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Reil [10]
3 years ago
15

What is the simplified base of the function f(x) = 1/4 3/108*x?

Mathematics
2 answers:
frozen [14]3 years ago
5 0

Answer:

The Option A. 3 is correct.

Step-by-step explanation:

The function is given to be :

f(x)=\frac{1}{4}(\sqrt[3]{108} )^x

Now, we need to simplify the above function in order to obtain the base simplified form of the given function f(x)

\implies f(x)=\frac{1}{4}\cdot (108)^{\frac{x}{3}}\\\\\implies f(x)=(27)^\frac{x}{3}\\\\\implies f(x)=(3^3)^\frac{x}{3}\\\\\implies f(x)=(3)^{3\times \frac{x}{3}}\\\\\implies f(x)=3^x

Hence, the base simplified form of the given function f(x) is 3

Therefore, The Option A. 3 is correct.

Zinaida [17]3 years ago
4 0
The Answer is B. 3 x 3/4
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Is 262015 divisible by 4?
eduard

Answer:

65503.75

Step-by-step explanation:

262015 divisble by 4 = 65503.75

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3 years ago
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Kiran and 3 of his friends are going to split the lunch bill of $24.48 how much will each person pay
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Answer:

Each person pays $6.12

Step-by-step explanation:

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3 0
3 years ago
Solve the system of equations y = 2x + 3 and 4x - 2y = -6 using a graphical method.
emmasim [6.3K]

Answer:

-1

Step-by-step explanation:

You are asked to solve this set by substitution. Note that the first equation defines

the value of y in terms of x. Therefore, you can use the right side of this equation

(2x + 3) as a substitution for y in the second equation. When you substitute 2x +3 for y

in the second equation, the result is:

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2x + 3 = 4x + 7

.

Let's set the goal of getting all the terms that contain x isolated on the left side of

the equal sign and all the constants by themselves on the right side. Begin by getting rid

of the +3 on the left side by subtracting 3 from the left side. But if you subtract

3 from the left side you must also subtract 3 from the right side. These subtractions

result in the following sequence:

.

2x + 3 - 3 = 4x + 7 - 3

.

Combining numbers on the left side and on the right side simplifies the equation to:

.

2x = 4x + 4

.

Now, in a similar fashion, let's get rid of the 4x on the right side by subtracting

4x from the right side. When we do this subtraction, to keep the equation in balance

we must also subtract 4x from the left side. This results in:

.

 

2x - 4x = 4x - 4x + 4

.

On both sides of the equation combine terms containing x to get:

.

-2x = 4

.

Finally, solve for x by dividing both sides of the equation by -2 because -2 is the multiplier

of x. This results in:

.

x = 4/-2 = -2

.

So now that we know x = -2, we can return to either one of the original equations  

in the equation set and substitute -2 for x. Then we can solve for y. Let's return

to the first equation and substitute -2 for x. This begins with:

.

y = 2x + 3

.

Then substituting -2 for x gives:

.

y = 2*(-2) + 3 = -4 + 3 = -1

7 0
2 years ago
I got to hurry so i kinda didnt have time
k0ka [10]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Pls help. I need it asap
Amiraneli [1.4K]

Answer:

18

Step-by-step explanation:

since the equation of AC is y=x-4 then the length of CB and AB must be the same. therefor its (6*6)/2

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2 years ago
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