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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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Which of the following is the product of the rational expressions shown below? 7x/x-4•x/x+7
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<h2>The product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}</h2>

Step-by-step explanation:

We have,

\dfrac{7x}{x-4}.\dfrac{x}{x+7}

To find, the product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = ?

∴ \dfrac{7x}{x-4}.\dfrac{x}{x+7}

= \dfrac{7x.x}{(x-4)(x+7)}

= \dfrac{7x^2}{(x(x+7)-4(x+7)}

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= \dfrac{7x^2}{x^2+3x-28}

Thus, the product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}

5 0
3 years ago
Systematic Sampling Technique is used to select 5 numbers between 1 and 200. The first selected number is 12. What should be nex
inna [77]

Answer:

24, 36, 48, and 60

Step-by-step explanation:

The data chosen when using a Systemic Sampling Technique has a specific set interval which keeps on repeating itself until all the data has been chosen. Therefore since the first number that was selected from the population was 12, we can assume that the selected numbers will be every 12 digits. Therefore based on this information, we can calculate that the next four numbers that are chosen would be the 24, 36, 48, and 60

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3 years ago
Shley solved the exponential equation 3x+1 = 15 and her work is shown below. what is the first step she did incorrectly? step 1:
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The step 2 because 3 is not multiplying the 1 only the x in the bracket
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2 years ago
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mario62 [17]

Answer:

144

Step-by-step explanation:

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144

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