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navik [9.2K]
3 years ago
10

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

Mathematics
2 answers:
tresset_1 [31]3 years ago
5 0

Answer:

f(x)=(x+5)/8

Step-by-step explanation:

f(x)=y so we have y=8x-5and inverse function  is x=8y-5

y=(x+5)/8 that is f(x)=(x+5)/8

faltersainse [42]3 years ago
4 0

Answer:

f^-1(x) = x/8 + 5/8

Step-by-step explanation:

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The cost C (in dollars) to participate in a ski club is given by the literal equation C=85x+60, where X=C/85-12/17 is the number
dybincka [34]

Given:

The cost C (in dollars) to participate in a ski club is given by,

\begin{gathered} C=85x+60 \\ (or) \\ x=\frac{C}{85}-\frac{12}{17} \end{gathered}

Where x is the number of ski trips we take.

To find:

The number of ski trips when a total cost of $315 and $485 is spent.

Explanation:

Substituting C = 315 in the given equation we get,

\begin{gathered} x=\frac{315}{85}-\frac{12}{17} \\ x=\frac{315-60}{85} \\ x=\frac{255}{85} \\ x=3\text{ ski trips} \end{gathered}

Substituting C = 485 in the given equation we get,

\begin{gathered} x=\frac{485}{85}-\frac{12}{17} \\ x=\frac{485-60}{85} \\ x=\frac{425}{85} \\ x=5\text{ ski trips} \end{gathered}

Thus,

If we spend a total cost of $315, we can take 3 ski trips.

If we spend a total cost of $485, we can take 5 ski trips.

Final answer:

• If we spend a total cost of $315, we can take 3 ski trips.

,

• If we spend a total cost of $485, we can take 5 ski trips.

8 0
8 months ago
8 cm<br>10 cm<br>3 cm<br>What is the volume of the right rectangular prism?​
kati45 [8]

Answer:

240 cubic centimetres

Step-by-step explanation:

volume of the right rectangular prism

= 8 \times 10 \times 3 \\  = 240 \:  {cm}^{3}

5 0
3 years ago
Someone please help me out here.
Natasha2012 [34]

Answer:

1) 3x²+8x

2) 3x²+2x+2

3) -3x²-2x-2

4) 9x³+12x²-2x-1

5) 3x²+5x+1/3x-1

8 0
2 years ago
Graham can run
Snowcat [4.5K]

Answer:

it would take him 63.55.minutes or 1 hour 3 minutes so it would take him a about to a bit more than an hour

5 0
2 years ago
A proportional relationship is shown in the table below: what is the slope and what numbers do i graph. ty besties
dangina [55]

Answer:

The slope of the line is m = \frac{3}{5} and the equation of the line is y = \frac{3}{5}\cdot x.

Step-by-step explanation:

From table we understand that slope of the line is constant, that is, for each change of x there is one and only change in y, fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:

m = \frac{y_{f}-y_{o}}{x_{f}-x_{o}} (1)

Where:

x_{o}, x_{f} - Initial and final x-coordinates of the line.

y_{o}, y_{f} - Initial and final y-coordinates of the line.

If we know that (x_{o}, y_{o}) = (0,0) and (x_{f},y_{f}) = (8,4.8), then the slope of the line is:

m = \frac{4.8-0}{8-0}

m = \frac{3}{5}

From graph we conclude that x-intercept of the line is b = 0. Hence, the equation of the line is y = \frac{3}{5}\cdot x and we proceed to plot the expression with the help of a graphing tool.

5 0
2 years ago
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