Answer:
- 8x^3+1 ⇒ (2x+1)(4x^2−2x+1)
- 2x^4+16x ⇒ 2x(x+2)(x^2−2x+4)
- x^3+8 ⇒ (x+2)(x^2−2x+4)
Step-by-step explanation:
The factoring of the sum of cubes is ...
a³ +b³ = (a +b)(a² -ab +b²)
1. a=2x, b=1
= (2x)³ + 1³
__
2. There is an overall factor of 2x. Once that is factored out, a=x, b=2.
= (2x)(x³ +2³)
__
3. a=x, b=2
= x³ +2³
Answer:
B. 1/6^9
Step-by-step explanation:
6^-2 = 1/6^2
1/6^2 * 6^5 = 6^5/6^2 = 6^3
6^(3 * -3) = 6^-9= 1/6^9
We are concern about the vector (x-x0, y-y0, z-z0)
equaling to 5.
This happens
when √(x-x0)^2 + (y-y0)^2 + (z-z0)^2 = 5
Square
both side:
(x-x0)^2
+ (y-y0)^2 + (z-z0)^2 = 25 , a sphere
Which you will
recognize as a circle of radius one centered at (x0, y0, z0)
<span> </span>
Answer:
Lucas needs 12 cups of dried cherries and 24 cups of dried apricots to make one dozen of snacks for his team
Step-by-step explanation:
For each snacks Lucas uses one cup of dried cherries and 2 cup of dried apricots. One dozen of snack contains a total of 12 snacks. Therefore to prepare 12 snacks (one dozen) the number of dried cherries and dried apricots can be gotten by multiplying the number of dried cherries and dried apricots required for each snack by 12.
Number of dried cherries = 1 cup for each snack × 12 snacks = 12 cups
Number of dried apricots = 2 cup for each snack × 12 snacks = 24 cups
Lucas needs 12 cups of dried cherries and 24 cups of dried apricots to make one dozen of snacks for his team
Answer:
Step-by-step explanation:
k= 15
k+12 ≥ 20
15+12 ≥20
27 ≥ 20 True
