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jasenka [17]
3 years ago
9

How does the graph of y=4x+7 differ from the graph of y=4x

Mathematics
2 answers:
Schach [20]3 years ago
3 0

Find any two points on the line.

<span>x=0⇒y=4<span>(0)</span>+7=7⇒</span> Point 1: <span>(0,7)</span>

<span>x=−1⇒y=4<span>(−1)</span>+7=3⇒</span> Point 2: <span>(−1,3)</span>

Step 2: Plot the two points from Step 1

Step 3: Draw a straight line through both points

Mrac [35]3 years ago
3 0

Answer:

It is located 7 units up.

Step-by-step explanation:

As you can see both graphs are linear since they don´t have quadratic or exponential terms, so both graphs are linear and can be determined, now the point where the graphs intersect with the Y axis will be different, because when the value of X is 0, in the first one the Y equals 7 and in the other the Y equals 0, so the lines are paralallel but are 7 units apart from eachother in the Y axis.

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Simplifying quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 we get x+4

Option d is correct.

Step-by-step explanation:

We need to simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2.

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\frac{x^2+6x+8}{x+2}

Solving:

Factorizing the numerator:

\frac{x^2+6x+8}{x+2}\\=\frac{x^2+4x+2x+8}{x+2}\\=\frac{x(x+4)+2(x+4)}{x+2}\\=\frac{(x+2)(x+4)}{x+2}\\Cancelling\,\,x+2\,\,forom\,\,numerator\,\,and\,\,denominator:\\=x+4

So simplifying quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 we get x+4

Option d is correct.

Keywords: Simplifying Expressions

Learn more about Simplifying Expressions at:

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  • brainly.com/question/7014769

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