MATHEMATICS HIGH SCHOOL

Which of the following is the parent function of all absolute value functions?f(x) = 3x
f(x) = |x|
f(x) = 2|x|
f(x)=x^2

Answers

Answer 1
Answer: Hello, 

The parent function of all absolute value functions is the f(x) = |x|.
I'll explain why. 
f(x) = 3x is a linear function.
f(x) = 2|x| is an absolute value function, but it has a vertical stretch by a factor of 2, and we want to find the parent function, it needs to be in the most simplest form. 
f(x) = x² is a quadratic function.

So, the final answer is choice 2, f(x) = |x|. 
Answer 2
Answer:

Answer:

B

Step-by-step explanation:

I took the test

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What is the value of the expression below when y = 8 and z = 9?
5y – 2z

Answers

Answer:

\boxed {\tt 22}

Step-by-step explanation:

We are given the expression:

5y-2z

We want to find the value of the expression when y=8 and z=9. Therefore, we must substitute 8 in for y and 9 in for z.

5(8)-2(9)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Multiply 5 and 8.

40-2(9)

Multiply 2 and 9.

40-18

Subtract 18 from 40.

22

The value of the expression 5y-2z at y=8 and z=9 is 22.

Can someone help me please!!!Let N be the least postive integer whose digits sum to 2018. Compute the sum of the digits of N+1.

Answers

Answer: 3

Explanation:

Since we want the least number of integers, divide by the largest integer (9).

2018 ÷ 9 = 224 remainder 2

So, N = 2999...999 (there are 224 of the 9's)

Thus, N + 1 = 2999...999 + 1 (there are 224 of the 9's)

                  = 3000...000     (there are 224 of the 0's)

The sum of the digits is: 3 + 0 + ... + 0  (there are 224 of the 0's)

                                      = 3

Can you please help me with this

Answers

Answer:

#1 = 1/52  #2 = 4/52  #3 = 2/52  #4 = 13/52

Step-by-step explanation:

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The table shows the population of a school for the years 1992-2008. Year: 1992, 1994 1996, 1998, 2000, 2002, 2004, 2006, 2008 Population: 628, 656, 692,751, 793, 840 ,868, 902, 940 Which is the best prediction for the population in 2012?

Answers

Look for a pattern in how much the population increases every 2 years. Find the population growth for each year by subtracting the population from the previous year.

If f ( x ) f(x) is an exponential function where f ( − 3.5 ) = 25 f(−3.5)=25 and f ( 6 ) = 33 f(6)=33, then find the value of f ( 6.5 ) f(6.5), to the nearest hundredth.

Answers

Given:

f(x) is an exponential function.

f(-3.5)=25, f(6)=33

To find:

The value of f(6.5).

Solution:

Let the exponential function is

f(x)=ab^x         ...(i)

Where, a is the initial value and b is the growth factor.

We have, f(-3.5)=25. So, put x=-3.5 and f(x)=25 in (i).

25=ab^(-3.5)         ...(ii)

We have, f(6)=33. So, put x=6 and f(x)=33 in (i).

33=ab^(6)         ...(iii)

On dividing (iii) by (ii), we get

(33)/(25)=(ab^(6))/(ab^(-3.5))

1.32=b^(9.5)

(1.32)^{(1)/(9.5)}=b

1.0296556=b

b\approx 1.03

Putting b=1.03 in (iii), we get

33=a(1.03)^(6)

33=a(1.194)

(33)/(1.194)=a

a\approx 27.63

Putting a=27.63 and b=1.03 in (i), we get

f(x)=27.63(1.03)^x

Therefore, the required exponential function is f(x)=27.63(1.03)^x.

Gary bought an MP3 player at a 20% discount sale for $40. What was the original price of the MP3 player?

Answers

40*.20=8.00
40 - 8=32
answer32
hope you understand.
explain:]
40*.20=8
and second time i do ( - ) becouse they said 20% discount discount main is ( - )
so i do  ( - ) i think now you understand.
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