Show all the steps!3+2x=13-3x

Mathematics

2 answers:

Goshia [24]3 years ago

7 0

Answer:

x=2

Step-by-step explanation:

3+2x=13-3x

+3x +3x

3+5x=13

-3 -3

5x=10

/5 /5

x=2

Hope this helps! :D

QveST [7]3 years ago

6 0

Answer:

5x = 10 or x = 2 if your teacher wants x by itself.

Step-by-step explanation:

1. Simplify! Is there anything to simplify? In this case no, so we can move to the next step! Equation should look like this: 3 + 2x = 13 - 3x

2. Get rid of 3, we need to find a way to get 2x by itself before we do anything else! Equation should look like this: 2x = 10 - 3x

( Make sure to get rid of 3 units on the other side so it's a legal move)

3. Get rid of -3x, we also need to get 10 by itself as it holds the answer we're looking for! Equation should look like this: 5x = 10

( Make sure to add 3x on the other side so it's a legal move!)

4. This is optional, if your teacher wants you to find out what x by itself is this is how you do it! DIVIDE!!! Divide 5x by 5 getting you x, and divide 10 by 5 getting you 2! Equation should look like this: x = 2

Keep in mind I'm not sure if your teacher wants you to do things differently, or if there's a different operation or rule to use as I'm in middle school! If I got something wrong please correct me, as I don't want to spread misinformation.

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What is the maximum number of turns for the graph of f(x)=x^4+3x^2?

Stels [109]

Answer:

The turns of a graph is represented by the number of maximum or minimum that the function has.

If we differenciate f(x) we get:

f'(x)=4x^3+6x

f'(x)=2x(2x^2 + 3)

Therefore f'(x) =0, when x=0. Given that negative roots are not defined.

Therefore, the number of turns will be given by the number of solutions of f'(x) which is 1.

Attached you find the graph of the function which confirms the number of turns.

If the function had other solutions, the maximum number of turns it could have is 3! because f'(x) is a third degree polynomial, therefore it can't have more than 3 solutions!