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katen-ka-za [31]
3 years ago
10

Given the function f(x) = The quantity of 2x minus 5, divided by 3 , which of the below expressions is correct? (1 point) f−1(x)

= The quantity of 5 minus 2x, divided by 3. f−1(x) = The quantity of 3x minus 5, divided by 2. f−1(x) = The quantity of 3x plus 5, divided by 2. f−1(x) = The quantity of negative 2x minus 5, divided by 3.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
8 0

Answer:

f^{-1}(x)=the quantity of 3x plus 5 divided by 2

Step-by-step explanation:

We are given that a function f(x)=\frac{2x-5}{3}

We have to find the correct expression

Suppose y=\frac{2x-5}{3}

3y=2x-5

3y+5=2x

x=\frac{3y+5}{2}

Therefore, f^{-1}(x)=\frac{3x+5}{2}

Answer:f^{-1}(x)=the quantity of 3x plus 5 divided by 2

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Erica earns $6 an hour helping her grandmother. Her goal is to earn $48 this weekend
denpristay [2]

Answer:

h = 48 ÷ 6

she has to work for 8 hours

Step-by-step explanation:

Given:

1hr = $6

$48 = ?

let no. of hours be "h"

equatuon: h = 48 ÷ 6

solution: h = 8

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6 0
2 years ago
Kate has 12 1/2 pounds of chocolate. She gives each of her 5 friends x pounds each and has 3 1/3 pounds left over. How much did
Alenkasestr [34]
Let's write an equation and solve for x
12 1/2 = 5x + 3 1/3
rewrite the mixed fractions as improper fractions and with denominator 6
75/6 = 5x + 20/6
subtract 20/6 from both sides
55/6 = 5x
divide both sides by 5 to isolate x
11/6 = x
That is 1 and 5/6 pounds per each of the friends

To check:
<span>12 1/2 =?= 5(1 5/6) + 3 1/3
12 1/2 =?= 55/6 + 3 1/3
12 1/2 =?= 25/2
12 1/2 = 12 1/2

Hope this helps</span>
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