Assume that f(5)=8. So, (5, 8) is a point in the graph of f.
For g(x) to give us 8, we need x to be 12, because in that case we would have:
g(12)=f(12-7)=f(5), which is 8. Thus, (12, 8) is a point on the graph of g.
Comparing (5, 8) in f, and (12, 8) in g, we can see that the graph of g is the graph of f shifted 7 units to the right.
Answer: <span>C) The graph of g(x) is the graph of f(x) translated 7 units right.</span>
Answer: the value of the car after 7 years is $11220
Step-by-step explanation:
The formula for determining depreciation is expressed as
A = P(1 - r)^t
Where
A represents the final value of the car after t years.
P represents the present value of the car.
r represents the rate of depreciation
t represents the number of years.
From the information given
P = 35000
r = 15% = 15/100 = 0.15
t = 7 years
Therefore,
A = 35000(1 - 0.15)^7
A = 35000(0.85)^7
A = 11220.198
Rounding up yo the nearest dollar, it becomes $11220
Prime numbers are numbers that only have a factor of one and its self.
Answer: the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830
Step-by-step explanation:
Given that;
p = 10% = 0.1
so let q = 1 - p = 1 - 0.1 = 0.9
n = 818
μ = np = 818 × 0.1 = 81.8
α = √(npq) = √( 818 × 0.1 × 0.9 ) = √73.62 = 8.58
Now to find P( x < 100)
we say;
Z = (X-μ / α) = ((100-81.8) / 8.58) = 18.2 / 8.58 = 2.12
P(x<100) = P(z < 2.12)
from z-score table
P(z < 2.12) = 0.9830
Therefore the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830
