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miskamm [114]
4 years ago
6

The function g(x) =x2+3. The function f(x)=g(x+2)

Mathematics
1 answer:
Elodia [21]4 years ago
6 0

f(x) = g(x + 2)                    Definition

g(x) = x^2 + 3                   Given  

g(x + 2) = (x + 2)^2 + 3     Substitute in g(x) ; make x into x + 2.

f(x) = x^2 + 4x + 4 + 3       expand

f(x) = x^3 + 4x + 7              Collect like terms

The answer is either

f(x) = (x + 2)^2 + 3 or

f(x) = (x^2 + 4x + 7)

Without choices, it's hard to tell which one it is.

Try the second one first.

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What are the terms in the expression 2x−4y+8 ?
vazorg [7]

Answer:

A. 2x, -4y, and 8

Step-by-step explanation:

If there is a minus sign in front of the 4 (-), add that to the expression. What you are just simply doing is separating the numbers up. For example:

12x - 8y + 4x

Now here, you have two of the same variables (x, y, etc). So, what you do is look at the last number that has the same variables, which is 4, and look at what the problem you will be solving, which is addition. So, very simply, you add then together!

12× + 4× = 16×

As you can see I kept the same variable. This is because, well, it is the same! Simply, just substitute in the 16× with the 8y. Now here is the tricky part, for some people. Do you see that there is a negative sign in front of the 8 (-)? Well! You have to substitute that in with the expression. No adding this or anything, just simply slide it next to the 16× because, we can not add nor subtract it with the 8y just because it has a different variable.

Your example answer would be: 16× - 8y

Hope this helps!

P.S. if you think this helped you at all, Brainliest me if ya want to. Have a great day!

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he Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers tak
WINSTONCH [101]

Answer:

30.5 ; 49 ; 27 ; 50 ; 45

Step-by-step explanation:

Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile

Given the ordered data :

13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82

Sample size, n = 30

The first quartile ;Q1

Q1 = 1/4(n+1)th term

Q1 = 31/4 = 7.75th term

Q1 = (29+32)/2

Q1 = 30.5

Q3 ;

Q3 = 3/4(n+1)th term

Q3 = 3(31)/4 = 23.25 th term

Q3 = (48 + 50) /2 = 49

2nd decile :

0.2 * (nth term

0.2 * 30 = 6th term = 27

8th decile :

0.8 * 30 = 24 th term

= 50

67th percentile :

0.67 * (n+1)th term

0.67 * 31 = 20.77

= (44 + 46) / 2

= 45

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