MATHEMATICS COLLEGE

Hello can you please help me posted picture of question
hello can you please help me posted picture of question - 1

Answers

Answer 1
Answer: The discriminant help us to identify the nature of the roots.

If Disc > 0, the function has two distinct roots
If Disc = 0, the function has repeated roots
If Disc < 0, the function has complex roots

The turning away of the function indicates a repeated root at that point.
Thus, the given quadratic equation has a repeated root at x = 2. So the discriminant of the function is zero.

Therefore, the correct answer is option B

Related Questions

The temperature, H, in °F, of a cup of coffee t hours after it is set out to cool is given by the following equation. H = 70 + 120(1/4)t (a) What is the coffee's temperature initially (that is, at time t = 0)? 190 °F What is the coffee's temperature after 1 hour? 100 °F What is the coffee's temperature after 2 hours? (Round your answer to one decimal place.) 2 °F (b) How long does it take the coffee to cool down to 85°F? (Round your answer to three decimal places.) 5 hr How long does it take the coffee to cool down to 75°F? (Round your answer to three decimal places.) 5 hr
Hellpp -4c - 9.6 +5c = 0
Which expression is equivalent to the given expression?12(x – 17) A. 12x – 29 B. 12 + 12 • 17 C. 12x – 12 • 17 D. 12x – 17
Please helpWith this question for algebra
In which quadrant of the coordinate plane is the point (−4,1) located

A car company claims that its cars achieve an average gas mileage of at least 26 miles per gallon. A random sample of five cars form this company have an average gas mileage of 25.2 miles per gallon and a standard deviation of 1 mile per gallon. At α=0.06, can the company’s claim be supported, assuming this is a normally distributed data set?

Answers

Answer with explanation:

Let \mu be the population mean.

Null hypothesis : H_0:\mu\geq26

Alternative hypothesis : H_1:\mu<26

Since the alternative hypothesis is left tailed, so the test is a left-tailed test.

Sample size : n=5 <30 , so we use t-test.

Test statistic: t=\frac{\overline{x}-\mu}{(\sigma)/(√(n))}

t=(25.2-26)/((1)/(√(5)))\approx-1.79

Critical t-value for t=t_(n-1, \alpha)=t_(4,0.06)=1.9712

Since, the absolute value of t (1.79) is less than the critical t-value , so we fail to reject the null hypothesis.

Hence, we have sufficient evidence to support the company's claim.

6. How many solutions does the given system have?y = 3x - 1
6x - 2y = -2
A. one solution
B. two solutions
C. infinite solutions
D. no solution

Answers

Answer:

C. Infinite, I think.

Step-by-step explanation:

Because if you plug in y=3x-1 the equation would be: 6x-2(3x-1)=-2 and when you distribute the 2, the equation becomes: 6x-6x-2=-2. Then you do 6x-6x which =0 and then subtract another 2 and you get -2=-2
2 is the answer because 20 -2 equals to 2

The probability that a person has a certain disease is 0.03. Medical diagnostic tests are available to determine whether the person actually has the disease. If the disease is actually​ present, the probability that the medical diagnostic test will give a positive result​ (indicating that the disease is​ present) is 0.92. Of the disease is not actually​ present, the probability of a positive test result​ (indicating that the disease is​ present) is 0.01. a. If the medical diagnostic test has given a positive result​ (indicating that the disease is​ present), what is the probability that the disease is actually​ present

Answers

Answer: 0.74

Step-by-step explanation:

A= "The person is sick"

B= "The test gives a positive result"

P(A)=0.03

P(B|A)=0.92

P(B|A')=0.01

P(A')=1-P(A)=1-0.03=0.97

P(B)=P(B|A)P(A)+P(B|A')P(A')=0.92*0.03+0.01*0.97=0.0373

Based in Bayes Rule

P(A|B)=P(B|A)P(A)/P(B)=0.92*0.03/0.0373=0.74

Use the following to answer questionsEmployment statistics in the US are often based on two nationwide monthly surveys: the Current Population Survey (CPS) and the Current Employment Statistics (CES) survey. The CPS samples approximately 60,000 US households and collects the employment status, job type, and demographic information of each resident in the household. The CES survey samples 140,000 non-farm businesses and government agencies and collects the number of payrolls jobs, pay rates, and related information for each firm.

a. What is the population in the CPS survey?

b. What is the population in the CES survey?

Answers

Answer:

A. The population in the CPS survey are all US households.

B. The population in the CES survey are all the non-farm businesses and government agencies.

Step-by-step explanation:

A sample is the number of people from a whole population who actually participated in a survey. The population is the entire group of people whom the survey is meant to study. The sample is an off shoot of the population.

In the given question, the Current Population Survey is a study on the entire US households. Since every household cannot be interviewed because of the large population, a sample of 60,000 households is used.  The whole households in the United States thus form the population under study.

For the Current Employment Statistics survey, the goal is to understand employment statistics in all the non-farm businesses and government agencies. This is the population. Since the entire population cannot be studied, a sample of 140,000 is used.

Write and solve an equation to find the value of x. PLS HELP!!

Answers

Answer:

23.59 - 14.89 = x

x = 8.7

Step-by-step explanation:

To find x, you need to add all of the other sides and subtract it from the perimeter. 5.62 + 5.62 + 3.65 = 14.89.

23.59 - 14.89 = x, so x = 8.7

Answer:

8.7

Step-by-step explanation:

Add all the numbers together (5.62, 5.62, and 3.65) then take away from the result (23.59) to get answer.

according to the line plot what is the total distance that was run by Runners who each ran for 1/3 of a mile​

Answers

The total distance that was run by Runners who each ran for 1/3 of a mile​ will be 4/3.

What is distance?

The distance is defined as the length of the space between the two points separated from each other.

From the graph, the distance of 1/3 miles is covered by 4 runners so the total distance will be calculated as:-

Distance = 1/3  x  4

Distance = 4/3  miles

Hence the total distance that was run by Runners who each ran for 1/3 of a mile​ will be 4/3.

To know more about distance follow

brainly.com/question/2854969

#SPJ2

So you would do 1/3 times 4 so that is 1 and 1/3
Other Questions
HELPP!!! BRAINLYESTTTTT!!!!!!GRAPH THE FUNCTION:
If you’re good at Geometry, can you help me with some math equations?
One normally distributed with mean value 20 in. and standard deviation .5 in. The length of the second piece is a normal rv with mean and standard deviation 15 in. and .4 in., respectively. The amount of overlap is normally distributed with mean value 1 in. and standard deviation .1 in. Assuming that the lengths and amount of overlap are independent of each other, what is the probability that the total length after insertion is between 34.5 and 35 in.
Translate the sentence into an inequality.A number w increased by 6 is greater than or equal to 27.