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GarryVolchara [31]
3 years ago
12

If f(x) = 7x-6, which of the following is the inverse of f(x)?

Mathematics
1 answer:
Harman [31]3 years ago
8 0

Answer:

f^{-1}(x) = \frac{x+6}{7}

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject, that is

y = 7x - 6 ( add 6 to both sides )

y + 6 = 7x ( divide both sides by 7 )

x = \frac{y+6}{7}

Change y back into terms of x, hence

f^{-1}(x) = \frac{x+6}{7}

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The sales tax in Mansfield is 8.25% on anything purchased. What is the percent of the original price you will pay? Write your an
Fynjy0 [20]
If the tax was 10%, then you’d end up paying the original 100% plus the additional 10% tax, so you’d pay 110% of the original price.

In your example, it’s the same, except you have 8.25% tax, so you’d pay 100%+8,25% or 108.25% of the original price.
That’s stated as a percent.

To convert a percent to a decimal, you divide by 100:
108.25 ÷ 100 = 1.0825

To convert a decimal to a fraction, you have to know the place value of the smallest place. In this case, the 5 is in the ten thousandths place.
10825/10000

You can always double check that fraction on a calculator.
7 0
3 years ago
Graph y=2/3x-4<br><br><br><br> i need help!!!!!
Irina18 [472]

Step-by-step explanation:

Y=2/3x-4 is in Slope - intercept form meaning you are shown the slope (how steep the line is) and the y intercept (where the equation hits the vertical axis)

With the given information, select the point (0, -4) on the graph, this is where the line crosses the y axis, as shown through the -4 in the equation.

Next, look at the slope and youll see 2/3x. Slope is in format "rise over run" meaning the first number (2) is the vertical change, so up two, and the second number (3) is horizontal change, right 3.

Combine these two steps together and select point (0. -4) then the next point should be at (3,2), 2 units up and three to the right from the y intercept.

4 0
3 years ago
Are lines of symmetry also diagonals in a polygon? Explain.
Vaselesa [24]
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3 0
3 years ago
Graph the line with slope −1/2 and y-intercept −5.
Allushta [10]

First, we can write the equation of the line using the information provided:

\begin{gathered} y=mx+b \\ where: \\ m=slope=-\frac{1}{2} \\ b=y-intercept=-5 \\ so: \\ y=-\frac{1}{2}x-5 \end{gathered}

Now, we can create a table:

Finally, we can graph the line:

5 0
1 year ago
A shipment of 11 printers contains 2 that are defective. Find the probability that a sample of size 2​, drawn from the 11​, will
svet-max [94.6K]

The required probability is \frac{36}{55}

<u>Solution:</u>

Given, a shipment of 11 printers contains 2 that are defective.  

We have to find the probability that a sample of size 2, drawn from the 11, will not contain a defective printer.

Now, we know that, \text { probability }=\frac{\text { favourable outcomes }}{\text { total outcomes }}

Probability for first draw to be non-defective =\frac{11-2}{11}=\frac{9}{11}

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Then, total probability =\frac{9}{11} \times \frac{4}{5}=\frac{36}{55}

7 0
3 years ago
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