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3 years ago

Let \[f(x) = \frac{3x - 7}{x + 1}.\]find the range of $f$. give your answer as an interval.

1 answer:

7 0

Hello :
let : $y= \frac{3x-7}{x+1}$
calculate : x ......x <span>≠ -1
</span> $y(x+1) = 3x-7$
$yx+y =3x-7$
$yx-3x = -y-7$
$x(y-3) = -7-y$
$x = \frac{y+7}{3-y}$
the inverse function is : $g(x) = \frac{x+7}{3-x}$
domain of : g is the range of : f
as an interval : ]-∞: 3 <span>[</span>U ]3;+∞[

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If the volume of the popcorn box is 74 cubic inches. Then the length of the popcorn box in inches will be 0.3 inches.

<h3>What is a rectangular prism?</h3>

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full.

Its width is 3 and 1/2 in and its height is 77 in.

Then the width of the prism will be

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Then the length of the popcorn box in inches will be

$\rm V \ = LWH\\\\\\74= L \times \dfrac{7}{2} \times 77\\\\\\L\ = 0.2745 \approx 0.3$

More about the rectangular prism link is given below.

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2 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Mr Davis is creating a spice mixture for a recipe.2/5 of the spice mixture was oregano 1/3 of the spice mixture was basil the re

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Answer: $\frac{11}{15}$

Step-by-step explanation:

You know that:

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- 1/3 of the spice mixture was basil.

Then, to find the fraction of the total amount of spice mixture that was oregano and basil, you must add both fractions, as following:

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- Divide the LCM by each original denominator and multiply the result by each numerator.

- Make the addition.

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3 years ago

Answer to the question

netineya [11]

Well first off, you need to add 25.50+15.30+9.25 which equals 50.05 then you would subtract that from 72 so 72-50.5 which gets your answer of 21.95 centimeters

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3 years ago

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3 years ago