Identify the function that contains the data
Identify the function that contains the data - 1

Answers

Answer 1
Answer:

Answer:

Option D is correct.i.e., f(x) = | x - 2 | + 1

Step-by-step explanation:

Function which satisfy the given data is our Ans.

So, we check for all functions.

Option A : f(x) = |x| + 1

put, x = -2

we get, f( -2 ) = |-2| + 1 = 2 + 1 = 3 ≠ 5

f ( -2 ) is not equal to given value of f ( -2 ).

Thus, This is not function of given data.

Option B : f(x) = | x-2 |

put, x = -2

we get, f( -2 ) = | -2 - 2 |  = | -4 | = 4 ≠ 5

f ( -2 ) is not equal to given value of f ( -2 ).

Thus, This is not function of given data.  

Option C : f(x) = | x-2 | - 1

put, x = -2

we get, f( -2 ) = | -2 - 2 | - 1  = | -4 | - 1 = 4 - 1 = 3 ≠ 5

f ( -2 ) is not equal to given value of f ( -2 ).

Thus, This is not function of given data.  

Option D : f(x) = | x-2 | + 1

put, x = -2

we get, f( -2 ) = | -2 - 2 | + 1  = | -4 | + 1 = 4 + 1 = 5

f ( -2 ) is  equal to given value of f ( -2 ).

put, x = 0

we get, f( 0 ) = | 0 - 2 | + 1  = | -2 | + 1 = 2 + 1 = 3

f ( 0 ) is  equal to given value of f ( 0 ).

put, x = 2

we get, f( 2 ) = | 2 - 2 | + 1  = | 0 | + 1 = 0 + 1 = 1

f ( 2 ) is  equal to given value of f ( 2 ).

put, x = 3

we get, f( 3 ) = | 3 - 2 | + 1  = | 1 | + 1 = 1 + 1 = 2

f ( 3 ) is  equal to given value of f ( 3 ).

put, x = 5

we get, f( 5 ) = | 5 - 2 | + 1  = | 3 | + 1 = 3 + 1 = 4

f ( 5 ) is  equal to given value of f ( 5 ).

Thus, This is function of given data.  

Therefore, Option D is correct.


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Answers

2/3 because 8/12 divided down is 4/6 which reduced again is 2/3
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How are exponents and powers different?
(DON'T GOOGLE IT!)

Answers

Answer:

The power is larger than the exponet

Step-by-step explanation:

A power is the product of multiplying a number by itself. A power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied.

Caley has a bag that contains 9 blue marbles and 13 yellow marbles. She selects a marble at random, and then, without replacing the first one, selects another marble at random. What is the probability that Caley selects a blue marble and then a yellow marble? Round your answer to the nearest percent. P(blue and yellow) ≈ %

Answers

The answer would be 24%.

You need to multiply the probabilities of each of those circumstances occurring separately (9/22 for choosing a blue one and 13/22 for choosing a yellow one) in  order to find the probability of them happening in a row.

9/22 * 13/22 * 100% ~ 24%

I need help with 2 things.Thing 1
The fuel for a chain saw is a mix of oil and gasoline. The label says to mix 6 ounces of oil with 16 gallons of gasoline.

A. How much oil would you use if you had 32 gallons of gasoline?

B. Set up a proportion to use in solving this problem.

Thing 2

A. EXPLAIN how to set up a proportion and then

B. solve the problem below.


A recipe calls for 9 tablespoons of milk for every 21 cups of flour. If the chef puts in 168 cups of flour, how many tablespoons of milk must the chef add?

Answers

Thing 1
A: If you use 32 gallons of gasoline you have to use 12 ounces of oil.
B: 6/16 and x/32. You would then cross multiply. 


1A=12 oz
1B=16×2=32 6×2=12
32÷16=2
Since 32÷16=2 then you have to multiply 6 and 2 to get your answer which is 12oz

Jeremiah created the ratio 5:13 from the table.what is he comparing

Answers

Where is the table. You need the table to do it

The graph of a proportional relationship contains the point (20, 4).What is the corresponding equation?
Enter your answer as a fraction in simplest form in the box.

y =  x

Answers

Answer:

y=(1)/(5)x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

point (20,4)

Substitute the values and solve for k

k=y/x

k=(4)/(20) =(1)/(5)

therefore

the equation of the line is equal to

y=(1)/(5)x


Answer:

y = (1)/(5)x

Step-by-step explanation:

Direct proportionality states:

if y \propto x

then, the equation is in the form of:

y = kx ......[1] where, k is the constant of proportionality.

As per the statement:

The graph of a proportional relationship contains the point (20, 4).

Substitute these point in [1] we have;

4 = 20x

Divide both sides by 20 we have;

(1)/(5) = k

or

k=(1)/(5)

Therefore, the corresponding equation is:

y = (1)/(5)x