For each sample, do a test for zero correlation.

given the function f(x) = g(x-3)-2, describe transformation of f(x) on a coordinate plane relative to g(x).

Taya2010 [7]

Answer:

f(x) is obtained by translate g(x) 3 units to the right and 2 units down

Step-by-step explanation:

* Lets talk about the transformation of a function

- If the function f(x) translated horizontally to the right

by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left

by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up

by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down

by k units, then the new function g(x) = f(x) – k

* Lets study the problem and solve it

∵ f(x) = g(x - 3) - 2

- x-coordinate change from x to x - 3, that means

# x-coordinate is translated 3 units to the right

- y-coordinate change from y to y - 2, that means

# y-coordinate is translated 2 units down

∴ The transformation is:

translated 3 units to the right and 2 units down

* f(x) is obtained by translate g(x) 3 units to the right and 2 units down

6 0

3 years ago

James has a job with a current salary of $42,000. He wants to earn a college degree that will take him 2 years to complete and i

FinnZ [79.3K]

To recover the investment James will take $\boxed{2.5{\text{ years}}}.$

Further Explanation:

Given:

The current salary of James is $\$ 42000.$

The time taken to complete the college degree is $2{\text{ years}}.$

The cost of the college degree is $\$ 28000.$

The James’ new salary after college degree will be $\$ 56000.$

Calculation:

The total investment of James can be calculated as follows,

$\begin{aligned}{\text{Investment}} &= {\text{Salary of 2 years}} + {\text{2 years tuition fees}} \\&= 2 \times 42000 + 2 \times 28000\\&= 84000 + 56000\\&= \$ 140000\\\end{aligned}$

The total investment for 2 years will be $\$ 140000.$

The James’ new salary after college degree will be $\$ 56000.$

The time taken by James to recover $\$ 140000.$

$\begin{aligned}{\text{Time}} &= \frac{{140000}}{{56000}}\\&= 2.5{\text{ years}}\\\end{aligned}$

To recover the investment James will take $\boxed{2.5{\text{ years}}}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445
Learn more about range and domain of the function brainly.com/question/3412497
Learn more about profit and loss brainly.com/question/2479097

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Investment and return

Keywords: James, job, current salary, salary, $42000, earn, college, college degree, 2 years, complete, graduation, cost, $28000, per year, investment, recover, new salary, work, able, school, full time.

6 0

4 years ago

Read 2 more answers

What is the coefficient of the fifth term in (a + b)^9 ?

Margaret [11]

remember a coefficient is the number in front of the variable

the coefficient in the fifth term is 9 since 9 is a number.

8 0

3 years ago

Read 2 more answers

I need help someone please help me please

likoan [24]

Um, I think you have to find three pools near you and measure them to answer your question.

5 0

4 years ago

A line perpendicular to 3x + 2y = 18 has a slope of .

meriva

Answer:

2/3

Step-by-step explanation:

A line perpendicular to another line has a opposite reciprocal slope.

For example, if a line has a slope of 5, then the perpendicular line will have a slope of -1/5.

First, put the formula into slope intercept form:

3x + 2y = 18

2y = -3x + 18

y = -3/2x + 9

Because this line has a slope of -3/2, the perpendicular line will have a slope of 2/3.

4 0

3 years ago