All categories

3 years ago

Solve 3(2x - 8) = 12

Mathematics

1 answer:

spayn [35]3 years ago

5 0

Answer:

x=6

Step-by-step explanation:

Simplifying

3(2x + -8) = 12

Reorder the terms:

3(-8 + 2x) = 12

(-8 * 3 + 2x * 3) = 12

(-24 + 6x) = 12

Solving

-24 + 6x = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '24' to each side of the equation.

-24 + 24 + 6x = 12 + 24

Combine like terms: -24 + 24 = 0

0 + 6x = 12 + 24

6x = 12 + 24

Combine like terms: 12 + 24 = 36

6x = 36

Divide each side by '6'.

x = 6

Simplifying

x = 6

You might be interested in

Will Give Brainliest!!!

Nimfa-mama [501]

The answer is D, shape 2's 'tail' is longer than shape 1's

8 0

4 years ago

Read 2 more answers

How can i prove this property to be true for all values of n, using mathematical induction.

chubhunter [2.5K]

Proof -

So, in the first part we'll verify by taking n = 1.

$\implies \: 1 = {1}^{2} = \frac{1(1 + 1)(2 + 1)}{6}$

$\implies{ \frac{1(2)(3)}{6} }$

$\implies{ 1}$

Therefore, it is true for the first part.

In the second part we will assume that,

$\: { {1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} = \frac{k(k + 1)(2k + 1)}{6} }$

and we will prove that,

$\sf{ \: { {1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k + 1)(k + 1 + 1) \{2(k + 1) + 1\}}{6}}}$

$\: {{1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k + 1)(k + 2) (2k + 3)}{6}}$

${1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{k (k + 1) (2k + 1) }{6} + \frac{(k + 1) ^{2} }{6}$

${1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{k(k+1)(2k+1)+6(k+1)^ 2 }{6}$

${1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k+1)\{k(2k+1)+6(k+1)\} }{6}$

${1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k+1)(2k^2 +k+6k+6) }{6}$

${1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k+1)(2k^2+7k+6) }{6}$

${1}^{2} + {2}^{2} + {3}^{2} + ..... + {k}^{2} + (k + 1)^{2} = \frac{(k+1)(k+2)(2k+3) }{6}$

Henceforth, by using the principle of mathematical induction 1²+2² +3²+....+n² = n(n+1)(2n+1)/ 6 for all positive integers n.

_______________________________

Please scroll left - right to view the full solution.

8 0

2 years ago

What is (x-9)(x-8) simplified?

bagirrra123 [75]

Dear HopellennibH, you need to FOIL. It is an algorithm to use when multiplying two binomials. Here are the steps. The "F" means to multiply the first two terms which gives you x squared. The "O" means to multiply the first term by the outer term, which gives you -8x. The "I" means to multiply the inner terms, which -9 times x which gives you -9x. The "L" means to multiply the last terms, which are -9 times -8, which gives you 72. Write the terms in standard form and you have x squared -17x +72.

5 0

3 years ago

Which is an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12?

Bond [772]

Answer:

An equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be: