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julsineya [31]
3 years ago
13

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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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).

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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}

Now, cross multiply.

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Solve for b. Factor using the numbers -4 and -2.

=(b-4)(b-2)=0

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