All categories

3 years ago

Solve for x -5(-x+1)-3x-1=-12

Mathematics

2 answers:

vitfil [10]3 years ago

6 0

Answer:

x = -2

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define equation

x - 5(-x + 1) - 3x - 1 = -12

Step 2: Solve for x

Distribute -5: x + 5x - 5 - 3x - 1 = -12
Combine like terms: 3x - 6 = -12
Add 6 to both sides: 3x = -6
Divide 3 on both sides: x = -2

Step 3: Check

Plug in x to verify it's a solution.

Substitute: -2 - 5(-(-2) + 1) - 3(-2) - 1 = -12
Multiply: -2 - 5(2 + 1) + 6 - 1 = -12
Add: -2 - 5(3) + 6 - 1 = -12
Multiply: -2 - 15 + 6 - 1 = -12
Subtract: -17 + 6 - 1 = -12
Add: -11 - 1 = -12
Subtract: -12 = -12

Mrrafil [7]3 years ago

5 0

I got -3 i don’t know if it’s right by looking at the other answers

You might be interested in

Solve for x: −3|2x 6| = −12 x = 1 and x = 5 x = −1 and x = −5 x = −9 and x = 3 no solution

Kruka [31]

-3|2x + 6| = -12
|2x + 6| = -12/-3 = 4
2x + 6 = 4 and 2x + 6 = -4
2x = 4 - 6 and 2x = -4 - 6
2x = -2 and 2x = -10
x = -2/2 and x = -10/2
x = -1 and x = -5

5 0

4 years ago

Suppose the Tower of Hanoi rules are changed so that stones may only be transferred to an adjacent clearing in one move. Let In

Svet_ta [14]

Answer:

$l_n=3^n-1$

Step-by-step explanation:

We will prove by mathematical induction that, for every natural n,

$l_n=3^n-1$

We will prove our base case (when n=1) to be true:

Base case:

As stated in the qustion, $l_1=2=3^1-1$

Inductive hypothesis:

Given a natural n,

$l_n=3^n-1$

Now, we will assume the inductive hypothesis and then use this assumption, involving n, to prove the statement for n + 1.

Inductive step:

Let´s analyze the problem with n+1 stones. In order to move the n+1 stones from A to C we have to:

Move the first n stones from A to C ( $l_n$ moves).
Move the biggest stone from A to B (1 move).
Move the first n stones from C to A ( $l_n$ moves).
Move the biggest stone from B to C (1 move).
Move the first n stones from A to C ( $l_n$ moves).

Then,

$l_{n+1}=3l_n+2$ .

Therefore, using the inductive hypothesis,

$l_{n+1}=3l_n+2=3(3^n-1)+2=3^{n+1}-3+2=3^{n+1}-1$

With this we have proved our statement to be true for n+1.

In conlusion, for every natural n,

$l_n=3^n-1$

8 0

3 years ago

I need help with number nine

vredina [299]

Well what's number nine

8 0

3 years ago

NEED HELP

zzz [600]

D for the same reason percents

6 0

3 years ago

Read 2 more answers

Describe how the point-slope formula is useful when writing the equation of a trend line

Hitman42 [59]

Answer:

Trend lines are lines used to approximate the general shape of a scatter plot. A positive trend line tells us the scatter plot has a positive correlation. A negative trend line tells us the scatter plot has a negative correlation.

5 0

3 years ago