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2 years ago

I REALLY NEED HELP!!

Mathematics

1 answer:

Nitella [24]2 years ago

7 0

Based on the calculations on these invertible functions, f⁻¹(f(6.022)) is equal to 6.022 and f⁻¹(-10) + f(-6) is equal to -16.

<h3>What is an invertible function?</h3>

An invertible function refers to a type of function that is obtained by reversing the operation of a given function (f(x)).

In Mathematics, a function and its inverse function has the following property f⁻¹(f(x)) = x. By applying this property, we have:

f⁻¹(f(6.022)) = 6.022.

From the table, we have:

f⁻¹(-10) = -6

f(-6) = -10

Therefore, f⁻¹(-10) + f(-6) is given by:

f⁻¹(-10) + f(-6) = -6 - 10

f⁻¹(-10) + f(-6) = -16.

Read more on invertible function here: brainly.com/question/15635761

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3 years ago

The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on

hoa [83]

<h3><u>Question</u></h3>

The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on his earnings of $512. At the same rate, how much will Charlie save this week on his earnings of $448?

<h3><u>Answer:</u></h3>

Charlie saved $ 28

<h3><u>Solution:</u></h3>

Given that amount of money that Charlie saves each week is directly proportional to the amount he earns

Let y represent of saved money and x represent amount of earned money

Therefore,

$\text{ Amount of money saved each week } $\propto$ amount he earns$

$y \propto x$

y = kx --- eqn 1

Where "k" is the constant of proportionality

<em><u>Last week Charlie saved $32 on his earnings of $512</u></em>

y = 32 and x = 512

Substituting in eqn 1, we get

$32 = k(512)\\\\k = \frac{32}{512} = 0.0625$

To find amount of saved money, we will substitute k = 0.0625 and x = 448 in eqn 1

y = 0.0625(448) = 28

Thus charlie saved $ 28

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3 years ago

a rectangle has a perimeter of 76 cm. Its length is 5 more that twice its width. The system of equation below can be use to fine

Juliette [100K]

Answer:

$l=27cm$ and $w=11cm$

Step-by-step explanation:

the perimeter of a rectangle is given by the following equation:

$p=2(l+w)=2l+2w$

if a rectangle has a perimeter of 76cm and its length is 5 plus the double of its width we can use a system of equations to find the length $l$ , and the width $w$ .