Answer:
q-u-a-d-r-a-t-i-c f-o-r-m-u-l-a
Step-by-step explanation:
<span>Simplifying
12 + -6(w + -3) = 3(-5 + -3w) + 21
Reorder the terms:
12 + -6(-3 + w) = 3(-5 + -3w) + 21
12 + (-3 * -6 + w * -6) = 3(-5 + -3w) + 21
12 + (18 + -6w) = 3(-5 + -3w) + 21
Combine like terms: 12 + 18 = 30
30 + -6w = 3(-5 + -3w) + 21
30 + -6w = (-5 * 3 + -3w * 3) + 21
30 + -6w = (-15 + -9w) + 21
Reorder the terms:
30 + -6w = -15 + 21 + -9w
Combine like terms: -15 + 21 = 6
30 + -6w = 6 + -9w
Solving
30 + -6w = 6 + -9w
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '9w' to each side of the equation.
30 + -6w + 9w = 6 + -9w + 9w
Combine like terms: -6w + 9w = 3w
30 + 3w = 6 + -9w + 9w
Combine like terms: -9w + 9w = 0
30 + 3w = 6 + 0
30 + 3w = 6
Add '-30' to each side of the equation.
30 + -30 + 3w = 6 + -30
Combine like terms: 30 + -30 = 0
0 + 3w = 6 + -30
3w = 6 + -30
Combine like terms: 6 + -30 = -24
3w = -24
Divide each side by '3'.
w = -8
Simplifying
w = -8</span>
Answer:14
Step-by-step explanation:
1. Ratio : 2:3
2. Multiply the number of juniors by the Ratio
(2/3)(21)
3. Solve for answer
Answer: 14
Answer:
* * *
|-4|___|-3|___|-2|___|-1|___|0|___|1|___|2|___|3|___|4|___|5|___|6|
Step-by-step explanation:
You are looking for a dot over -2 (that is 2 units to the left of 0).
You are looking for a dot over 3 (that is 3 units to the right of 0).
You are looking for a dot over 4 (that is 4 units to the right of 0).
If you find one of the graphs matches this, then you should select.
The graph would look like this:
* * *
|-4|___|-3|___|-2|___|-1|___|0|___|1|___|2|___|3|___|4|___|5|___|6|
Answer:
3months
Step-by-step explanation:
target $1100
currently saved $1100
so we get the amount she need to save to get to the target.
$1100 - $110= $990 Need to be saved
saving rate 10% of $3300= $330 per month
to get the number of months she need to save, we divide amount needed by amount saved per month; $990 ÷ $330= 3months