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2 years ago

Which of the following functions is graphed below

Mathematics

2 answers:

Lelechka [254]2 years ago

5 0

Calculate the function values for x = 2

$y=x^2+4\\\\for\ x=2\to y=2^2+4=4+4=8\to(2,\ 8)\\\\y=-x+4\\\\for\ x=2\to y=-2+4=2\to(2,\ 2)$

Look at the picture.

Answer:

$C.\ \left\{\begin{array}{ccc}x^2+4&.\ x$

ella [17]2 years ago

3 0

Answer:

Option C. is the correct option.

Step-by-step explanation:

There are two portions of the given graph. One is in the curved form and second is the straight line.

In the curved portion a Hollow point is given with x coordinate as 2 and the function value of f(2) = 8.

f(x) = $x^{2}+4$

f(2) = 4+4 = 8

And hollow point represents x < 2.

Similarly in the second portion of the graph which is in the form of a straight line, starting point is in the solid form which represents x ≥ 2.

The function value at x ≥ 2 is 2.

f(x) = -x + 4

f(2) = -2 + 4 = 2

Therefore Option C. is the correct answer.

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What are the solutions to. x^2 - x - 20 = 0

nignag [31]

Step-by-step explanation:

x² - x - 20 = 0

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x² - 5x + 4x -20 = 0

x ( x - 5) + 4 ( x - 5) = 0

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2 years ago

The speeds of vehicles traveling on a highway are normally distributed with an unkown population mean and standard deviation. A

Maksim231197 [3]

Answer:

The 90% confidence interval would be given by (60.09;69.91)

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X =65$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=9 represent the sample standard deviation

n=11 represent the sample size

2) Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=11-1=10$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,10)".And we see that $t_{\alpha/2}=1.81$