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BartSMP [9]
4 years ago
9

Are the expressions below equivilent? 3(4x + 8) 12x + 24

Mathematics
1 answer:
Black_prince [1.1K]4 years ago
4 0
Yes because 3*4x is 12x and 3*8 is 24 so you would get 12x+24
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What is the inverse of the function of (x)=2^(x)+6
Elden [556K]

Answer:

Option D.

Step-by-step explanation:

To find the inversion of a function follow the following procedure

1) Replace x with y in the function and clear y

y=2^{(x)} + 6 ------>  x = 2^{(y)}+ 6

x-6 = 2^y

y = log_2(x-6)

2) Check. The range of f(x) is the domain of f^{-1}(x).

So if f(a) = b, this means that f^{-1}(b) = a.

f(2) = 2^2+ 6 = 10

f^{-1}(x) = log_2(10-6) = 2

Is fulfilled. Therefore y=log_2(x-6) is the inverse of f(x) = 2^{(x)} +6

7 0
3 years ago
A debt of $12,000 with interest at 5% compounded monthly is to be repaid by equal payments at the end of each year for three yea
malfutka [58]

Answer:

  3.75 years

Step-by-step explanation:

If the debt is to be paid in 3 years, 9 months, then the term of the loan is ...

  3 9/12 = 3 3/4 = 3.75 . . . years

5 0
3 years ago
HOW MANY TENTHS IN 100!!!!!!! PLEASE
valina [46]
10.,.............................
3 0
3 years ago
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A cone and a cylinder have congruent height and base bases. The volume of the cone is 18m squared. What's the volume of the cyli
zzz [600]
Short answer 3 times as much = 54 m^3 <<<<< answer

The volumes are krelated by k So solve for k

Volume of Cylinder = k Volume of the cone.
pi r^2 h = k(1/3 pi r^2 h)  Since you know that r is the same in both and so is h they divide out.
divide by h
pi r^2  = k (1/3 pi r^2 Divide by pi
r^2 = k (1/3 r^2 ) Divide by r^2
1 = k (1/3) multiply by 3
3 = k

The volume will be 3 times as much.as the cone.
3 * 18 = volume of cylinder.
54 <<<< volume of cylinder.


8 0
3 years ago
Write in numeric form. Nine hundred thirty six and twelve hundredths
4vir4ik [10]
That would be... 936.12
3 0
3 years ago
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