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Leya [2.2K]
3 years ago
15

5^2x * 5^3 =5^9 what is x please help

Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Answer:

x = 3

Step-by-step explanation:

{5}^{2x}  \ast {5}^{3}  =  {5}^{9}  \\  {5}^{2x + 3}  =  {5}^{9}  \\ 2x + 3 = 9 \\ (bases \: are \: equal \: so \: exponents \: will \: also \: \\  be \: equal) \\ 2x = 9 - 3 \\ 2x = 6 \\ x =  \frac{6}{2}  \\  \huge \red { \boxed{x = 3}}

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X – 1 + 2x ≤ x + 3 <br> --- --- <br> 2 4
Paraphin [41]
<span>X – 1 + 2x ≤ x + 3 
--- --- 
2 4=7658</span>
5 0
3 years ago
Which linear equation has no solution?
olga_2 [115]

Answer:

Option A

Step-by-step explanation:

Given:

  • a. 3x-5= 3x + 5
  • b. 3x-5= 3x - 5
  • c. 3x - 5 = 2x+5
  • d. 3x-5 = 2x + 10

To find:

  • Which one of the linear equations have no solution.

Solution:

a)  3x-5= 3x + 5

Add 5 to both sides

3x-5= 3x + 5

3x - 5 + 5 = 3x + 5 + 5

Simplify

(Add the numbers)

3x - 5 + 5 = 3x + 5 + 5

3x = 3x + 5 + 5

(Add the numbers)

3x  = 3x + 5 + 5

3x = 3x + 10

Subtract 3x from both sides

3x = 3x + 10

3x - 3x = 3x + 10 - 3

Simplify

(Combine like terms)

3x -3x = 3x + 10 - 3

0 = 3x + 10 - 3

(Combine like terms)

0 = 3x + 10 - 3

0 = 10

The input is a contradiction: it has no solutions

b)  3x-5= 3x - 5

Since both sides equal, there are infinitely many solutions.

c)  3x - 5 = 2x+5

Add 5 to both sides

3x = 2x + 5 + 5

Simplify  2x + 5 + 5 to 2x + 10

3x = 2x + 10

Subtract 2x from both sides

3x - 2x = 10

Simplify 3x - 2x to x.

x = 10

d) 3x-5 = 2x + 10

Add 5 to both sides

3x = 2x + 10 + 5

Simplify 2x + 10 + 5 to 2x + 15

3x = 2x + 15

Subtract 2x from both sides

3x - 2x = 15

Simplify 3x -2x to x.

x = 15

--------------------------------------------

Answer:

As you can see all c and d both have solutions, eliminating them as options. Option B has infinite solutions leaving Option A which has no solutions.

Therefore, <u><em>Option A</em></u> is the linear equation that has no solution.

3 0
2 years ago
Read 2 more answers
Plz help me i have this due in a few minutes answer asap
Drupady [299]

Answer:

I'm thinking it's D.

Step-by-step explanation:

7 0
3 years ago
What’s the true statement
-Dominant- [34]

The answer to this question is d because 7 is in the ten-thousand's place and another 7 is in the thousand's place.

8 0
3 years ago
Convert:<br> 79 kiloliters 91 decaliters =<br> decaliters
kykrilka [37]
I believe the answer you want is 7991 decaliters
6 0
3 years ago
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