3 years ago

Write an equation of the line with a slope of 3 and a y-intercept of 4.5.

Mathematics

1 answer:

topjm [15]3 years ago

7 0

Answer:y= 3x + 4.5

Step-by-step explanation:

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Question (18):

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What is the vertex of g(x) = –3x2 + 18x + 2?

blsea [12.9K]

Answer:

$(3,29)$

Step-by-step explanation:

There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is $x=\frac{-b}{2a}$

We have the function $g(x)=-3x^2+18x+2$

From this function, we can find that

$a=-3\\b=18\\c=2$

We can plug in our know values into the formula to get

$x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3$

Then we can plug in our x-value to find the y-value of the vertex

$g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29$

This means that the vertex would be $(3,29)$

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Answer:

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Step-by-step explanation:

She has 79 AFTER her grandfather gave her 35. So you would subtract 35 from the 75 and get $44

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2 years ago

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