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3 years ago

Let f( x)=2x^2+7x and g(x)=-8x^2-3x+5. What is g(x)+f(x)?

Mathematics

1 answer:

Natalka [10]3 years ago

3 0

Answer:

-6x^2+4x+5

Step-by-step explanation:

g(x)+f(x)=(-8x^2-3x+5)+(2x^2+7x)

=-8x^2-3x+5+2x^2+7x

=-8x^2+2x^2-3x+7x+5

=-6x^2+4x+5

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What is the equation for a line passing through (-2,3) and perpendicular to y= -1/2+1 ?

nata0808 [166]

Answer:

$y=2x+7$

Step-by-step explanation:

The correct question is

what is the equation for a line passing through (-2,3) and perpendicular to y= -1/2x+1 ?

Remember

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes are equal to -1)

The slope of the given line is m=-1/2

the opposite reciprocal is m=2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=2\\point\ (-2,3)$

substitute

$y-3=2(x+2)$

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y-3=2x+4$

$y=2x+4+3$

$y=2x+7$

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2 years ago

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Sergio039 [100]

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Step-by-step explanation:

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Step-by-step explanation:

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