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love history [14]
3 years ago
11

What is the inverse of f(x)=5x-8

Mathematics
1 answer:
Ksju [112]3 years ago
8 0

Answer:

\large\boxed{f^{-1}(x)=\dfrac{1}{5}x+\dfrac{8}{5}}

Step-by-step explanation:

f(x)=5x-8\to y=5x-8\\\\\text{change}\ x\ \text{to}\ y\ \text{and vice versa}\\\\x=5y-8\\\\\text{solve for}\ y:\\\\5y-8=x\qquad\text{add 8 to both sides}\\\\5y-8+8=x+8\\\\5y=x+8\qquad\text{divide both sides by 5}\\\\\dfrac{5y}{5}=\dfrac{x}{5}+\dfrac{8}{5}\\\\y=\dfrac{1}{5}x+\dfrac{8}{5}

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amid [387]

Answer:

The answer si:  

- 16 servings - 6 oz of salmon

- 24 servings - 9 oz of salmon

- 80 servings - 30 oz of salmon

- 100 servings - 37.5 oz of salmon

1 roll is 8 servings and it is also made of 3oz of smoked salmon. That means that 3oz of smoked salmon is needed fo 8 servings.

Now, let's made some proportions:

16 servings:

3 oz is for 8 servings, how much oz is for 16 servings:

3 : 8 = x : 16

x = 3 · 16 ÷ 8 = 6 oz

24 servings:

3 oz is for 8 servings, how much oz is for 24 servings:

3 : 8 = x : 24

x = 3 · 24 ÷ 8 = 9 oz

80 servings:

3 oz is for 8 servings, how much oz is for 80 servings:

3 : 8 = x : 80

x = 3 · 80 ÷ 8 = 30 oz

100 servings:

3 oz is for 8 servings, how much oz is for 100 servings:

3 : 8 = x : 100

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5 0
3 years ago
What is the ^ in an equation for
Goryan [66]

Answer:

It means to the power.

Example*

2^2 = 2 to the power of 2 = 4

6 0
4 years ago
Read 2 more answers
X + y = 7, what is the value of 2x + 2y -2?<br>btw please hurry, thx &lt;3
stira [4]

Answer:

The answer is 12 because 2x is just 8 and 2y is just 6 so add that and get 14 then subtract 2.

Step-by-step explanation:

5 0
3 years ago
The price of a stock increased 1/2 cent Monday morning. On Monday after noon,the price of the stock decreased 5/6 cent. What is
spin [16.1K]

Answer:

The overall change is -2/6 cents.

Step-by-step explanation:

The overall change in the stock price would be the increase minus the decrease.

The increase is 1/2

The decease is 5/6

1/2 - 5/6 =

Change 1/2 to 3/6

3/6 - 5/6 =

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4 0
3 years ago
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Solve the following absolute value equation.
Ivanshal [37]

So the equation is 2[x + 1] = 6, right? So you’d solve it as follows:

2[x + 1] = 6

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[x + 1] = 3

Subtract one to get x by itself

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X = 2 or -2

7 0
4 years ago
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