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3 years ago

Consider the quadratic function y = 1/5(x - 2)2 + 5.

Mathematics

2 answers:

stellarik [79]3 years ago

7 0

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Hunter-Best [27]3 years ago

3 0

Answer:

Step-by-step explanation:

There are no real roots and the graph contains point (2,5). Notice it is in vertex form. So there must be a point at x = 2 and y = 5. However, if it is the vertex and it opens upwards, that means it cannot intersect the x axis. So 2 and 4 are the correct answers I believe.

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Sidana [21]

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2 years ago

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A builder is building a fence with 6-inch-wide wooden boards, arranged side-by-side with no gaps. How many boards are needed to

Varvara68 [4.7K]

Answer:

25 wooden boards

Step-by-step explanation:

Given that:

Width of wooden board = 6 inches

Number of boards required to build a fence of 150 inches long if there are no gaps :

The lenght of fence / width of wooden board

= 150 inches / 6 inches

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3 years ago

The Internal Revenue Service (IRS) provides a toll-free help line for taxpayers to call in and get answers to questions as they

sukhopar [10]

Answer:

From the result of the one-tailed z-test, we can conclude that the mean waiting time is not significantly less than the the 15 minute claim by the taxpayer advocate.

Step-by-step explanation:

Sample size = 50

Mean waiting time = 13 minutes

Standard deviation = 11 minutes

We need to perform one hypothesis test that the actual mean waiting time turned out to be significantly less than the 15-minute claim made by the taxpayer advocate.

The null hypothesis would be that there is no significant difference.

H₀: μ₀ = 15 minutes

The alternative hypothesis would be that the mean waiting time is indeed significantly less than the 15-minute claim by the taxpayer advocate.

Hₐ: μ₀ < 15 minutes.

This is evidently a one tail hypothesis test (we're investigating only in one direction; less than the claim). Hence, we can use the z-test

z = (x - μ)/σₓ

σₓ = (σ/√n) = (11/√50) = 1.556

z = (13 - 15)/1.556 = - 1.29

Using the z-table at significance level of 0.05.

p-value = 1 - 0.9115 (from the z-tables)

p-value = 0.0885

Since the p-value is more than the significance level (0.0885 > 0.05), we do not reject the null hypothesis.

Hence, we accept the null hypothesis and can conclude that the mean waiting time is not significantly less than the the 15 minute claim by the taxpayer advocate.

Hope this Helps!!!

4 0

3 years ago

F(x) = 7x + 9, g(x) = 4x - 1;<br> Find (fºg)(x).

Oxana [17]

Answer: (fºg)(x) = 28x + 2

(Step-by-step explanation:

8 0

3 years ago

Daisy made bread. The equation B = 4f shows the number of loaves of bread baked based on the amount of flour used, where B is th

Fynjy0 [20]

Answer:

k=4

Step-by-step explanation:

-The constant of proportionality is defined as the ratio between two directly proportional variables.

-Given that B=4f

#The constant of proportionality is calculated as:

- the equation can be written in the form y=kx,

where y varies directly with x and k is the constant of variation:

$y=kx\\\\k=\frac{y}{x}\\\\\therefore B=4f\\\\\frac{B}{f}=4$

Hence, B varies directly with f with a constant of proportionality k=4

7 0

3 years ago