Consider the function represented by the equation 6c = 2p – 10. Write the equation in function notation, where c is the independent variable.

Answers

Answer 1
Answer:

we have

6c = 2p - 10

If c is the independent variable

then

p is the dependent variable

so

clear variable p

6c = 2p - 10

Divide by 2 both sides

3c = p - 5

Adds 5 both sides

3c+5 = p - 5 +5

p=3c+5

Write the equation in function notation

f(c)=3c+5

therefore

the answer is

the equation in function notation is equal to f(c)=3c+5

Answer 2
Answer: f(c)=3c+5 is the right answer

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What is the solution to the equation 9^(x - 2) = 27 ? x = 2.5/ x = 0.5/ x = -0.5 /x = 3.5

Answers

Answer:

x=3.5

Step-by-step explanation:

9^(x - 2) = 27

To solve for x , we need to make same base on both sides

9 can be written as 3^2

27 can be written as 3^3

9^(x - 2) = 27

[tex[](3^2)^{x - 2} = 3^3[/tex]

multiply the inside exponent with inside exponent

3^(2(x-2))= 3^3

Both sides have same base 3

so we equation the exponents

2(x-2)= 3

2x-4= 3

add 4 on both sides

2x=7

divide by 2 on both sides

x=(7)/(2) =3.5

To solve this question rewrite 27 as 3 to power 3. And 9 as 3 to power 2. Then distribute 2 in 3 to the power of 2 to the expression of (X-2). Cancel out 3 base at the end. Then set the equation 2x-4=3. Solving for X gives me 7/2 or 3.5.

Find d and all three sides

Answers

The triangles are congruent so 2d+10 and 45-3d are the same

So we have
2d+10=45-3d
5d+10=45
5d=35
d=7

Plug in:
2d+10=2(7)+10=14+10=24
45-3d=45-3(7)=45-21=24
d+8=7+8=15

This one to its alot

Answers

Chejxhebdhdhe r dhdhebdbdjsbd d euddhsbifif

Abe is hiding 12 meters south of Nathan and Jessica is hiding due east of Abe if Nathan is 20 meters from Jessica , how far apart are Abe and Jessica .

Answers

It would be 16 meters
This is because you have to visualize it as a right triangle. The hypotenuse is 20, and one side is 12. Take the square of each number and take the absolute value of the difference. Once you’ve done that, take the square root of that number.
This involves using the Pythagorean theorem, and you can subtract one part to find the other side

help ! Find the volume of cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth.( only numerical answers ! )

Answers

diameter(d)=8 in.
radius(r)= d/2= 4 in.
height(h)= 3r = 3(4) = 12 in.

Volume=\pi² h
           =
(3.14)(4)²(12)
           =(3.14)(16)(12)
           =602.88 in.
    
       Therefore, the volume of the cylinder is 602.88 in.


A survey was taken of 44 people to see if they have a cat and/or a dog. The results are shown in the Venn diagram.Enter your answers in the boxes to complete the two-way table based on the given data.
Have a cat Dont have a cat Total
Have a dog ______ ___________ ____
Don't Have a dog ____ __________ ____
Total _____ ___________ ____

Answers

17 people have a cat

15 people do not have a cat.

21 people have a dog

11 peopledo not have a a dog.

44 is the total number of people.

What is a Venn-diagram?

'A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationshipsbetween two or more sets of items.'

According to the given problem,

In a Venn-diagram, the number of people in the orange circle owns cats and those in the blue circle owns dogs.

Now, the number of people in the over-lapping area owns both cats and dogs.

Therefore,

11 people own just cats.

6 people own cats as well as dogs.

Total number of cat-owners = ( 11 + 6 )

                                               = 17

15 people own just dogs

6 people own dogs and cats.

Total number of dog-owners = (15 + 6)

                                                = 21

Hence, we can conclude, the number of cat owners being 17 and the number of dog-owners being 21.

Learn more about Venn-diagram here: brainly.com/question/15132223

#SPJ2

Answer: Ok im going to try to make this easy the first box is (6) the other box next to it will be (15) then the third box with be(21) and so on........

{(6)(15)(21)}

{(11)(12)(23)}

{(17)(27)(44)}

I hope this helped ☺☻♥