What is the fully factored form of 32a^3 + 12a^2?
1 answer:
<u>Answer:</u>
<u>Step-by-step explanation:</u>
32a^3 + 12a^2
To factorize this, start by taking the common variable out. As we have two powers for the same variable a, we can take the smaller power of a as a common to get like shown below:
32a^3 + 12a^2
a^2 (32a + 12)
Now when you have taken the variable as a common, try and take out a common number from the coefficient of a as well:
a^2 (32a + 12)
4a^2 (8a + 3)
So, the fully factored form of 32a^3 + 12a^2 is 4a^2 (8a + 3).
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The equation 0.15 x + 150 ≥ 450 will help Teagan determine how much he has to sell today ⇒ A
Step-by-step explanation:
The given is:
- The computer store pays its employees $150 per day plus a commission of 15% of their sales
- Teagan wants to make at least $450 today
We need to find which equation will help Teagan to determine how much he has to sell today
Assume that he has to sell by $x today
∵ The store pays $150 per day plus a commission of 15%
of their sales
∵ Teagan's total sales = x
- Multiply 15% by x, then add the product by 150
∴ Teagan makes = 15% × x + 150
∵ 15% × x = × x = 0.15 x
∴ Teagan makes = 0.15 x + 150
∵ Teagan wants to make at least $450 today
- At least means ≥
∴ Teagan makes ≥ 450
- Substitute Teagan makes by 0.15 x + 150
∴ 0.15 x + 150 ≥ 450
The equation 0.15 x + 150 ≥ 450 will help Teagan determine how much he has to sell today
Learn more:
You can learn more about the linear inequality in brainly.com/question/6703816
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Answer:
In case (a) car makes 105° turn.
In case (b) car makes 75° turn.
In case (c) car makes 105° turn.
Step-by-step explanation:
Figure is redrawn To explain properly (in attachment)
Given : streets are parallel means ║
,
AB - 4th street , CD - 3rd street and XY - King Ave.
∠XLA = 75°
To find : (a) ∠XLB
(b) ∠LMD (left onto 3rd streat means left of car)
(c) ∠YMD (right means right side of car)
∠XLB + ∠XLA = 180° (Linear Pair = 2 adjacent angles are
supplementary)
∠XLB + 75° = 180°
∠XLB = 180 - 75
∠XLB = 105°
∴ In case (a) car makes 105° turn.
∠LMD = ∠XLA = 75° (Corresponding angles of parallel lines are equal)
∠LMD = 75°
∴ In case (b) car makes 75° turn.
∠YMD + ∠LMD = 180° (Linear Pair = 2 adjacent angles are
supplementary)
∠YMD + 75° = 180°
∠YMD = 180 - 75
∠YMD = 105°
∴In case (c) car makes 105° turn.
