Solve the following linear equation. Explain every step in the process.-4x + 2(3x – 1) - 12 = 3x + 30

Answers

Answer 1
Answer:

Answer:

44/7

Step-by-step explanation:

First, carry out the indicated multiplication, using the Distributive Property of Multiplication:

-4x + 2(3x – 1) - 12 = 3x + 30 becomes:

-4x + 6x – 2 - 12 = 3x + 30

Next, combine all the x terms and all the constants.  We get:

10x - 14  = 3x + 30, or 7x = 44

Dividing both sides by 7 yields x = 44/7.

Answer 2
Answer:

Answer:

X= -44

Step-by-step explanation:

Multiply parenthesis by 2. Distribute 2 through the parenthesis. Collect like terms. Calculate the difference. Move variable to the left side and change it's sign. Move constant to the right side and change it's sign. Collect like terms. Add the numbers. Change the signs on both sides of the equation. Then you'll get X= -44


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X squared minus 18x minus 144 equals 0. Solve by factoring.

Answers

x^2 - 18x - 144 = 0

Factorise:

We choose 2 numbers that add to -18, and multiply to 144, these numbers are  +6 and -24, we put it into the brackets:

(x + 6)(x - 24)   <- x = the interted sign of the numbers inside the brackets

E.g. +6 turns into -6 and -24 turns into +24

x must = -6 or = +24
Answer got deleted because I have to explain it better, which I will kindly do.
(x^2 - 18x - 144) = 0
What two factors add up to equal -18 AND multiply to equal -144?
For a product to be a negative, one of the factors have to be a positive, and the other has to be a negative (positive times a negative equals a negative). 
And now that we know that, we know that the negative number has to be larger than the positive because of the -18. 
What two factors add up to equal -18 AND multiply to equal -144?
Negative 24 and positive 6.
(x - 24)(x + 6)

The paper around a snow cone has a slant height of 6 inches and a diameter of 3 inches. About how many square inches of paper are needed to make a snow-cone cup

Answers

make a what you didnt finish the question

Is this correct the highlighted is the one i think.

Answers

so that is correct because we notice that the line passes through the points 5,-5 and -5,5
we notice that y is negative x so therefor D is the correct answer
IT IS! You are absolutely Right!
Now that (0,0) is the origin, it is also a point where the line lies. (-1, 1) is also a point where the line lies(in Quadrant II). And (1, -1) is the total opposite of (-1, 1).
It is in Quadrant IIII, but it is also on where the line lies

5x=2x-15
y=2x-15
and y=5x

Answers

5x = 2x-15
3x = -15
x = -5

substitute x = -5 into one of your equations
so y = 5x becomes y = 5 x -5
y= -25

x=-5 and y=-25
5x=2x-15 =  x=-5 
 
IDK the other two

-3x-6+(-1) what is it helllllp

Answers

-3x - 6 + (-1)

-3x - 6 - 1

-3x -7

I hope it helps

Answer:

-3x -7

Step-by-step explanation:

Aaron received a $25 gift card for his birthday. He used it to download a game for $3.99and some songs for $0.99 each.
The following inequality models the relationship among the quantities in this scenario
where x represents the number of songs Aaron can afford to download:
25 ≥ 0.99 x + 3.99
Show all work to solve the inequality

Answers

25 ≥ 0.99x + 3.99

Subtract 3.99 to both sides:

21.01 
≥ 0.99x

Divide 0.99 to both sides:

21.22 
≥ x

≤ 21.22

So he can buy less than or equal to 21 songs.
21 \geq x



25 \geq 0.99x + 3.99

25-3.99 \geq  0.99x + 3.99-3.99  (Subtract 3.99 on both sides)

21.01/0.99 \geq 0.99x/0.99  (Divide 0.99 to isolate x)

21.01/ 0.99 is 21.222 bar, so round it to the nearest ones place, which is 21.

21 \geq x

Check:

0.99(21)+3.99  (Multiply)

20.79+3.99  (Add)

24.78, which is $25.