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marysya [2.9K]
2 years ago
11

If rhe discriminant of a quadratic equation is equal to -8 which statement describes the roots

Mathematics
1 answer:
Nastasia [14]2 years ago
6 0

Answer:

Step-by-step explanation:

Given

Discriminant = -8

Required

Determine the type of roots

Represent Discriminant with D; such that

D = -8

D is calculated as thus

D = b^2 - 4ac

And it has the following sequence of results

When D > 0; then the roots of the quadratic equation are real but not equal

When D = 0; then the roots of the quadratic equation are real and equal

When D < 0; then the roots of the quadratic equation are complex or imaginary

Given that D = -8; This means that D < 0; and base on the above analysis, we can conclude that the roots of the quadratic equation are complex or imaginary

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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}

Now, cross multiply.

4b-8=b^2-2b

b^2-6b+8=0

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

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

Thus, b=4 or b=2.

However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.

4 0
2 years ago
A random number generator is used to select an integer from 1 to 100 ​(inclusively). What is the probability of selecting the in
natima [27]

Answer:

The correct answer is zero.

Step-by-step explanation:

A random variable generator selects an integer from 1 to 100 both inclusive leaves us with total number of possible sample as 101.

We need to find the probability of selecting the integer 194.

The probability of selecting 194 from the sample is zero as the point does not exist in the random variable generator. Thus we can never pick 194 from the random variable generator giving us the probability a zero.

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2 years ago
If an exam is 75 questions long, a 100% being the highest grade, and 79% and below is failing, how many questions can you miss i
natita [175]
It's a C + 

You did a well! 

Hope this helped!
6 0
3 years ago
Read 2 more answers
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storchak [24]
The form f(x) = a(bx) equals a. The initial value of the function f(x) = a(bx) is always a. This is due to the fact that an is not reliant on x. As a result, if x changes, bx will change as well, but a will not.
6 0
2 years ago
H(x)={(-7,-1),(0,0),(5,8)} domain and range
Bingel [31]

Answer:

The domain is -7, 0, and 5

The range is -1, 0, and 8

Step-by-step explanation:

The domain of a set of points is the x-value. In this case the x-values are -7, 0, and 5 respectively. The range of a set of points is the y-value so in this case the range is -1, 0, and 8.

7 0
2 years ago
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