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3 years ago

What is the inverse of the function f(x) = 2x - 10?

Mathematics

1 answer:

Oxana [17]3 years ago

3 0

Answer:

h(x) = 1/2x + 5

Step-by-step explanation:

Switch the positions of the x and y (f(x)) and solve for y (f(x)).

f(x) = 2x - 10

x = 2y - 10

x + 10 = 2y

(x + 10)/2 = y

1/2x + 5 = y

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DONT SKIP HELP PLZZZZZZZZZZZZZ

ycow [4]

Option D: The distance between the two points is 13 units

Explanation:

It is given that the two points are $(-5,-2)$ and $(8,-3)$

We need to determine the distance between the two points.

It is also given that the distance between the two points can be determined using the formula,

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substituting the points $(-5,-2)$ and $(8,-3)$ for the coordinates $(x_1,y_1)$ and $(x_2,y_2)$

Thus, we get,

$d=\sqrt{(8-(-5))^2+(-3-(-2))^2}$

Simplifying, we have,

$d=\sqrt{(8+5)^2+(-3+2)^2}$

Adding the terms, we get,

$d=\sqrt{(13)^2+(-1)^2}$

Squaring the terms, we have,

$d=\sqrt{169+1}$

Adding the terms, we get,

$d=\sqrt{170}$

Simplifying and rounding off the value to the nearest tenth, we have,

$d=13.0 \ units$

Hence, the distance between the two points is 13 units.

Therefore, Option D is the correct answer.

6 0

3 years ago

Alan, Bill, and Calvin are playing a game with collectible cards. At the moment, Alan has 11 less than times the number of cards

Mama L [17]

a=2.5b-11, c=1.5b+1, and a=c so

2.5b-11=1.5b+1

b=12 so a=19 and c=19

so a+b+c=50

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3 years ago

Solve for x: 600 x + 124 Just enter the number.

Kryger [21]

Answer: -4. Reasoning: We are trying to get the angle of both lines to equal 180. If you add 60+124 together to see how much we have currently, your answer comes up to 184. That’s 4 over what we need, therefore, -4 would be needed to bring the current amount back down to 180.

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3 years ago

What is the value of 1 in the number 153732991

dimulka [17.4K]

It is either in the ones place or the hundred millions place

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3 years ago

Read 2 more answers

The authors of a paper describe an experiment to evaluate the effect of using a cell phone on reaction time. Subjects were asked

Serggg [28]

Answer:

a) The 99% confidence interval would be given by (24.409;24.979)

b) n=464

Step-by-step explanation:

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".

Part a

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:

$df=n-1=47-1=46$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,46)".And we see that $t_{\alpha/2}=2.01$