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OlgaM077 [116]
3 years ago
5

Solve the inequality: -6n - 12 >= 3(-n + 12)

Mathematics
1 answer:
Verizon [17]3 years ago
7 0

Answer:

-16 > n or n < -16

Step-by-step explanation:

First, we can write the inequality and distribute.

-6n-12 > 3(-n+12)

-6n-12 > -3n+36

Get rid of a variable first (it makes solving a lot easier). We can add 6n to both sides.

-6n-12 > -3n+36

<u>+6n          +6n</u>

-12 > 3n+36

Now, we can subtract 36 on both sides.

-12 > 3n+36

<u>-36         -36</u>

-48 > 3n

Divide by 3 on both sides.

-48 > 3n

<u>/3       /3</u>

-16 > n or (if it's easier) n < -16

Hope this helps!! Have a wonderful day C:

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(6x-5)-(7x+2) explain it please​
natka813 [3]
Simplifying
(6x + -5) + -1(7x + 2) = 0

Reorder the terms:
(-5 + 6x) + -1(7x + 2) = 0

Remove parenthesis around (-5 + 6x)
-5 + 6x + -1(7x + 2) = 0

Reorder the terms:
-5 + 6x + -1(2 + 7x) = 0
-5 + 6x + (2 * -1 + 7x * -1) = 0
-5 + 6x + (-2 + -7x) = 0

Reorder the terms:
-5 + -2 + 6x + -7x = 0

Combine like terms: -5 + -2 = -7
-7 + 6x + -7x = 0

Combine like terms: 6x + -7x = -1x
-7 + -1x = 0

Solving
-7 + -1x = 0

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7
5 0
3 years ago
How many solution does this equation have -5j = -6j - 4
Nataly_w [17]

Answer:

1

Step-by-step explanation:

All variable terms are to the first power. You can prove this by solving:

-5j = -6j - 4

4 = -1j

j = -4 (One answer)  

6 0
3 years ago
Write in slope-intercept form an equation of the line that passes through the points (−4, 2) and (6,−3).
asambeis [7]

Answer:

24,3

Step-by-step explanation:

4x6 3x2

3 0
3 years ago
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Genrish500 [490]

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3 0
1 year ago
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xxMikexx [17]

Answer:

The final equation is y = \frac{4}{3}x - \frac{16}{3}

Step-by-step explanation:

The slope of the line CB where, C(0,3) and B(12,-6) will be  

M = \frac{- 6 - 3}{12 - 0} = - \frac{3}{4}

Now, if the line perpendicular to the line CB has slope N, then M × N = - 1

⇒ N = \frac{4}{3} {Since M = - \frac{3}{4}}

Now, equation of the straight lines which are perpendicular to CB will be in slope-intercept form  

y = \frac{4}{3}x + c {Where, c is the y-intercept}

If this straight line passes through the point (7,4), then  

4 = \frac{4}{3} \times 7 + c

⇒ 12 = 28 + 3c

⇒ 3c = - 16

⇒ c = - \frac{16}{3}

Therefore, the final equation is y = \frac{4}{3}x - \frac{16}{3} (Answer)  

7 0
4 years ago
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