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3 years ago

Which function is the inverse of f(x) = -5x - 42

Mathematics

1 answer:

Soloha48 [4]3 years ago

4 0

Answer: $\frac{x+42}{-5}$

Step-by-step explanation:

To find the inverse of a function, follow these steps:

First step: Rewrite $f(x)$ as y

$y=-5x-42$

Second step: Swap x and y.

$x=-5y-42$

Third step: Solve for y.

$x+42=-5y\\\frac{x+42}{-5}=y$

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Someone please explain step by step.

dolphi86 [110]

Answer:

${10}^{th} \: term = \frac{5}{512}$

Step-by-step explanation:

geometric progression formula:

${n}^{th} \: term = ar ^{n - 1}$

given:

common ratio, r = 1/2

$first \: term \: = 5$

1) find the value of a

${n}^{th} \: term \: = a {r}^{n - 1}$

we're finding the 1st term, so substitute 1 into n:

${1}^{st} \: term = a( \frac{1}{2} ) {}^{1 - 1}$

first term is 5. so we substitute 5 into the equation:

$5 = a(1)$

$a = 5$

2) find the 10th term

we're finding the 10th term, so substitute 10 into the equation and don't forget to substitute 5 into a:

${10}^{th} \: term = 5( \frac{1}{2} ) {}^{10 - 1}$

${10}^{th} \: term = 5( \frac{1}{512} )$

${10}^{th} \: term = \frac{5}{512}$

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3 years ago

Iris has been studying an invasive population of snails. This particular snail has no local predators so the population grows wi

borishaifa [10]

A good equation would be: f(x)=P(r)^(15). The full equation would be f(x)=P(r/1)^(1(15)), but I just simplified it. P is the initial/principal population of the snails, and r is the yearly rate of growth.

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3 years ago

C) {(0, 1), (2.1), (0.3) Function? Explain: Is this a function or not

Oliga [24]

Not a function a function does not have repeating numbers

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3 years ago

During track practice, Jonathan ran 5 kilometers. Rob 4,250 meters. Who ran further?

vagabundo [1.1K]

Answer:

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Step-by-step explanation:

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Read 2 more answers

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borishaifa [10]

We will caluclate the cost per gallon first. Then, we will multiply the new quantity by this cost, so we get the new cost.

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$\frac{26.58}{6}=4.43$

Now we multiply this quantity by 18, so we get the cost of 18 gallons. It would be

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so the cost of 18 gallons is 79.74

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1 year ago