The function f(x)= x^2 -4 is translated 3 units to the right to create function g(x). What is g(9)?

Answers

Answer 1
Answer:

Answer:

g(9) = 32

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then shift to the left of a units

• If a < 0 then shift to the right of a units

Here f(x) is translated 3 units right, thus

g(x) = (x - 3)² - 4, hence

g(9) = (9 - 3)² - 4 = 6² - 4 = 36 - 4 = 32


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12a+9b=k (2a+3/2b) Which value of k makes the equation true? 1) 62) 2 3) 34) 4
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Hey guys I need some answers I already have answers but I'm not sure and I don't want to ask my teachers because I want it to be perfect you know I'm top 5 of my class and I losing it rn huhu or don't just give the answer just advice but both will be great

Answers

Answer:

30) A

31) Joe

Step-by-step explanation:

30) There are 3 months that begin with J and none a a month begining with  M afterwards therefore there is no posibility

January, February

June, July

July, August

31) Order in height

Joe -Tallest

David

Alex

Mark

Sam

Answer:

29. 29° C

30. A

31. Sam is the tallest

How to write out 314,207

Answers

three hundred fourteen thousand, two hundred seven. hope this helps
three hundred fourteen thouthand two hundred seven

How many inches are in 5 1/2 yards

Answers

How many inches are in 5(1)/(2) yards?
There are 3 feet in a yard
There are 12 inches in a foot
5 (1)/(2) = (11)/(2)
You must multiply (11)/(2) yards by feet
(11)/(2)×(3)/(1)=(33)/(2)
You must multiply (33)/(2) by inches per foot
(33)/(2)×(12)/(1)=(396)/(2)
You must divide the numerator(top) by the denominator(bottom) to simplify
396÷2=198
There are 198 inches in 5 (1)/(2) yards

the ratio of boys to girls at the movie is 4:7. If there are 21 girls, how many boys are at the movie?

Answers

boys:girls=4:7\n\ngirls=21\n\ntherefore\n\nboys:21=4:7\n\n(boys)/(21)=(4)/(7)\ \  \ \ \ |cross\ myltiply\n\n7\ boys=4*21\n\n7boys=84\ \ \ \ \ |divide\ both\ sides\ by\ 7\n\nboys=84:7\n\n\boxed{boys=12}
7x=21\nx=3\n\n4x=4\cdot3=\boxed{12}

There is a relationship between the shaded part of each design and the unshaded part. Describe this relationship.

Answers

the Shaded part represents what you are using or what is being used and the unshaded part represents what is left over or is not being used. or vice versa which means the other way around.

Answer if you look at the Shaded part you can tell that your using those parts and if you look at the blank part you're not using those parts hope this helps


Take 4a - 3b + 2c from 2a - 3b + 4c.

-2a + 2c
-2a - 2c
2a + 2c
2a - 2c

Answers

Answer:

Option 1 -2a+2c

Step-by-step explanation:

To find :  Take 4a - 3b + 2c from 2a - 3b + 4c.

Solution :

The equation 4a - 3b + 2c ....(1)

2a - 3b + 4c ....(2)

Taking (1) from (2) means subtracting equitation (2) from (1),

i.e =(2a - 3b + 4c)-(4a - 3b + 2c)

=2a - 3b + 4c-4a+3b-2c

=-2a+2c

So, Taking  4a - 3b + 2c from 2a - 3b + 4c is -2a+2c

Therefore, Option 1 is correct.

2a-3b+4c-(4a-3b+2c)
=2a-3b+4c-4a+3b-2c
=-2a+2c