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motikmotik
3 years ago
15

Explain how to solve this problem in your own words.​

Mathematics
1 answer:
natta225 [31]3 years ago
7 0

Answer:

3 m^8

Step-by-step explanation:

We know that a^b / a^c = a^( b-c)  so using the quotient rule for exponents

3 * m^( 7 - -1)

3 *m^(8)

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Describe the similarities and differences in solving the equations 4^5x-1=16 and log4(10x+2)=1 Then solve each question
Brilliant_brown [7]

Answer:

4^5x-1=16

4^5x-1=4²eliminate 4

5x-1=2

5x=2+1

5x=3

x=3/5

log4(10x+2)=1

log4(10x+2)=log4 ⁴

eliminate log4

10x+2=4

10x=4-2

10x=2

x=2/10

x=1/5

difference between the is we use law of indices and logarithm to the questions respectively

similarities is we eliminate there base

8 0
2 years ago
Triangular numbers can be represented with equilateral triangles formed by dots the first fire triangle numbers are 1 3 6 10 and
zhannawk [14.2K]

Answer:

There's no direct variation

Step-by-step explanation:

Required

Determine if there's a direct variation between the number and its position

I'll start by giving an illustration of how the triangle is represented using stars (*)

*

**

***

****

*****

Represent the line number with y and it's position with x

On line 1:

y = 1, x = 1

On line 2:

y = 2, x = 3

On line 3:

y = 3, x = 6

On line 4:

y = 4, x = 10

On line 5:

y = 5, x = 15

Note that, x is gotten by calculating the accumulated number of stars while y is the line number.

Direct variation is represented by

y = kx

Or

kx = y

Where k is the constant of variation

For line 1:

Substitute 1 for y and 1 for x

k * 1 = 1

k = 1

For line 2:

Substitute 2 for y and 3 for x

k * 3 = 2

Divide through by 3

k = ⅔

Note that the values of k in both computations differ.

This implies that there's no direct variation and there's no need to check further.

3 0
3 years ago
Factor 7 from 21x2 - 35x + 14
Anastasy [175]

Answer:

7(3x^2 - 5x + 2) is the answer

7 0
3 years ago
If you dissolve 50g of sugar in 30g of water (it is possible!) what would be the sugar concentration?
iren2701 [21]
The sugar concentration would be higher then the water compared to aggu
8 0
4 years ago
-2x+15y=-24<br> 2x+9y=24 <br> solve the system of equation
zhuklara [117]

Answer:

x = 12, y = 0

Step-by-step explanation:

Use elimination.

24y = 0

y = 0

Then plug back into the second equation.

2x + 9(0) = 24

2x = 24

x = 12

Plug back into the first equation to check.

8 0
3 years ago
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