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Nadya [2.5K]
3 years ago
15

10x-7x=12 how to solve this

Mathematics
2 answers:
djyliett [7]3 years ago
8 0

Answer:

x=4

Step-by-step explanation:

10x-7x=12

3x=12

divide both sides by 3

x=4

nekit [7.7K]3 years ago
5 0

Answer: x = 4

Step-by-step explanation: To solve this equation, we can first combine our like terms on the left side of the equation which are the x's.

10x - 7x = 3x so we now have the equation 3x = 12.

Now to solve for <em>x</em>, we want to get <em>x</em> by itself on the left side of the equation. Since <em>x</em> is being multiplied by 3, to get <em>x</em> by itself, we need to divide by 3 on the left side of the equation. Since we divided by 3 on the left side, we must also divide by 3 on the right side.

On the left side, notice that the 4's cancel out so we're simply left with <em>x</em>. On the right side we have 12 divided by 3 which is 4 so x = 4.

Finally, remember to check your answer by substituting a 4 back into the original equation.

So we have 10(4) - 7(4) = 12 or 40 - 28 = 12 or 12 = 12.

Since this a true statement, we know our answer is correct.

Remember to show all your work when solving equations.

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Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n &gt; 1?
Degger [83]

The recursive formula a_n = a_{n-1}-6 can be used to generate the shown sequence

Step-by-step explanation:

Recursive formula is the formula that is used to generate the next term of a sequence using previous term.

The general form of arithmetic sequence's recursive formula is:

a_n = a_{n-1}+d

Given

5,-1,-7,-13,-19

Here

a_1 = 5\\a_2 = -1\\a_3 = -7

First of all we have to find the common difference of the sequence.

So,

d = a_2 -a_1 = -1-5 = -6\\d = a_3-a_2 = -7+1 = -6

Putting the value of d in the general recursive formula

a_n = a_{n-1}-6

Hence,

The recursive formula a_n = a_{n-1}-6 can be used to generate the shown sequence

Keywords: Sequence, arithmetic sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/3375830
  • brainly.com/question/3398261

#LearnwithBrainly

8 0
3 years ago
Read 2 more answers
A video sharing website starts with 20,000 members. Each year it loses 25% of the members, but adds 10,000 new members after the
Paraphin [41]
Hello there!

So, as we see here, we can see that they start out with 20,000 members. 25% of 20,000 would be 5,000 members.

So, every year, they lose 25% which is 5,000 members of they team. But then they gain 10,000 more.

So, practically, they get 5,000 every year even though they get 25% off.

5,000 would be the answer.
4 0
3 years ago
All of them pls I am just helping my litte some think
IceJOKER [234]
Try to refrain from asking more than three questions per question for future reference. 

11+4=15
6+4=10
4+7=11
12+4=16
0+4=4
4+0=4
10+4=14
4+5=9
9+4=13
4+2=6
4+8=12
4+3=7
7+4=11
4+4=8
4+1=5
8+4=12

Hope this helps.
-Benjamin
5 0
3 years ago
1. -2x(x+3)-(x+1)(x-2) =
Simora [160]

Answer:

-3x^2 -7x + 2

Step-by-step explanation:

Given

-2x(x + 3) - (x+1)(x - 2)

Required

Solve

Open brackets

-2x^2 -6x - (x^2-2x + x - 2)

-2x^2 -6x - x^2-2x + x + 2

Collect like terms

- x^2-2x^2 -6x -2x + x + 2

-3x^2 -7x + 2

5 0
3 years ago
When the sample size and the sample proportion remain the same, a 90 percent confidence interval for a population proportion p w
deff fn [24]

Answer:

A 90% confidence interval for <em>p</em> will be <u>narrower </u>than the 99% confidence interval.

Step-by-step explanation:

The formula to compute the (1 - <em>α</em>) % confidence interval for a population proportion is:

CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

Here \hat p is the sample proportion.

The margin of error of the confidence interval is:

MOE= z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

The MOE is dependent on:

  1. Confidence level
  2. Standard deviation
  3. Sample size

The MOE is directly related to the confidence level and standard deviation.

So if any of the two increases then the MOE also increases, thus widening the confidence interval.

And the MOE is inversely related to the sample size.

So if the sample increases the MOE decreases and vice versa.

It is provided that the sample size and the sample proportion are not altered.

The critical value of <em>z</em> for 90% confidence level is:

z_{\alpha/2}= z_{0.10/2}=z_{0.05}=1.645

And the critical value of <em>z</em> for 99% confidence level is:

z_{\alpha/2}= z_{0.05/2}=z_{0.05}=1.96

So as the confidence level increases the critical value increases.

Thus, a 90% confidence interval for <em>p</em> will be narrower than the 99% confidence interval.

6 0
3 years ago
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