- f-¹(x) = 69/5y
- f-¹(x) = 13 + 4y/(y + 10)
<h3>How to determine the inverse </h3>
The steps involved in determining the inverse of a function are;
- Replace f(x) with y in the equation describing the function
- Interchange x and y
- Solve for y
- Replace y by f-1(x)
If f(x) = 4/5x + 13
y = 4/5y + 13
y = 4 + 65 /5y
f^-1 = 4 + 65 /5y
f^-1(x)= 69/5y
If f(x)= 3/x+10 + 4
y = 3/y + 10 + 4
y = 3 + 4y + 10/(y + 10)
y = 13 + 4y/(y + 10)
f^-1(x) = 13 + 4y/(y + 10)
Thus, the inverse of the functions is 69/5y and 13 + 4y/(y + 10)
Learn more about functions here:
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Brenda has to take out the trash more than 4 times to have more than $50.
Step-by-step explanation:
Given,
Amount Brenda already have = $30
Amount she gets each time for throwing trash = $5
Amount she wants to have = More than $50
Let,
x be the number of times she throws trash.
Amount for throwing trash * Number of times trash thrown + Amount already have > Amount she wants to have
Dividing both sides by 5
Brenda has to take out the trash more than 4 times to have more than $50.
Keywords: variable, inequality
Learn more about variables at:
#LearnwithBrainly
Answer:
The answer is "lengths of opposite sides are equal
"
Step-by-step explanation:
The parallelogram is a four-sided one in parallel opposites and therefore opposite angles equal. Each quadrilateral is called a rhombus with equal sides, as well as a parallelogram that also has correct angles is recognized as a rectangle. Its flat form with 4 smooth edges is parallel on the other side, so that when the opposite sides were equal in length. That's why ABCD is also a parallelogram because the two sides are parallel.
I think it will take it 8 days bcuz 4x8=32 it climbs 5 slides down 1 which is 4
I hope that helped u
Answer:
D) Kaia saved $165.45 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60.
Step-by-step explanation:
Given in the attached diagram shows a model of a discount given on a purchase of guitar showing 75% of the price of guitar ($55.15 + $55.15 + $55.15) that was given.
It also tells that the price pays is 25% of the price of the guitar before the discount. I.e. 25% of %220.60 = 0.25 × 220.60 = $55.15.
From the diagram given, we can infer that Kaia bought the guitar at $55.15 while saving $165.45. That is 25% of the original price. And the amount saved, $165.45, is %75 of the original price ($55.15+$55.15+$55.15).
The answer is D.
