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3 years ago

Suppose f(x) = mx + b. What is the inverse function in terms of m and b?

Mathematics

1 answer:

katrin2010 [14]3 years ago

7 0

Answer:

f^(-1)(x) = (x-b)/m or x/m - b/m

Step-by-step explanation:

f(x) = y = mx + b

To find the inverse function, interchange x and y and solve for y, i.e.

x = my + b

my = x-b

y = (x-b)/m = x/m - b/m

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Question#1 Please simplify..

riadik2000 [5.3K]

Hey there,
6x + 5 (x-2)
6x + 5x - 10
11x - 10

3x - 5 - x + 9
3x - x - 5 + 9
2x + 4

3a + 5 - 8a + 1
3 (-1) + 5 - 8(-1) + 1
-3 + 5 + 8 + 1
11

Hope this helps :))

<em>~Top♥</em>

5 0

3 years ago

In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study

DIA [1.3K]

Answer:

$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

The p value can be calculated from the alternative hypothesis with this probability:

$p_v =2*P(Z>2.055)=0.0399$

And the best option for this case would be:

C. between 0.01 and 0.05.

Step-by-step explanation:

Information provided

$X_{1}=1642$ represent the number of smokers from the sample in 1995

$X_{2}=1415$ represent the number of smokers from the sample in 2010

$n_{1}=4276$ sample from 1995

$n_{2}=3908$ sample from 2010

$p_{1}=\frac{1642}{4276}=0.384$ represent the proportion of smokers from the sample in 1995

$p_{2}=\frac{1415}{3908}=0.362$ represent the proportion of smokers from the sample in 2010

$\hat p$ represent the pooled estimate of p

z would represent the statistic

$p_v$ represent the value for the pvalue

System of hypothesis

We want to test the equality of the proportion of smokers and the system of hypothesis are:

Null hypothesis: $p_{1} = p_{2}$

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

The statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1642+1415}{4276+3908}=0.374$

Replacing the info given we got:

$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

The p value can be calculated from the alternative hypothesis with this probability:

$p_v =2*P(Z>2.055)=0.0399$

And the best option for this case would be:

C. between 0.01 and 0.05.

7 0

3 years ago

Explain how both are correct./ bc I have the answer but I didn’t explain

Rudik [331]

They are both correct becuase lets say it was a shirt that was $30 and it was 30% off. For Jasani it would be 30 * 0.7 which equals $9 then you would subtract this 30 - 9 = 21. For Hanna it would be 30 - 0.3(30) which equals $21. So in the end they are both correct!

5 0

3 years ago

Write a rational equation that relates the desired percentage to the amount of % acid solution that needs to be added to liter o

mart [117]

This question is incomplete

Complete Question

Write a rational equation that relates the desired percentage p, to the amount A of a 30% solution that needs to be added to 1 liter of 10% acid solution to make a blend that is p% acid, where 0<p<100 . What is a reasonable restriction on the set of possible values of ? Explain your answer.

Answer:

100(0.1 + 0.3A)= (1 + A) P

Step-by-step explanation:

A of a 30% solution that needs to be added to 1 liter of 10% acid solution to make a blend that is p% acid,

Hence,

10% of 1 + 30% of A = p%(1 + A)

0.10 + 0.3A = (p/100)(1 + A)

Divide both sides by 1 + A

0.1 + 0.3A/ 1 + A = p/100

Cross Multiply

100(0.1 + 0.3A) = 1 + A(p)

From the above calculation, we can see that, the blend that would be formed is not lower than 10% or greater than 30%

10% < p< 30%

8 0

3 years ago

PLEASEEE I NEED HELPPP!!!!

taurus [48]

Answer:

#carry on learning

mark me as brainliest

Find a point-slope form for the line that satisfies the stated conditions. Slope , passing through (-5,4)

I really need this question answered

By:

I don't see a value for the slope. We need that to set the equation, otherwise I can write an unlimited number of equations that pass through (-5,4).

I'll assume a slope so that you can see how the procedure would work. I like 6, so we'll assume a slope of 6.

The equation for a straight line has the form y = mx + b, where m is the slope and y is the y-intercept, the value of y when x = 0. We want a line that has slope 6, so:

y = 6x + b

We need to find b, so substitute the point (-5,4) that we know is on the line:

4 = 6*(-5) + b and solve for b

4 = -30 + b

b = 34

The line is y = 6x + 34

4 0

3 years ago