Answer:
h(x) = x/2 - 1/2
Step-by-step explanation:
Here's the procedure for finding the inverse function algebraically:
1. Replace the label 'f(x)' with the label 'y:' y = 2x + 1
2. Interchange x and y: x = 2y + 1
3. Solve the resulting equation for y: 2y = x - 1, or y = (1/2)(x - 1) or y = x/2 - 1/2
This result corresponds to the 1st given possible answer choice.
The desired inverse function is h(x) = x/2 - 1/2
Using proportions, it is found that 7% of the population has blue eyes without blonde hair.
10% of the population has blue eyes. These 10% are composed by:
- 75% of 4%(have blonde hair).
- x% of 96%(do not have blonde hair)
Hence, the relation according to the proportion of 10% is:
Out of the entire population:
0.0729(0.96) = 0.07
7% of the population has blue eyes without blonde hair.
You can learn more about proportions at brainly.com/question/24372153
Answer:
Volume of water in vase: 747in^3
Area of the base of the vase:
(pi)(r)^2= (pi)(6)^2 = 113in^2 (approx)
Volume of the marbles:
4/3 (pi)(r)^3 = 4/3(pi)(3)^3 = 85 (approx)
85*7= 609in^3
Volume of the water in vase:
113*12 = 1356
1356-609 = 747in^3
Answer:
17
Step-by-step explanation:
y-6=11
+6. +6
_________
y = 17
since we are looking at minutes per mile
45 min/8 miles = 5.625 minutes per mile