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Galina-37 [17]
2 years ago
13

If f(x)=7x^2+3x+5, what is f(3+h)

Mathematics
1 answer:
babymother [125]2 years ago
4 0

f(3 + h) = 7(3 + h) ^{2}  + 3(3 + h) + 5 = 7(9 + 6h + h ^{2}   + 5 = 63 + 42h + 7h ^{2}  + 9 + 3h + 5 = 7h ^{2}  + 39h + 14 = 7h ^{2}  + 39h =  - 14
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The slope of the line in its simplest form is 3.

The slope of a line is Slope=\frac{Rise}{Run}.

We need to find the slope of the line in its simplest form.

<h3>What is the slope?</h3>

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope is often denoted by the letter m; there is no clear answer to the question of why the letter m is used for slope.

Select any two points on the line like A and B.

From the below figure it is clear that

Rise = Change in y = -2-(-5) = 3

Run = Change in x = 9-0 = 9

Now, \frac{9}{3} =3

Therefore, the slope of the line in simplest form is 3.

To learn more about the slope visit:

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