All categories

3 years ago

6 - 3n = -12 what is n?

Mathematics

2 answers:

DaniilM [7]3 years ago

6 0

Answer: 6

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

6-3*n-(-12)=0

Step 1 :

Pulling out like terms :

Pull out like factors :

18 - 3n = -3 • (n - 6)

Equation at the end of step 1 :

Step 2 :

Equations which are never true :

2.1 Solve : -3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2 Solve : n-6 = 0

Add 6 to both sides of the equation :

n = 6

One solution was found :

n = 6

weeeeeb [17]3 years ago

4 0

Answer: n = 6

Step-by-step explanation:

6 - 3n = -12

Collect like terms

-3n = -12-6

-3n = -18

Divide both side by -3

-3n/-3 = -18/-3

n = 6

You might be interested in

Find the values of m and b that make the following function differentiable.

KengaRu [80]

$f(x)=\begin{cases}x^2&\text{for }x\le2\\mx+b&\text{for }x>2\end{cases}$

In order to be differentiable everywhere, $f$ must first be continuous everywhere, which means the limits from either side as $x\to2$ must be the same and equal to $f(2)$ . By definition, $f(2)=2^2=4$ , and

$\displaystyle\lim_{x\to2^-}f(x)=\lim_{x\to2}x^2=4$

$\displaystyle\lim_{x\to2^+}f(x)=\lim_{x\to2}(mx+b)=2m+b$

so we need to have $4m+b=4$ .

For $f$ to be differentiable at $x=2$ , the derivative needs to be continuous at $x=2$ , i.e.

$\displaystyle\lim_{x\to2^-}f'(x)=\lim_{x\to2^+}f'(x)$

We then need to have

$\displaystyle\lim_{x\to2}2x=\lim_{x\to2}m\implies\boxed{m=4}$

Then

$2m+b=4\implies\boxed{b=-4}$

7 0

3 years ago

1 . a sequence in which a fixed amount is added on to get the next term arithmetic sequence 2 . an individual quantity or number

Dmitry [639]

$T_n = a_1 + d(n-1)$

If a = 4 and d = 3,

$T_n = 4+ 3(n-1)$

$T_n = 4+ 3n-3$

$T_n = 3n + 1$

---------------------------------------------------------------------------------------
Answer: The general equation for the nth term is 3n + 1.
---------------------------------------------------------------------------------------

6 0

3 years ago

Chris pays a fee if her balance falls below $10 on the statement data. Prior to the statement date, her balance was -$3.46. Then

alisha [4.7K]

Answer:

The solution of the inequality required for the situation is d ≥ $13.46.

Step-by-step explanation:

i) the minimum deposit is $10.

ii) the balance before the statement is $-3.46

iii) a deposit d is made so that the fee did not have to be made

iv) therefore d + (-3.46) ≥ 10

d - 3.46 ≥ 10

therefore d ≥ 10 + 3.46

therefore d ≥ $13.46

3 0

3 years ago

How do you simplify 80/36

Black_prince [1.1K]

Answer:

20/9

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 80 and 36 is 4

Divide both the numerator and denominator by the GCD

80 ÷ 4

36 ÷ 4

Reduced fraction: 20/9

8 0

3 years ago

I NEED HELP FAST PLEAASE I BEG U!!!!!

motikmotik

Answer:

You must mix 2.67 gals. of pure alcohol to obtain the desired mixture.

4 0

3 years ago