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2 years ago

Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Check all that apply.

Mathematics

2 answers:

erastovalidia [21]2 years ago

8 0

Answer:

Step-by-step explanation:

The first statement, the fourth statement, and the fifth statement are true. The others are not.

In vertex form, looking at the first statement, you can see that the vertex is located at (4, -11), NOT (-8, 5)

The (x - 4)^2 binomial gives you the axis of symmetry, which is x = 4, NOT x = 5.

Kobotan [32]2 years ago

6 0

Answer:

The first statement, the fourth statement, and the fifth statement are true.

Step-by-step explanation:

You might be interested in

Select the correct answer.<br> Which decimal number is the same as 2/9?

stich3 [128]

Answer:

0.22222222

Step-by-step explanation:

The decimal form of $\frac{2}{9}$ is 0.22222222.

3 0

3 years ago

Assume that the following data were generated using a valid and appropriate methodology. XYZ Data Analytics, Inc. Received prope

Hitman42 [59]

Using the z-distribution, as we are working with a proportion, the 95% confidence interval for the proportion of consumers who would buy the product at it's proposed price is (0.3016, 0.3830).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

179 out of 523 members indicated they would buy the new product at the proposed price, hence:

$\pi = \frac{179}{523} = 0.3423$

Then the bounds of the interval are found as follows:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 - 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3016$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 + 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3830$

More can be learned about the z-distribution at brainly.com/question/25890103

4 0

2 years ago

Complete the proof to show that ABCD is a parallelogram.

LuckyWell [14K]

In the proof given, BC║AD and CD║BA because: B. slopes of opposite sides are equal.

<h3>What is the Slope of Parallel Lines?</h3>

If two lines are parallel, they will have the same slope value,.

Slope = rise/run.

Slope of BC = rise/run = -2/5

Slope of AD = -2/5

Slope of BA = rise/run = -6/1 = -6

Therefore, we can conclude that BC║AD and CD║BA because: B. slopes of opposite sides are equal.

Learn more about the slope of parallel lines on:

brainly.com/question/10790818

#SPJ1

6 0

2 years ago

Ms. O’Grady has 6 1/8 gallons of paint. She needs 1 2/5 gallons to paint each wall in her house. How many complete walls can Ms.

guajiro [1.7K]

Answer: 4 walls

Step-by-step explanation: We know that Ms. O'Grady has approximately 6 1/8 gallons of paint, and needs 1 2/5 gallons per wall she paints. Key words like "per" and "each" tells us that we need to divide these two numbers. However, we run into one problem: the two fractions have 2 different denominators (the number on the bottom of the line) But don't fret! There is an easy fix to this: Multiply the fractions so they match.

In order to do this, we need to find the least common multiple of the numbers 8 and 5. A simple way of doing this is muliplying the numbers together: 8x5=40. Therefore, we need to change our fractions so both denominators equal 40.

1/8 x 5/5 = 5/40

2/5 x 8/8 = 16/40

Now that we have our fractions writen in much simpler terms, we need to add the coefficients to them.

6 + 5/40 = 245/40

1 + 16/40 = 56/40

Now, we divide 245 by 56, which gets us 4 15/40, which can be simplified to 4 3/8. However, Ms. O'Grady can only paint 4 ENTIRE walls. The 3/8 does not matter in this scenario because she can only paint 3/8 of the wall. Therefore, your answer is 4. I hope this helps. :)

7 0

3 years ago

What is the slope of line segment jk

pshichka [43]

Rise/run = -5/9

the answer is -5/9

7 0

3 years ago