes sense.
Answer:
A. The balloon is at its initial height
B. The boxer is 0 pounds from her starter weight
C. The company's size is smaller
Step-by-step explanation:
For A, -30+30 is equal to 0 so its gonna be the same height it was before.
For B, Gaining 7 pounds and losing 7 pounds means you are neither bitter or smaller. (-7+7=0)
For C, Losing 15 employees and gaining none means that there are less than there were previous meaning the company is now smaller.
Hope this helps.
Answer:
the answer is 12
Step-by-step explanation:
Answer:
1).Sugar used in 7 days = 61.25 pounds
2). Total cost of 9 cupcakes = $38.25
Step-by-step explanation:
1). Alani uses 8.75 pounds of sugar each day.
So, sugar used in 7 days = Amount of sugar used in one day × Number of days
= 8.75 × 7
= 61.25 pounds
2). Since, each cupcake costs $4.25
Number of cakes ordered = 9
Total cost of 9 cupcakes = Cost of each cupcake × Number of cupcakes
= 4.25 × 9
= $38.25
