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2 years ago

If the discriminant of an equation is negative, which of the following is true of the equation

Mathematics

2 answers:

Igoryamba2 years ago

5 0

The answer is A. it has two complex solutions

bulgar [2K]2 years ago

3 0

Answer:

A. It has two complex roots.

Step-by-step explanation:

We are given that

Discriminant of an equation =negative

We have to find which is true about the equation .

Let quadratic equation

$ax^2+bx+c=0$

Discriminant= $D=b^2-4ac$

If D < 0 , then the equation has complex roots.

Therefore, if the discriminant of an equation is negative then the equation has two complex roots.

Answer:A. It has two complex roots.

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Ex 2.8<br> 3. find the maximum value of y for the curve y=x^5 -3 for -2≤x≤1

harkovskaia [24]

$y=x^5-3\\ y'=5x^4\\\\ 5x^4=0\\ x=0\\ 0\in [-2,1]\\\\ y''=20x^3\\\\
y''(0)=20\cdot0^3=0$

The value of the second derivative for $x=0$ is neither positive nor negative, so you can't tell whether this point is a minimum or a maximum. You need to check the values of the first derivative around the point.
But the value of $5x^4$ is always positive for $x\in\mathbb{R}\setminus \{0\}$ . That means at $x=0$ there's neither minimum nor maximum.
The maximum must be then at either of the endpoints of the interval $[-2,1]$ .
The function $y$ is increasing in its entire domain, so the maximum value is at the right endpoint of the interval.

$y_{max}=y(1)=1^5-3=-2$

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3 years ago

Josue's overtime pay is $6 an hour more than his regular pay. He worked 7 hours at his regular wage and 5 hours at his overtime

adell [148]

The answer is: 7x + 5 (x + 6) = 138 7x + 5x + 30 = 138 12x = 138 - 30 12x = 108 x = 9 $ = regular pay and overtime = 9 + 6 = 15 $...

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3 years ago

Which equation is equivalent

yawa3891 [41]

The equation that is equivalent is -2+(-7).

7 0

3 years ago

Mrs. Jennings had a 5/7 gallon of paint. She gave 1/7 gallon each to some students. How many students received paint if Mrs. Jen

Mumz [18]

You divied so your answer is 5 hope it helps

7 0

3 years ago

Read 2 more answers

A student has a 30% chance of receiving chocolate ice cream for dessert at lunch. A statistics class designs a simulation to app

Nadusha1986 [10]

The count of the sections the class should label as "Chocolate Ice Cream" is 3.

<h3>How to calculate the probability of an event?</h3>

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

$P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}$

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For the considered case, it is given that:

Probability of an student getting Chocolate Ice Cream for dessert at lunch = 30% = 0.3

The count of the sections the class should label as "Chocolate Ice Cream" should be such that spinner getting "Chocolate Ice Cream" as option should have the probability as 0.3

Let the count of the sections the class should label as "Chocolate Ice Cream" be $x$

Then, as there are in total 10 sections in the spinner, and all sections are assumingly equally probable, thus, if the event E is:

E = event of getting "Chocolate Ice Cream" in the spinner ,

then as n(E) = $x$ (as there are $x$ sections with label "Chocolate Ice Cream")

and n(S) = total count of sections (size of sample space) = 10

Thus, we get probability of event E as:

$P(E) = \dfrac{n(E)}{n(S)} = \dfrac{x}{10}$

This needs to be equal to 0.3, thus,

$0.3 = \dfrac{x}{10}\\x = 3$

Thus, the count of the sections the class should label as "Chocolate Ice Cream" is 3.

Learn more about probability here:

brainly.com/question/1210781

3 0

2 years ago

Read 2 more answers