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schepotkina [342]
3 years ago
7

I need a answer to equation -2x=8

Mathematics
1 answer:
valkas [14]3 years ago
4 0

Answer:

x = -4

Step-by-step explanation:

Divide both sides by -2.

x= - 8/2

Simplify - 8/2 to -4.

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Use mathematical induction to prove
Alex17521 [72]

Prove\ that\ the\ assumption \is \true for\ n=1\\1^3=\frac{1^2(1+1)^2}{4}\\ 1=\frac{4}{4}=1\\

Formula works when n=1

Assume the formula also works, when n=k.

Prove that the formula works, when n=k+1

1^3+2^3+3^3...+k^3+(k+1)^3=\frac{(k+1)^2(k+2)^2}{4} \\\frac{k^2(k+1)^2}{4}+(k+1)^3=\frac{(k+1)^2(k+2)^2}{4} \\\frac{k^2(k^2+2k+1)}{4}+(k+1)^3=\frac{(k^2+2k+1)(k^2+4k+4)}{4} \\\frac{k^4+2k^3+k^2}{4}+k^3+3k^2+3k+1=\frac{k^4+4k^3+4k^2+2k^3+8k^2+8k+k^2+4k+4}{4}\\\\\frac{k^4+2k^3+k^2}{4}+k^3+3k^2+3k+1=\frac{k^4+6k^3+13k^2+12k+4}{4}\\\frac{k^4+2k^3+k^2}{4}+\frac{4k^3+12k^2+12k+4}{4}=\frac{k^4+6k^3+13k^2+12k+4}{4}\\\frac{k^4+6k^3+13k^2+12k+4}{4}=\frac{k^4+6k^3+13k^2+12k+4}{4}\\

Since the formula has been proven with n=1 and n=k+1, it is true. \square

7 0
2 years ago
The data show the approximate lengths, in feet, of the six longest snakes and the six longest fish
AVprozaik [17]

Answer:

greater greater then

Step-by-step explanation:

5 0
4 years ago
Name: Combining Like Terms Combine the following sets of terms. 1. (2x + 6x + 10) + (4x² + 2x + 3)​
emmainna [20.7K]

Answer:

(10x+4x^2+13)

Step-by-step explanation: 10 and 3 do not have a variable therefore they go together (both being positive you add). 2x, 2x, and 6x have the same variable, being positive you add. 4x^2 is the only number with the x^2 variable and stays by itself due to no others.

6 0
3 years ago
Do the measures 9, 12, and 15 create a right triangle?
sukhopar [10]
They form a right angled triangle since;
9^{2} + 12^{2}= 15^{2}
81+144=225
6 0
3 years ago
If the number of $8 child tickets is 17 less than 3 times the number of $12 adult tickets and the theater took in $584, how many
slava [35]

Answer:

The number of child tickets sold was 43 and the number of adult tickets sold was 20

Step-by-step explanation:

Let

x ----> the number of child tickets sold

y ----> the number of adult tickets sold

we know that

x=3y-17 -----> equation A

8x+12y=584 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (43,20)

see the attached figure

therefore

The number of child tickets sold was 43 and the number of adult tickets sold was 20

4 0
3 years ago
Read 2 more answers
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