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Mamont248 [21]
3 years ago
7

4(x + 3) = 6-x what is the answer I need help please

Mathematics
1 answer:
Amanda [17]3 years ago
4 0
4(x + 3) = 6 - x

First, expand to remove parentheses.
4x + 12 = 6 - x
Second, subtract '6' from both sides.
4x + 12 - 6 = -x
Third, subtract '12 - 6' to get 6.
4x + 6 = -x
Fourth, subtract '4x' from both sides.
6 = -x - 4x
Fifth, since 'x' can be referred to as '1', add it to '4x' to get '-5x'.
6 = -5x
Sixth, divide both sides by '-5'.
\frac{6}{-5} =x
Seventh, change the whole fraction into a negative.
-\frac{6}{5} =x
Eighth, switch your sides.
x =  -\frac{6}{5}

Answer as fraction: -\frac{6}{5}
Answer as decimal: -1.2

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On a number line, the distance from zero to -8 is 8 units. Which equation demonstrates this concept? A. 82 = 64 B. |-8| = 8 C. |
emmasim [6.3K]

Answer:

Option B

Step-by-step explanation:

The absolute value of a number is how far a number is from zero. We can use ' | | ' to represent the absolute volume of a number.  The distance, or absolute value, of -8 is 8.

We can represent this by writing:

|-8| = 8

Option B should be the correct answer.

7 0
2 years ago
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Find the equation of the sphere passing through pleft parenthesis negative 4 comma 7 comma 6 right parenthesis(−4, 7, 6) and qle
Oksi-84 [34.3K]

The equation of a sphere is:

(x – h)^2 + (y – k)^2 + (z – l)^2 = r^2

where h, k and l are the coordinates of the center of the sphere

 

Using the midpoint formula, the coordinate of the center is:

h = (-4 + 6) / 2 = 1

k = (7 + -5) / 2 = 1

l = (6 + 7) / 2 = 6.5

 

so the equation becomes:

(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = r^2

 

we plug in any point, in this case point P to solve for r:

(-4 -1)^2 + (7 – 1)^2 + (6 - 6.5)^2 = r^2

r^2 = 61.25

 

So the full equation is:

<span>(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = 61.25</span>

8 0
3 years ago
Please help me immediately​
marshall27 [118]

Answer:

zero of a polynomial can be defined as the points where the polynomial become 0 as a whole.

An equation formed with variables, exponents and coefficient together with operation and an equal sign is called polynomial equation.

I hope this will help you

5 0
3 years ago
if you deposit 4500 at 5% annual interest compounded annually how much money will be in the account after 30 months
Alja [10]

Answer:

A = $ 50,978.44

Step-by-step explanation:

First, convert R percent to r a decimal

r = R/100

r = 5%/100

r = 0.05 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 45,000.00(1 + 0.004166667/12)(12)(2.5)

A = $ 50,978.44

8 0
3 years ago
Express 30 as a product of its prime factors
Olegator [25]

Answer:

5 * 3 * 2

Step-by-step explanation:

30

15 * 2

5 * 3 * 2

3 0
2 years ago
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