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Yuliya22 [10]
3 years ago
9

Identify the vertex of the function h(x) = −2x2 + 10x + 1.

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
8 0
The answer is vertex is (5/2, 27/2).

Find x= -b/2a where a=-2, b=10 then plug x value back into function to solve for y value of vertex (x,y).
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what is the y-intercept of the equation of the line that is perpendicular to the line y=3/5x+10 and passes through the point (15
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The slope of the given line is the coefficient of x, 3/5. The slope of the perpendicular line will be the negative reciprocal of that: -1/(3/5) = -5/3.

The point-slope form of the equation for a line of slope m through point (h, k) can be written ...

... y = m(x -h) +k

For your point and the slope found above, this becomes

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When x=0, this is

... y = (-5/3)(-15) -5 = 20

The y-intercept is 20.

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