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inna [77]
3 years ago
7

What should happen to both sides of the equation to isolate the variable?

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
5 0

Answer:

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. When you solve an equation, you find the value of the variable that makes the equation true. In order to solve the equation, you isolate the variable

Step-by-step explanation:

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If 2^(x+3) - 2x = k(2^x) what is the value of k
svlad2 [7]

Answer:

\large\boxed{C)\ 7}

Step-by-step explanation:

Use:

a^n\cdot a^m=a^{n+m}

2^{x+3}-2^x=2^x\cdot2^3-2^x=8\cdot2^x-2^x=(8-1)\cdot2^x=7\cdot2^x\\\\2^{x+3}-2^x=k(2^x)\\\\7\cdot2^x=k(2^x)\Rightarrow k=7

8\cdot2^x-2^x=8\cdot2^x-1\cdot2^x=(8-1)(2^x)=7\cdot2^x\\\\\text{distributive property:}\ a(b-c)=ab-ac

8 0
4 years ago
Which number should be added to both sides of the equation to complete the square x^2-10x=7
mixer [17]

Answer:

  25

Step-by-step explanation:

The number that needs to be added is the square of half the x-coefficient:

  (-10/2)^2 = 25

_____

Adding that gives ...

  (x -5)^2 = 32

  x = 5 ± 4√2

5 0
4 years ago
Help!! Asappp!! please​
kotykmax [81]

Answer:

C

Step-by-step explanation:

you add 15 and 10 witch gets you 25 and then you add 3 for the students that don't play either witch gets you 28 and then subtract 28 from 32, or just count up from 28 to 32 but you get the same answer.

4 0
3 years ago
Help help help help math
lidiya [134]

Answer:

Step-by-step explanation:

2x+y

=2(2)+1

=4+1

=5

3 0
2 years ago
Read 2 more answers
Consider two x distributions corresponding to the same x distribution. The first x distribution is based on samples of size n =
Tanya [424]

Answer:

The distribution with n = 225 will give a smaller standard error.

Since sigma x = sigma/√n, dividing by the square root of 225 will result in a small standard error regardless of the value of sigma.

Step-by-step explanation:

Standard error is given by standard deviation (sigma) divided by square root of sample size (√n).

The distribution with n = 225 would give a smaller standard error because the square root of 225 is 15. The inverse of 15 multiplied by sigma is approximately 0.07sigma which is smaller compared to the distribution n = 100. Square of 100 is 10, inverse of 10 multiplied by sigma is 0.1sigma.

0.07sigma is smaller than 0.1sigma

8 0
4 years ago
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