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Katyanochek1 [597]
3 years ago
8

Simplify x^1/3(x^1/2+2x^2)

Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0

Answer:

x^{5/6 } + 2\cdot x^{7/3}

Step-by-step explanation:

Let be x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2}), which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:

1) x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})  Given.

2) x^{1/3}\cdot x^{1/2} + 2\cdot (x^{1/3}\cdot x^{2}) Distributive and associative properties.

3) x^{5/6 } + 2\cdot x^{7/3} a^{m}\cdot a^{n} = a^{m+n}/Result

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Help me please i cant get it
Leni [432]

Answer:

Let's define the cost of the cheaper game as X, and the cost of the pricer game as Y.

The total cost of both games is:

X + Y

We know that both games cost just above AED 80

Then:

X + Y > AED 80

From this, we want to prove that at least one of the games costed more than AED 40.

Now let's play with the possible prices of X, there are two possible cases:

X is larger than AED 40

X is equal to or smaller than AED 40.

If X is more than AED 40, then we have a game that costed more than AED 40.

If X is less than or equal to AED 40, then:

X ≥ AED 40

Now let's take the maximum value of X in this scenario, this is:

X = AED 40

Replacing this in the first inequality, we get:

X + Y > AED 80

Replacing the value of X we get:

AED 40 + Y  > AED 80

Y > AED 80 - AED 40

Y > AED 40

So when X is equal or smaller than AED 40, the value of Y is larger than AED 40.

So we proven that in all the possible cases, at least one of the two games costs more than AED 40.

7 0
3 years ago
How many solutions does the following equation have?<br> -5(z+1)=-2z+10−5(z+1)=−2z+10
Levart [38]

Step-by-step explanation:

the answer is 13 when we evaluate it

7 0
3 years ago
Halp plss halp plss me
Vladimir79 [104]

Answer:

1

Step-by-step explanation:

36 - 30 - 5

6 - 5

1

8 0
2 years ago
Complete the sequence.<br><br>37.25​, 35.5​, 33.75​, __, __.
Leviafan [203]

Answer:

37.25​, 35.5​, 33.75​, <u>32</u>, <u>30.25</u>.

Step-by-step explanation:

Subtract the first term from the second term:

35.5 - 37.25 = -1.75

Subtract the second term from the third term:

35.5 - 33.75 = -1.75

The common difference is -1.75.

To find each subsequent term, add the common difference to the current term.

33.75 + (-1.75) = 32

32 + (-1.75) = 30.25

Answer:

37.25​, 35.5​, 33.75​, <u>32</u>, <u>30.25</u>.

6 0
3 years ago
Write of the following represents 6x^3/4 in radical form?
kenny6666 [7]

Answer:

6\sqrt[4]{x^3}[/tex]

Step-by-step explanation:

6x^3/4

is the same as

6 (x^3/4)

and the rule to change an exponent to a radical is power over root

so in this case, the power, 3 is over the root, 4

So it would be 6\sqrt[4]{x^3}[/tex]

3 0
3 years ago
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