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Iteru [2.4K]
3 years ago
15

Someone please help ASAP. 15 points and I’ll mark brainliest.

Mathematics
1 answer:
lyudmila [28]3 years ago
3 0

Answer:

first is linear second is quadratic and third looks like linear

Step-by-step explanation:

1. its a continuous straight line, linear

2. parabola shaped, quadratic

3. again a straight line, so linear

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If f(x) = 4, then x
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x=4/f

Step-by-step explanation:

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Consider the point P = (4,-1) and the line L, given by the equation y=2x+3.
3241004551 [841]

Answer:

A. y=2x-9

B. y=-\frac{1}{2}x+1

Step-by-step explanation:

A. Parallel lines have the same slope. That means the line y=2x+3 has the same slope as any line parallel to it. So the slope is 2.

Using m=2, substitute it and (4,-1) into the point slope form and simplify to find the y-intercept.

y-y_1 = m(x-x_1)\\y--1=2(x-4)\\y+1=2(x-4)\\y+1=2x-8\\y=2x-9

B. Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=2x+3 is 2. The slope perpendicular to it is -1/2.

Using m=-1/2, substitute it and (4,-1) into the point slope form and simplify to find the y-intercept.

y-y_1 = m(x-x_1)\\y--1=-\frac{1}{2}(x-4)\\y+1=-\frac{1}{2}(x-4)\\y+1=-\frac{1}{2}x+2\\y=-\frac{1}{2}x+1

6 0
3 years ago
Evaluate g(p)h(p) by modeling or by using the distributive property.
lana66690 [7]

Answer:

g(p)h(p) = = p^4 + 2p^3 - 8p^2 -2p + 4

Step-by-step explanation:

Hello!

We will use the distributive property:

g(p) h(p) = ( p - 2 ) * ( p^3 + 4p^2 - 2 ) = ( p^3 + 4p^2 - 2 ) * ( p - 2 )

The distributive property allow us to multiply the first term <em>(p^3 + 4p^2 - 2) </em>by every member of the second member, that is <em>p </em>and <em>-2.</em>

g(p) h(p) = ( p^3 + 4p^2 - 2 ) * p + ( p^3 + 4p^2 - 2 ) * (-2)

Now we can do the same for the two resulting terms, that is, we can multiply every term in parenthesis<em> ( p^3 + 4p^2 - 2 ) </em>by the term on the rigth:

( p^3 + 4p^2 - 2 ) * p = (p^3)*p + (4p^2)*p - 2*p = p^4 + 4p^3 -2p

( p^3 + 4p^2 - 2 ) * (-2) = (p^3)*(-2) + (4p^2)*(-2)- 2*(-2) = -2p^3 - 8p^2 + 4

And now we can sum both terms and add monomials with the same exponent of t. Look at the underlined terms

g(p) h(p) = p^4 + <em><u>4p^3</u></em><em> </em>-2p - <u>2p^3 </u>- 8p^2 + 4 = p^4 +<em><u>2p^3</u></em> -2p - 8p^2 + 4

              = p^4 + 2p^3 - 8p^2 -2p + 4

3 0
3 years ago
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