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Nitella [24]
2 years ago
6

What is the inverse of the function f(x) = 2x + 1?

Mathematics
1 answer:
mamaluj [8]2 years ago
6 0

Answer: y=(x-1)/2

Step-by-step explanation:

To find the inverse, you want to switch the y with x and x with y. Then, you solve.

y=2x+1                 [switch y with x and x with y]

x=2y+1                 [subtract both sides by 1]

x-1=2y                  [divide both sides by 2]

(x-1)/2=y

Now, we know that y=(x-1)/2 is the inverse.

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A shipping company is loading cube shaped crates into a larger cube shaped container the smaller cubes have side lengths 21/2 fe
zheka24 [161]

Answer:

64 crates

Step-by-step explanation:

Smaller Cube Side Length = 2 1/2 feet, or, 2.5 feet

Larger Container (Cube) Side Length = 10 feet

We find volume of larger container and find volume of small crates. We divide the large volume by volume of each crate. This will give us number of crates we can fit.

Volume of Cube = x^3

Where x is the side length of the cube

Now,

Small Crate Volume = (2.5)^3 = 15.625 cubic feet

Large Container Volume = 10^3 = 1000 cubic feet

Number of crates that would fit = 1000/15.625 = 64

So, 64 crates will fit in the largest shipping container

7 0
3 years ago
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frez [133]
60 is the answer I hope this is right
7 0
2 years ago
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aliina [53]
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7 0
3 years ago
Olga has $40 in her wallet. She has one more $5 bill than $10 bills, and two more $1 bills than $5 bills. If Olga has only three
Scrat [10]

Answer:

Number of $10 bills = 2

Number of $5 bills = 3

Number of $1 bills  = 5

Step-by-step explanation:

Given:

Total amount = $40

Number of $10 bills = x

Number of $5 bills = x + 1

Number of $1 bills = x + 1 + 2 = x + 3

Find:

Number of each bills

Computation:

10(x) + 5(x+1) + 1(x+3) = 40

10x + 5x + 5 + x + 3 = 40

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Number of $10 bills = x = 2

Number of $5 bills = x + 1 = 3

Number of $1 bills  = x + 3 = 5

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3 years ago
4 avocados cost $0.76 At this rate, how much do 9 avocados cost?
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Answer:

9 avocados cost $1.71

Step-by-step explanation:

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