Which graph shows a quadratic function with a discriminant value of 0?

Mathematics

1 answer:

Tomtit [17]3 years ago

8 0

Answer:

see below

Step-by-step explanation:

A discriminant value of zero means there is exactly one x-intercept. The graph below has that characteristic.

_____

<em>Comment on discriminant</em>

discriminant > 0, two (2) x-intercepts (first 2 graphs)

discriminant < 0, no (0) x-intercepts (third graph)

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Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8

vekshin1

Answer:

b=4

Step-by-step explanation:

So, we have the function $f(x)=1/x$ . We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

$\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b} =-1/8$

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

$\frac{.5b-1}{2b-b^2} =\frac{-1}{8}$