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3 years ago

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x + 7|?

Mathematics

1 answer:

jek_recluse [69]3 years ago

8 0

Answer:

Graph of the function $y=|x+7|$ is translated 7 units to the left graph of the function $y=|x|.$

Step-by-step explanation:

If you are given the function $y=f(x),$ then the graph of the function

$y=f(x-a)$ is translated a units to the right graph of the function $f(x);$
$y=f(x+a)$ is translated a units to the left graph of the function $f(x);$
$y=f(x)+a$ is translated a units up graph of the function $f(x);$
$y=f(x)-a$ is translated a units down graph of the function $f(x).$

In your case, graph of the function $y=|x+7|$ is translated 7 units to the left graph of the function $y=|x|.$

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Use the information below to complete the problem: p(x) = (1)/(x + 1)

bija089 [108]

Given:

The functions are:

$p(x)=\dfrac{1}{x+1}$

$q(x)=\dfrac{1}{x-1}$

To find:

The rational expression for $p(x)-q(x)$ .

Solution:

We have,

$p(x)=\dfrac{1}{x+1}$

$q(x)=\dfrac{1}{x-1}$

Now,

$p(x)-q(x)=\dfrac{1}{x+1}-\dfrac{1}{x-1}$

$p(x)-q(x)=\dfrac{(x-1)-(x+1)}{(x+1)(x-1)}$

$p(x)-q(x)=\dfrac{x-1-x-1}{x^2-1^2}$ $[\because a^2-b^2=(a-b)(a+b)]$

$p(x)-q(x)=\dfrac{-2}{x^2-1}$

Therefore, the required rational expression for $p(x)-q(x)$ is $\dfrac{-2}{x^2-1}$ .

8 0

2 years ago

in a bag there are 6green balls4 blue balls and 5 yellow balls what is the probability of choosing a green ball

anyanavicka [17]

Answer:

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Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Can someone explain and answer please??

Nat2105 [25]

Simplify the ration expression
$\frac{3x-6}{x-2}$

start by seeing if anything in the numerator or denominator can be factored,
you should notice that you can factor out a 3 from 3x-6 in the numerator

when you do so, the result is
$\frac{3 *(x-2)}{x-2}$

now, since there is an x-2 in the numerator and denominator, they "cancel" out since

$\frac{x-2}{x-2} =1$
however, only when $x \neq 2$
since $\frac{0}{0} \neq 1$

when you cancel out the x-2, you're left with 3

hence, your answer is C

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3 years ago

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LiRa [457]

The answer is 20cm
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3 years ago

You are dealth one card from a 52-card deck. find the probability that you are dealt a two or a black card

grigory [225]

The probability of getting a 2 or a getting a black card, find individual probabilities;

A standard deck has 52 cards.

There are 4 2's in a normal deck; probability of getting it is 4/25

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Now add up the probabilities since it says "or"

(4/52)+(26/52)=30/52 probability of the card that you were dealt being a two or a black card.

Hope I helped :)

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3 years ago