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laiz [17]
3 years ago
11

Identify the maximum value of the function y = -6x^2- 12x - 1

Mathematics
2 answers:
Vlada [557]3 years ago
6 0

Answer:

The maximum value is 5

Step-by-step explanation:

Since this is an upside-down parabola, the maximum value occurs at the vertex. Using -b/2a, we can find the x-value of the vertex and use that x value to plug back into the original function to find the maximum value.

x = -b/2a = -(-12)/(2(-6)) = 12/-12 = -1

f(-1) = -6(-1)^2-12(-1)-1 = 5

Lisa [10]3 years ago
4 0
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At winds speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 100
alisha [4.7K]

Answer:

Lower limit = 1007.95 cm/s

Upper limit = 1142.05 cm/s

Step-by-step explanation:

We have to calculate a 95% CI with population's standard deviation known.

The sample is size n=60, with mean M=1075.

The confidence interval can be expressed as:

M-z*\sigma/\sqrt{n} \leq\mu\leq M+z*\sigma/\sqrt{n}

For a 95% CI, the value of z=1.96.

1075-1.96*265/\sqrt{60} \leq\mu\leq 1075+1.96*265/\sqrt{60} \\\\1075-67.05 \leq\mu\leq 1075+67.05\\\\ 1007.95 \leq\mu\leq 1142.05

8 0
3 years ago
What percent of 70 is 10.5? (write your answer as a percent) A) 10.5% Eliminate B) 11.0% C) 12.5% D) 15.0%
Roman55 [17]

Answer:

Option D) 15%

Step-by-step explanation: 10.5/70=  .15

.15x100=15

It would be easier to think it through if instead for 70 we took the number 100. Lets reword it and say what percent of 100 is 38? This would be easy to answer it would be 38% But how you check it is, you take 38 and divide by the total (100) which is .38 then multiply by 100 you will get 38% Same with your equation take the 10.5 and divide by the total amount which is 70 you will get .15 then multiply by 100. the answer will be 15%

7 0
3 years ago
Read 2 more answers
What is the vertex of the graph of y = −1(x − 2)2 + 3
Alona [7]

Vertex: \ (2,3)

<h2>Explanation:</h2>

The vertex form of the equation of a parabola is given by the following form:

f(x)=a(x-h)^2+k \\ \\ Where: \\ \\ a:Leading \ Coefficient \\ \\ (h,k):Vertex \ of \ the \ parabola

In this exercise, we have the following equation:

y=-(x-2)^2+3

From here, we can conclude that:

Leading \ coefficient: \ -1 \\ \\ Vertex: \ (2,3)

Since the leading coefficient is less than zero, the parabola open downward. So, the graph is shown below and the vertex has been indicated.

<h2>Learn more:</h2>

Finding leading coefficient: brainly.com/question/1469367

#LearnWithBrainly

7 0
3 years ago
3 years ago jolene bought 750 worth of stock worth the value has been increasing at an rate of 12/35% how much is te stock now
Artemon [7]
About 300 in stock stil
6 0
3 years ago
The following lists the joint probabilities associated with smoking and lung disease among 60-to-65 year-old men. Has Lung Disea
Anna71 [15]

Answer:

4.11% probability that he has lung disease given that he does not smoke

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Does not smoke

Event B: Lung disease

Lung Disease/Nonsmoker 0.03

This means that P(A \cap B) = 0.03

Lung Disease/Nonsmoker 0.03

No Lung Disease/Nonsmoker 0.7

This means that P(A) = 0.03 + 0.7 = 0.73

What is the probability of the following event: He has lung disease given that he does not smoke?

P(B|A) = \frac{0.03}{0.73} = 0.0411

4.11% probability that he has lung disease given that he does not smoke

5 0
3 years ago
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