Answer:
Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.
h(x) = f(x) + g(x)h(x)=f(x)+g(x) h(x) = f(x) - g(x)h(x)=f(x)−g(x)
h(x) = \frac{f(x)}{g(x)}h(x)=
g(x)
f(x)
h(x) = f(g(x))h(x)=f(g(x))
And many more.
The approach or formula to use depends on the question.
In this case, the combined function is:
f(x) = 75+ 10xf(x)=75+10x
The savings function is given as
s(x) = 85s(x)=85
The allowance function is given as:
a(x) = 10(x - 1)a(x)=10(x−1)
The new function that combined his savings and his allowances is calculated as:
f(x) = s(x) + a(x)f(x)=s(x)+a(x)
Substitute values for s(x) and a(x)
f(x) = 85 + 10(x - 1)f(x)=85+10(x−1)
Open bracket
f(x) = 85 + 10x - 10f(x)=85+10x−10
Collect like terms
mark as brainiest
f(x) = 85 - 10+ 10xf(x)=85−10+10x
f(x) = 75+ 10xf(x)=75+10x
Answer:
8. m=6
9. x=2; Alyssa is incorrect because she subtracted 8 from 16 when in reality she should have divided 16 by 8 to get 2. The real solution is 2 because 8 times 2 is equal to 16.
Step-by-step explanation:
Question 8:
2m-6=m
-2m -2m (subtract 2m from both sides)
<u>-6</u>=<u>-m</u>
- - (divide both sides by the negative)
m=6
Question 9:
<u>8x</u>=<u>16 </u> (divide both sides of the equation by 8)
8 8
x=2
The diameter is twice as big as the radius
Answer:
The inequality representing s, the number of sets of forks Nathan should buy is
s ≥ 21
Step-by-step explanation:
From the question, the restaurant needs at least 571 forks, i.e., if n represents the number of forks the restaurant needs, then
n ≥ 571
Also from the question, there are currently 361 forks. If y represents the number of forks the restaurant needs to buy, then
y ≥ 571 - 361
y ≥ 210
Also, each set on sale contains 10 forks. if s represents the number of sets of forks Nathan should buy, then
s ≥ 210/10
s ≥ 21
Hence, the inequality representing s, the number of sets of forks Nathan should buy is
s ≥ 21
Answer:
Mean of sampling distribution = 25 inches
Standard deviation of sampling distribution = 4 inches
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 25 inches
Standard Deviation, σ = 12 inches
Sample size, n = 9
We are given that the distribution of length of the widgets is a bell shaped distribution that is a normal distribution.
a) Mean of the sampling distribution
The best approximator for the mean of the sampling distribution is the population mean itself.
Thus, we can write:
b) Standard deviation of the sampling distribution
