Solve the Following Proportions<br> 16/28=x/35<br> X=

f(x) = x2 – 3x – 2 is shifted 4 units right. The result is g(x). What is g(x)?g(x) = (x + 4)2 – 3x – 2 B. g(x) = (x + 4)2 – 3(x

arlik [135]

Hello from MrBillDoesMath!

Answer:

Choice C

Discussion:

We interrupt this Question by a special commercial announcement..... Consider the simpler case of f(x) = x^2. If we shifted this curve 4 units to the right, then the point x is mapped to x-4. (f(0) = 0 on the original curve; now f(x-4) = 0 when x =4. So shifting to the right replaces x by x-4.) Now back to our regular TV programming....

Shifting f(x) = x^2 -3x - 2 four units to the right produces

g(x) = f(x-4) = (x-4)^2 -3(x-4) -2

This is choice C.

Thank you,

MrB

7 0

3 years ago

What is an equation of the line that is perpendicular to y-3 =-4(x+2)

serg [7]

Answer:

$y - 3 = \frac{1}{4}(x+2)$ or choose any line with slope 1/4

Step-by-step explanation:

The slope of this line is -4. The slope of the line perpendicular to this line will be the negative reciprocal or 1/4.

Write the equation using the slope m=1/4 and the point slope form.

$y-y_1=m(x-x_1)\\y-3=\frac{1}{4}(x+2)$

This is the equation of the line that is perpendicular and passes through the same point (-2,3) as the equation listed.

5 0

3 years ago

Read 2 more answers

6x – 2y = 10 2x + 3y = 51 Solving the first equation above for y gives: y = x – 5

Virty [35]

Answer:

Step-by-step explanation:

This is the method I am familiar with.

I Hope It helps :)

$METHOD- 1 : Elimination\\6x - 2y=10------(1)\\2x+3y =51------(2)\\Multiply -eq-(1)- by -the-coefficient-of-x-in-equation (2)\\Multiply-eq-(2) -by -the-coefficient-of-x-in-equation (1)\\6x - 2y=10------(1) *2\\2x+3y =51------(2)*6\\\\12x-4y=20 ------(3)\\12x+18y=306 ------(4)\\Subtract -eq- (4)- from- eq -(3)\\-22y =-286\\\frac{-22y}{-22} =\frac{-286}{-22} \\y =13\\$

$Substitute- 13- for y -in-equation -(1)-or-(2)\\6x - 2y=10------(1)\\6x -2(13)=10\\6x -26=10\\6x =10+26\\6x =36\\\frac{6x}{6} =\frac{36}{6} \\x =6$

6 0

3 years ago

Read 2 more answers

Please help Firts I need to write with a function <br>Second what is the answer

Orlov [11]

Answer:

Step-by-step explanation:

The answer is 48 hotdogs because 120 divided by $2.50 is 48

3 0

2 years ago

NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6.Suppose a sample of

olganol [36]

Answer:

The 85% confidence interval would be given by (0.261;0.319)

Step-by-step explanation:

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Data given

$X=150$ number of people who pass

$n=518$ random sample taken

$\hat p=\frac{150}{518}=0.290$ estimated proportion of people who black put at G forces greater then 6

$p$ true population proportion of people who black put at G forces greater then 6

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 85% of confidence, our significance level would be given by $\alpha=1-0.85=0.15$ and $\alpha/2 =0.075$ . And the critical value would be given by: