Answer:
Similar - Yes
Similarity Statement - cdef ~ qrst
Scale factor - 3/4
Step-by-step explanation:
Hope this helps :)
Answer:
7 > y ≥ 3
Step-by-step explanation:
Answer:
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- <u>1. As a fraction: 9/50</u>
- <u>2. As a proportion: x/1 = 9/50</u>
- <u>3. As a percentage: 18%</u>
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Explanation:
<u>1. As a fraction:</u>
Depart from the definition of probability: probability is the number of favoragle outcomes divided by the total number of possible outcomes:
- Probability = number of movie-goers who say they watched a movie on Netflix this week / number of movie-goers that saw a movie this week
<u>2. As a proportion:</u>
A proportion is the equality of two ratios. In this case you must set the ratio of people who say they watched it on Netflx, x, per every people who saw a movie this week, 1, equal to the ration 9 /50.
Hence, the proportion that shows the probability is:
Where x is the probability.
<u>3. As a percentage</u>
You just have to multiply the probability by 100:
f(x)=x3−5
Replace f(x)
with y
.
y=x3−5
Interchange the variables.
x=y3−5
Solve for y
.
Since y
is on the right side of the equation, switch the sides so it is on the left side of the equation.
y3−5=x
Add 5
to both sides of the equation.
y3=5+x
Take the cube root of both sides of the equation to eliminate the exponent on the left side.
y=3√5+x
Solve for y
and replace with f−1(x)
.
Replace the y
with f−1(x)
to show the final answer.
f−1(x)=3√5+x
Set up the composite result function.
f(g(x))
Evaluate f(g(x))
by substituting in the value of g into f
.
(3√5+x)3−5
Simplify each term.
Remove parentheses around 3√5+x
.
f(3√5+x)=3√5+x3−5
Rewrite 3√5+x3
as 5+x
.
f(3√5+x)=5+x−5
Simplify by subtracting numbers.
.
Subtract 5
from 5
.
f(3√5+x)=x+0
Add x
and 0
.
f(3√5+x)=x
Since f(g(x))=x
, f−1(x)=3√5+x is the inverse of f(x)=x3−5
.
f−1(x)=3√5+x
