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4 years ago

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Mathematics

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Paha777 [63]4 years ago

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I think for me is that 1 and 2 answer yeah

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17/21 ÷ 3 4/7 what us the estimated answer and steps to divide and find the answer

r-ruslan [8.4K]

Convert 3 4/7 into an improper fraction: 25/7
17/21 divided by 25/7

Dividing by a fraction is the same as multiplying by it's reciprocal.
17/21*7/25

Simplify:
17/3*1/25

Multiply across:
17/75

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3 years ago

I have four times as much money as my brother has. Our total is $55. How much does each of us have?

padilas [110]

Answer:

27.5

Step-by-step explanation:

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3 years ago

Read 2 more answers

The one-to-one functions g and h are defined as follows

Debora [2.8K]

Answer:

$g^-^1(x)=-8$

$h^-^1(x)=\frac{x-4}{3}$

$(h^-^1 \ o\ h)(-3)=-3$

Step-by-step explanation:

When given the following functions,

$g=[(-2,-7),(4,6),(6,-8),(7,4)]$

$h(x)=3x+4$

One is asked to find the following,

1. Question 1

$g^-^1(4)$

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

$g^-^1(4)$

$g(4)=6\\g(6)=-8\\g^-^1(4)=-8$

2. Question 2

$h^-^1(x)$

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

$h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)$

$h^-^1(x)=\frac{x-4}{3}$

3. Question 3

$(h^-^1 \ o\ h)(-3)$

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function ( $h^-^1$ ) and simplify. Then substitute (-3) into the result.