(2x + 1)³
(2x + 1)(2x + 1)(2x + 1)
(4x² + 2x + 2x + 1)(2x + 1)
(4x² + 4x + 1)(2x + 1)
(8x³ + 4x² + 8x² + 4x + 2x + 1)
8x³ + 12x² + 6x + 1
Answer:
Calcium in a cup of milk x = 330 mg
Calcium in cup of spinach y = 150 mg
Step-by-step explanation:
Let call " x " and " y " quantity of calcium ( in mg ) in a cup of milk, and spinach respectively, then according to problem statement we have:
3*x + 1*y = 1140 and 2*x + 2*y = 960
We have a two equation system, we need to solve for x and y then:
y = 1140 - 3*x
2*x + 2 * ( 1140 - 3*x ) = 960
2*x + 2280 - 6*x = 960
-4*x = - 2280 + 960
-4*x = - 1320
x = 1320 / 4 ⇒ x = 330 mg
And y = 1140 - 3*x
y = 1140 - 3* 330 ⇒ y = 1140 - 990 ⇒ y = 150 mg
(x + 3)(2x - 1) = x(2x - 1) + 3(2x - 1) = 2x^2 - x + 6x - 3 = 2x^2 + 5x - 3
Answer:
- 18x + 15y ≤ 300
- x ≥ 0; y ≥ 6
Step-by-step explanation:
Variables are defined in the problem statement.
18x +15y ≤ 300 . . . . total budget
y ≥ 6 . . . . . . . . . . . . minimum number of annuals
x ≥ 0 . . . . . number of perennials cannot be negative
This system of inequalities describes the situation.
Answer:
33.75 miles in 45 minutes,
45 miles in an hour
Step-by-step explanation:
45 minutes: 2 1/3= 7/3 ---> 7/3*3=7,
1 3/4= 7/4 ---> 7/4*3=5.25
car travels 5.25 miles for every 7 minutes,
45/7*5.25= 33.75 miles
1 hour (60 minutes):
using that the car travels 5.25 miles for every 7 minutes,
60/7*5.25= 45 miles
Hope that makes sense!
