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2 years ago

For the function find f-1(x)

Mathematics

2 answers:

Svetach [21]2 years ago

8 0

The answer is C. i know because i looked it up

Mkey [24]2 years ago

6 0

since you know that to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solve for "y".

$\stackrel{f(x)}{y}=\sqrt[3]{\cfrac{x+6}{2}}\implies \stackrel{\textit{quick switcheroo}}{x=\sqrt[3]{\cfrac{y+6}{2}}}\implies \stackrel{\textit{cubing both sides}}{x^3=\cfrac{y+6}{2}} \\\\\\ 2x^3=y+6\implies 2x^3-6=\stackrel{f^{-1}(x)}{y}$

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A triangle undergoes a sequence of transformations. First, the triangle is dilated by a scale factor of 1/2 about the origin. Th

andrezito [222]

The triangle will still be similar to the original triangle.
Those transformations altered the position and scale of the triangle, but the angle measures are still the same.

7 0

3 years ago

Read 2 more answers

Why is isolating the y-variable to graph is important

dusya [7]

Answer:

It is the easiest way to graph an equation.

Step-by-step explanation:

Isolating the y variable is also slope-intercept form.

Slope intercept form is the easiest form to use when graphing.

y = mx + b

m is the slope, b is the y-intercept.

it makes it way easier to graph an equation when it is in slope intercept form.

I hope that helps! =)

6 0

3 years ago

Write an equation of the line that passes through (2, -3) and is perpendicular to the line y=-2x-3

Natalija [7]

Answer:

$y=\frac{1}{2} (x-2)-3$ or $y=\frac{1}{2} x-4$

Step-by-step explanation:

The perpendicular slope is the opposite-reciprocal of the original slope:

Perpendicular slope of -2 is $\frac{1}{2}$

Write the equation in point-slope form ( $y=a(x-h)+k$ ):

$y=\frac{1}{2} (x-2)-3$

Convert to slope-intercept form if needed:

$y=\frac{1}{2} x-1-3$

$y=\frac{1}{2} x-4$

8 0

3 years ago

Read 2 more answers

The formula is m=4a+2c where c is the number of children, m=the number of meatballs, a=number of adults.

Trava [24]

Answer:

110

Step-by-step explanation:

m = 4a + 2c

a = 25, c = 5

m = 4(25) + 2(5)

m = 100 + 10

m = 110 meatballs

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3 years ago

A study of the number of business lunches that executives in the insurance and banking industries claim as deductible expenses p

gizmo_the_mogwai [7]

Answer:

$t=\frac{9.1-8}{\sqrt{\frac{(1.9)^2}{40}+\frac{(2.1)^2}{50}}}}=2.604$

$p_v =2*P(t_{(88)}>2.604)=0.0108$

So the p value is a very low value and using any significance level for given $\alpha=0.05$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and there is enough evidence to conclude that the two means are significantly different at 5%

Step-by-step explanation:

Data given and notation

$\bar X_{1}=9.1$ represent the mean for the sample 1

$\bar X_{2}=8$ represent the mean for the sample 2

$s_{1}=1.9$ represent the sample standard deviation for the sample 1

$s_{2}=2.1$ represent the sample standard deviation for the sample 2

$n_{1}=40$ sample size for the group 1

$n_{2}=50$ sample size for the group 2

t would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the mean are different , the system of hypothesis would be:

Null hypothesis: $\mu_{1} = \mu_{2}$

Alternative hypothesis: $\mu_{1} \neq \mu_{2}$

If we analyze the size for the samples both are higher than 30 and the population deviations are not given, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}$ (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

We can replace in formula (1) the results obtained like this:

$t=\frac{9.1-8}{\sqrt{\frac{(1.9)^2}{40}+\frac{(2.1)^2}{50}}}}=2.604$

Statistical decision

The first step is calculate the degrees of freedom, on this case:

$df=n_{1}+n_{2}-2=40+50-2=88$

Since is a bilateral test the p value would be:

$p_v =2*P(t_{(88)}>2.604)=0.0108$

3 0

3 years ago