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PLEASE I NEED HELP!!! FIRST ANSWER IS BRANLIEST!!! Apply the distributive property to create an equivalent expression. 6(5x-3)

Answers

Answer 1
Answer:

Answer:

30x - 18

Step-by-step explanation:

6(5x - 3)

Apply the distributive property.

6(5x) + 6(-3)

30x + - 18
Answer 2
Answer:

Answer:

30x - 18 is your final answer

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I need help setting up this problem

Answers

R represents regular and F will represent recycled fibers. 
R + F = 27
46.99R + 61.99F = 1433.73 
This is how you would set the problem up to begin. Let me know if you need help from here!

PLEASE HELP!!!!Select the locations on the number line to plot the points 10/2 and -9/2

Answers

10/2=5 -9/2=-4.5. To solve the problem take the numerator divided by the denominator. so 10 divided by 2 would be 5.

Suri's age is 4 less than 3 times her cousin's age. Suri is 17 years old. Which method can be used to find c, her cousin's age?

Answers

Answer:

7 years

Step-by-step explanation:

Suri's age=17 years

Her cousin's age =c

Suri's age is 4 less than 3 times her cousin's age

4 less than 3 times her cousin's age means subtract 4 from 3 times her cousin's age

17=3c - 4

Find c which is her cousin's age

Add 4 to both sides

17+4=3c - 4 + 4

17+4=3c

21=3c

Divide both sides by 3

21/3=3c/3

7=c

Therefore,

C= 7

Her cousin's age = 7 years

C(X)=6X+600 marginal cost

Answers

Answer: 6

Step-by-step explanation:

Derivate C(x)=6x+600

C'(x)= d/dx (6x) + d/dx (600)

C'(x)= (6) + (0)

The graph of the function f(x) = x^2 will be translated 3 units up and 1 unit left. What is the resulting function g(x)?

Answers

Answer:  g(x) = (x + 1)² + 3

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k    where

  • "a" is the vertical stretch
  • -a is a reflection over the x-axis
  • h is the horizontal shift (positive = right, negative = left)
  • k is the vertical shift (positive = up, negative = down)

f(x) = x²

Given: 3 units up   -->   k = 3

           1 unit left    -->   h = -1

                     g(x) = (x + 1)² + 3

The translation of the graph of a function is one where the graph is moved to a different location on the plane that does not include a change in shape or rotation

The resulting function from the translation of the function f(x) = x², 3 units up and 1 unit left, g(x) = x² + 2·x + 4

The process by which the above value for g(x) is found is presented as follows:

The given function f(x) = x²

The vertical translation given to the function = 3 units up

The horizontal translation given to the function  = 1 unit left

The required parameter;

To find the resulting function g(x) that has results from the given translations

Solution:

A translation of a function y = f(x) vertically,k units upwards is the function y = f(x) + k

A translation of a function y = f(x) horizontally, k, units left, is the function y = f(x + k)

Therefore, we get

g(x) = f(x + 1) + 3 = (x + 1)² + 3 = x² + 2·x + 4

g(x) = x² + 2·x + 4

Learn more about translation of functions here:

brainly.com/question/17435785

A researcher wanted to determine the prevalence of type 2 diabetes among persons living with HIV in Ojai, a small town in California. He developed a survey questionnaire and mailed to 600 residents of Ojai. The survey asked participants several questions including whether their doctor or health care professional ever told them that they had diabetes. All 600 residents completed the survey and the researcher considered their sample a random sample of the 2,500 total residents of 3 Ojai. The following data was compiled from the survey. The prevalence of diabetes in the sampled survey was 6%. The researcher wanted to compare the prevalence of diabetes by smoking status. In their survey, they found that among 230, who were smokers, 157 reported diabetes and among the remaining nonsmokers, 50 reported diabetes. Construct a two by two table using the data given above. Be sure to label the cells and margins.
Diabetes
Yes No
Smoking Yes a b
No с d
Total

Answers

Answer:

Step-by-step explanation:

Given that:

There are 600 residents in the survey.

And results gathered identify that among 230 who were smokers, 157 are reported to have diabetes and among the remaining nonsmokers, 50 reported diabetes.

The objective is to construct a two by two table from the given data:

                       Diabetes

                    Yes                   No                          Total

Smoking  

Yes                  157                   230 - 157

                                               =  73                       230

No                     50                  370 - 50               600 - 230

                                               =  320                    = 370

Total              157 + 50             320+ 73

                      = 207                  = 393                    600
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