Answer:
3x² + x - 3
Step-by-step explanation:
The way I like to do it is to get rid of the x's and just use the numbers in the case of synthetic division
Pretend the square root of the division symbol
-4 √ 3 12 1 -12
Quick note: We're dividing by -4 because we're dividing by x + 4
First bring down the 3
-4 √ 3 13 1 -12
3
Multiply it by 4 then bring add it to the next number
-4 √ 3 13 1 -12
-12
3 1
Add that number to the next one
-4 √ 3 13 1 -12
-12 -4
3 1 -3
Finally repeat the step for the last number
-4 √ 3 13 1 -12
3 -12 -4 +12
3 1 -3 0
Now take those bottom numbers and add back the x's but with one less power, so the starting x³ would now become x², x² would become x, and so on
3x² + 1x - 3
Answer:
Step-by-step explanation:
surface area of one can 2πrh+2πr²
=2πr(h+r)
≈2×3.14×3/2(4.25+1.5)
≈9.42(5.75)
≈54.165 in²
number of cans=1000/54.165
=18 cans
material used=18×54.165≈975 in²
material left=1000-975=25 in²
Answer:

Step-by-step explanation:
Hello,
I am going to start with to change to a improper fraction:
1. I will convert 6 and 9/10 into a improper fraction:

2. Now that I have converted the mixed fraction into a improper I can multiply the numerator and the denominator.

3. Now I can simplify this value and convert it into a mixed fraction

After further simplifying I can convert this into an mixed number
<span>Simplifying
2x + 18y = 36
Solving
2x + 18y = 36
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-18y' to each side of the equation.
2x + 18y + -18y = 36 + -18y
Combine like terms: 18y + -18y = 0
2x + 0 = 36 + -18y
2x = 36 + -18y
Divide each side by '2'.
x = 18 + -9y
Simplifying
x = 18 + -9y</span>