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2 years ago

Find the inverse of this function. Show your steps.

Mathematics

1 answer:

Ipatiy [6.2K]2 years ago

3 0

Answer:

1cesrutherford and Global business is the next 3.some 7th round and 50th 3 7th round ♥ in my car is a

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Anyone girls bored an wanna do go ogle hangouts? Don't answer and say you don't because that is what the comments are for?

alukav5142 [94]

What is ogle hangouts?

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2 years ago

What is an equation of the line in point-slope form? How can the point-slope form be written in function notation?

harina [27]

The equation of a line in point slope form = $y - y_1 = m(x - x_1)$

To put $y - y_1 = m(x - x_1)$ into function notation, we need to get y by its self.
Lets say we had a point (2,2) and a slope of 3. Ok, now that we have our point and slope, lets turn point slope form into function notation.

$y - y_1 = m(x - x_1)$
$y - 2 = 3(x - 2)$
$y - 2 = 3x - 6$
$y = 3x - 6 + 2$
$y = 3x - 8$
Change the y to f(x)
$f(x) = 3x - 8$ <-----Function notation.

6 0

3 years ago

Are the expressions you developed in Part A and Part C the same? Why or why not?

pshichka [43]

Answer:

It is the same answer, Because b is the same as a but in fraction form, and c is the same as b but in improper fraction form, so that means they are the same answer

Step-by-step explanation:

3 0

2 years ago

What is the probability of not getting a blue<br> on this spinner? Be sure to reduce.<br> [?]

exis [7]

Answer:

5/8

Step-by-step explanation:

The probability of not getting blue can be found by dividing the number of sections that are not blue by the total number of sections.

P(not blue)= not blue / total

There are a total of 8 sections. 3 are blue, which leaves 5 that are not blue (1 yellow, 2 red and 2 green).

not blue= 5

total= 8

P ( not blue)= 5/8

This fraction cannot be reduced, therefore our answer is 5/8

6 0

2 years ago

The accompanying data on x = current density (mA/cm2) and y = rate of deposition (m/min)μ appeared in a recent study.

gtnhenbr [62]

Answer:

a) $r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857$

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

b) $m=\frac{64.5}{2000}=0.03225$

Now we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50$

$\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425$

$b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27$

So the line would be given by:

$y=0.3225 x -0.27$

Step-by-step explanation:

Part a

The correlation coeffcient is given by this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=4 $\sum x = 200, \sum y = 5.37, \sum xy = 333, \sum x^2 =12000, \sum y^2 =9.3501$

$r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857$

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

Part b

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=12000-\frac{200^2}{4}=2000$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=333-\frac{200*5.37}{4}=64.5$

And the slope would be:

$m=\frac{64.5}{2000}=0.03225$

Now we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50$

$\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425$

And we can find the intercept using this:

$b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27$

So the line would be given by:

$y=0.3225 x -0.27$

4 0

2 years ago