Help me!!! I will mark brainliest!!!

Write the equation of the graph obtained when the graph of y=1/x is compressed vertically by a factor of 0.25, translated 4 unit

Shtirlitz [24]

Answer: The equation is y = 0.25/(x - 4) + 3

Step-by-step explanation:

If we have a function y = f(x)

A compression means that we multiply the function by a factor smaller than 1.

Then the vertical compression by a factor of 0.25 is:

y = 0.25*f(x)

a translation by A units to the right, means that we need to valuate the function in x - A.

So now we have:

y = 0.25*f(x - 4)

A translation in the y-axis means that we need to add a constant to the equation, then if we tralate it by 3 units up, we have:

y = 0.25*f(x - A) + 3

Then, if f(x) = 1/x

Our new equation is:

y = 0.25/(x - 4) + 3

8 0

3 years ago

Read 2 more answers

A snack food manufacturer buys corn for tortilla chips from two cooperatives, one in Iowa and one in Illinois. The price per uni

aleksandrvk [35]

Answer:

a. x1 = No. of units to purchase from Iowa

x2 = No. of units to purchase from Illinois

b. Min 6x1 + 5.5x2

c. x1 + x2 ≥ 12000

x1 ≤ 8000

x2 ≥ 6000

Step-by-step explanation:

a. We can consider the variables x1 and x2 as:

x1 = No. of units to purchase from Iowa

x2 = No. of units to purchase from Illinois

b. Price per unit of Iowa corn = $6

Price per unit of Illinois corn = $5.5

Objective function that would minimize the total cost can be written as:

Min 6x1 + 5.5x2

c. The manufacturer needs at least 12000 units of corn which means that the combined number of units from Iowa and Illinois must be greater than or equal to 12000. So, we can write:

x1 + x2 ≥ 12000

The Iowa cooperative can supply up to 8000 units which means that the value of x1 must not be greater than 8000. So, we can write:

x1 ≤ 8000

Similarly, the Illinois cooperative can supply at least 6000 units which means that the value of x2 must not be less than 6000. So, we can write:

x2 ≥ 6000.

The constraints for these conditions are:

x1 + x2 ≥ 12000

x1 ≤ 8000

x2 ≥ 6000

6 0

2 years ago

A random sample of 8 recent college graduates found that starting salaries for architects in New York City had a mean of $42,653

ycow [4]

Answer:

C. (36337.32, 48968.68)

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{9114}{\sqrt{8}} = 6315.68$

The lower end of the interval is the sample mean subtracted by M. So it is 42653 - 6315.68 = 36337.32.

The upper end of the interval is the sample mean added to M. So it is 42653 + 6315.68 = 48968.68.

So the correct answer is:

C. (36337.32, 48968.68)

3 0

3 years ago

Complete 5 A,B for 10 points.

lakkis [162]

Answer:

y = (C-Ax) /B and x = (C-By)/A

Step-by-step explanation:

y

By = C-Ax

y = (C-Ax)/B

x

Ax = C-By

x = (C-By)/A

8 0

3 years ago

16=5y/3 HELLLPPP PLSSSS

Lunna [17]

Answer:

y = 9.6

Step-by-step explanation:

mark brainliest

4 0

2 years ago