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4 years ago

Solve the inequality. n + 9 < −3

1 answer:

7 0

When solving this inequality, you would do the inverse to the other side.

Subtraction is the inverse of addition.

So,

n + 9 (-9) <-3 (-9)

n<-12

When you subtract two negative numbers, you continue to the left of the number line.

I hope this helps!
~cupcake

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Below is the graph of y= x.<br> Translate it to make it the graph of y=<br> x-1 + 4.

Oduvanchick [21]

First, to shift the graph of $y=x$ 1 unit to the right, so $y=x-1$
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<h2>Explanation:</h2>

To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged

$Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:$

$\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c$

$\bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)$

In this case, we have the graph of:

$y=x$

And we need to translate it to make it the graph of:

$y=x-1+4$

According to our rules we need:

First, to shift the graph of $y=x$ 1 unit to the right, so $y=x-1$
Second, to shift the graph of $y=x-1$ 4 units to the left, so $y=x-1+4$

But $y=x-1+4$ is the same as $y=x+3$ , so the previous steps can be simplified as:

Shifting the graph of $y=x$ 3 unit to the left.

Below are shown those graphs:

The blue one is $y=x$
The red one is $y=x-1+4$

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

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-10x + 1.5 because you get rid of the parenthesis so -2 times 5 is -10 ( -10x ) and then -2 times -0.75 equals positive 1.5 due to two negatives canceling out to positive hope this helped!

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