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3 years ago

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ANSWER ASAP!!! A trash compactor can compress 2/3 kilograms of trash in 1 minute. How many minutes would it take to compress 1/4

kilograms?
A. 1/4 × 2/3 = 1/6
B. 2/3 + 1/4 = 11/12
C. 1/4 ÷ 2/4 = 3/8
D. 2/3 ÷ 1/4 = 8/3

1 answer:

masha68 [24]3 years ago

5 0

The answer is D if correct

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$ The sum of twe numbers is 42. Their difference is 16.

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Answer:

x = 29

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Step-by-step explanation:

Write 2 equations:

x + y = 42

x - y = 16

Isolate x in the first equation:

x = 42 - y

Substitute this in for x in the second equation:

42 - y - y = 16

42 - 2y = 16

solve for y:

-2y = -26

y = 13

Plug in 13 for y in either equation:

x + 13 = 42

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The domain and the range of a function are the set of input and output values, the function can take.

<em>The domain and the range of </em> $g(x) = 9x^2 - 2$ <em> is </em> $(-\infty, \infty)$ <em>.</em>
<em>The parent function </em> $f(x) =x^2$ <em> is vertically compressed by 9, then shifted down by 5 units to get </em> $g(x) = 9x^2 - 2$ <em />

<em />

Given

$g(x) = 9x^2 - 2$

<u>Domain and range</u>

There is no restriction as to the input and the output of function g(x).

This means that the domain and the range are $(-\infty, \infty)$

$(-\infty, \infty)$ is in interval notation

The corresponding set notation is: $- \infty < x < \infty$

<u />

<u>The parent function</u>

We have:

$f(x) = x^2$

First, the parent function is vertically compressed by a factor of 9.

The rule of this transformation is:

$(x,y) \to (x,9y)$

So, we have:

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Next, the function is shifted down by 5 units.

So, we have:

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Read more about functions at:

brainly.com/question/21027387

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