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Nookie1986 [14]
2 years ago
6

Given the function f(x) = The quantity of 5x minus 3, divided by 4, which of the below expressions is correct?

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
8 0

Answer:

B. f−1(x) = The quantity of 4x plus 3, divided by 5

Step-by-step explanation:

Given

f(x) = \frac{5x-3}{4}

We have to find the inverse of the function

Let\\f(x) = y\\y=\frac{5x-3}{4}\\4y=5x-3\\4y+3=5x\\\frac{4y+3}{5} =y

So, the inverse of f(x) is:

\frac{4y+3}{5}

Hence,

The correct answer is:

<u>B. f−1(x) = The quantity of 4x plus 3, divided by 5 ..</u>

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What annual rate of interest would you have to earn on an investment of $3500 to ensure receiving $273.00 interest after 1 year?
kogti [31]

To find the answer, we will have to find the percentage of $273 to $ 3500, and we can use the formula:

\frac{interest received}{investment amount} \times 100%

In this case:

273/3500 x 100%

=39/500 x 100%

=7.8%

Therefore the annual interest rate would be 7.8%.

Hope it helps!

8 0
3 years ago
Which model is 85% shaded?<br> Done
Kobotan [32]

Answer:

I would need to see the models to answer this question.

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2 years ago
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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everyth
crimeas [40]

The inequality described can be written as:

y < 3x + 2.

<h3>How to get the inequality?</h3>

First, we know that we have a dashed line, and the region to the left of that line is shaded, then we will have:

y < line.

The linear equation is of the form:

y = a*x + b

Where a is the slope and b is the y-intercept.

Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = \frac{y_2 - y_1}{x_2 - x_1}

Here we know that the line passes through (-3, -7) and (0, 2), so the slope is:

a = \frac{2 - (-7)}{0 - (-3)} = 9/3 = 3

And because the line passes through (0, 2), the y-intercept is 2, then the inequality is:

y < 3x + 2.

If you want to learn more about inequalities:

brainly.com/question/2516147

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8 0
2 years ago
The calculated average of a data set best describes which of the following
sasho [114]
The calculated average of a data set best describes A: Mean.
3 0
3 years ago
HELP PLEASE HELP MEEEE PLEASEEE
salantis [7]

Answer: a. x=4 b. x=17.5

Step-by-step explanation:

a. 5x/2+1=11

subtract 1 from both sides : 5x/2=10

multiply both sides by 2 : 5x=20

divide both sides by 4 : x=4

b. 2x/7-3=2

add 3 to both sides : 2x/7=5

multiply both sides by 7 : 2x=35

divide both sides by 2 : x=17.5

8 0
3 years ago
Read 2 more answers
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