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DaniilM [7]
3 years ago
14

Simplify (x⁴)³ ??????

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
3 0

Rule:

(xᵃ)ᵇ = x⁽ᵃ * ᵇ⁾

(x⁴)³ = x⁽⁴ * ³⁾ = x¹²

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Let f(x)=-3x+4. describe the transformation from the graph of f to the graphs g(x) and f(x)+3 and h(x)-f(x-2)
Liula [17]

Answer:

Answer:

g(x)=-6/5x+1/2

h(x)=-6/5x-1/2

Step-by-step explanation:

1).   g(x)=−f(x) ?

f(x)=6/5x−1/2

g(x)=−(6/5x−1/2)

g(x)=-6/5x+1/2

2). h(x)=f(−x) ?

f(-x)=6/5(-x)−1/2

f(-x)=-6/5x-1/2

h(x)=-6/5x-1/2

8 0
3 years ago
Read 2 more answers
A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function
kykrilka [37]

Answer:

- Stretching the parent function f(x) =\frac{1}{x}  vertically .

 - Shifting the parent function f(x) =\frac{1}{x}  5 units right.

Step-by-step explanation:

<h3>The complete exercise is: " A 100 gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function  f(x) = \frac{100}{x -5} represents the remaining time in minutes needed to fill the tank. How is the graph of the parent function f(x) =\frac{1}{x} transformed to create the graph of f(x) = \frac{100}{x -5}?"</h3><h3 />

Below are some transformations for a function   :

1. If f(x)+k, the function is shifted "k" units up.

2. If f(x)-k, the function is shifted "k" units down.

3. If f(x)-k, the function is shifted "k" units right.

4. If  f(x)+k, the function is shifted "k" units left.

5. If  bf(x) and b>1  the function is  stretched vertically by a factor of "b".

6. If bf(x) and 0   the function is compressed vertically by a factor of "b".

The exercise gives the following parent function:

f(x) =\frac{1}{x}

And you know that the transformed function which represents the remaining time in minutes needed to fill the tank, is:

f(x) = \frac{100}{x -5}

Therefore, based on the transformations explained before you can identify that the graph of the transformed function is created by:

- Stretching the parent function f(x) =\frac{1}{x}  vertically.

- Shifting the parent function f(x) =\frac{1}{x}  5 units right.

7 0
4 years ago
Read 2 more answers
9) To amend the Texas Constitution, a majority of voters must vote in favor of the new
xxMikexx [17]

Answer:

true

Step-by-step explanation:

6 0
4 years ago
I cant seem to figure this out please help. and if its okay may you please put in steps?
Verdich [7]

The error happens in step 2 when the person decided to add 2+3 to get 5. The order of operations PEMDAS says that we have to do multiplication (M) before addition (A). So this is what the steps should look like:

2+3*(5+4)

2+3*9

2+27

29

The proper answer is 29

7 0
3 years ago
Read 2 more answers
Which shows the ratio 12:18 in simplest form?
givi [52]

Answer:

2:3

Step-by-step explanation:

divide both 12 and 18 by gcm, which is 6

7 0
3 years ago
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