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bearhunter [10]
3 years ago
7

Which expression is equivalent to -

Mathematics
1 answer:
dedylja [7]3 years ago
4 0
x^\frac{4}{3} x^ \frac{2}{3}Lets get started :)

Referring to the picture I have uploaded might help you
We have the same base, which in this case is x. 

When multiplication occurs in the same base, we add the powers
x^\frac{4}{3} x^ \frac{2}{3}
   ↓ (I am going to perform the problem separately and then give the final answer as the power to x)
\frac{4}{3} + \frac{2}{3} = \frac{6}{3} = 2
  ↓
x²

(x^2)^ \frac{1}{3}

The power of a power should be performed by multiplying the powers together.
2 x \frac{1}{3} = \frac{2}{3}

x^\frac{2}{3}

Your final answer will be the second option



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Prove that if a and b are integers, then a^2-4b egal or non-egal 2
Lera25 [3.4K]

Answer:

tex]a^2 - 4b \neq 2[/tex]

Step-by-step explanation:

We are given that a and b are integers, then we need to show that a^2 - 4b \neq 2

Let  a^2 - 4b = 2

If a is an even integer, then it can be written as a = 2c, then,

a^2 - 4b = 2\\(2c)^2 - 4b =2\\4(c^2 -b) = 2\\(c^2 -b) =\frac{1}{2}

RHS is a fraction but LHS can never be a fraction, thus it is impossible.

If a is an odd integer, then it can be written as a = 2c+1, then,

a^2 - 4b = 2\\(2c+1)^2 - 4b =2\\4(c^2+c-b) = 2\\(c^2+c-b) =\frac{1}{4}

RHS is a fraction but LHS can never be a fraction, thus it is impossible.

Thus, our assumption was wrong and a^2 - 4b \neq 2.

7 0
3 years ago
There arw 8 pencils in a package how many packages will be needed for 28 students if wach child gets 4 pencils
Tanya [424]
You will need 14 packages 
6 0
4 years ago
the smith family is designing new plans for an in ground pool. mr smith draws a rectangular shape with a length that is 5 feet l
Mnenie [13.5K]
Answer:
area of pool = w(w+5) = w^2 + 5w square feet

Explanation:
The height of the pool is used as its width.
Assume that the width of the pool is w feet.
Now, we are given that the length of the pool is 5 feet longer than its width.
This means that:
length of the pool = w + 5 feet
The area of the rectangle is calculated as follows:
area = length * width
area = (w+5) * (w)
area = w^2 + 5w square feet

Hope this helps :)
4 0
4 years ago
If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).
Alexxx [7]

Answer:

4x + 1

Step-by-step explanation:

Multiply f + g by x because f + g is in parenthesis:

f(x) + g(x)

Then implement equation #1 for f(x) into our equation:

3x - 1 + g(x)

Then implement the other equation for g(x) into our equation:

3x - 1 + x + 2

Then switch the positions of -1 and +x:

3x + x - 1 + 2

Simmplify:

4x + 1

Pls consider giving my answer the Brainliest! Because it would help and mean a lot! ; )

4 0
4 years ago
I need help ASAP!!!! No links
svetoff [14.1K]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
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