Answer:
6 (2 x + 1)
Step-by-step explanation:
Simplify the following:
4 (3 x + 2) - 2
Hint: | Distribute 4 over 3 x + 2.
4 (3 x + 2) = 12 x + 8:
12 x + 8 - 2
Hint: | Group like terms in 8 + 12 x - 2.
Grouping like terms, 8 + 12 x - 2 = 12 x + (8 - 2):
12 x + (8 - 2)
Hint: | Subtract 2 from 8.
8 - 2 = 6:
12 x + 6
Hint: | Factor out the greatest common divisor of the coefficients of 12 x + 6.
Factor 6 out of 12 x + 6:
Answer: 6 (2 x + 1)
Answer:every point on the original graph is an ordered pair (x,y) where y = f(x). For the second graph, the y values will be doubled in each case, for the original x values. So this is a VERTICAL STRETCH.
Answer: 17 containers
Step-by-step explanation:
Debbie bought 8 1/2 lb of ground turkey and she packed the turkey in 1/2 lb containers before put the turkeys in the freezer.
To calculate the number of containers she used for packing the turkey, we divide 8 1/2lb by 1/2 lb.
= 8 1/2 ÷ 1/2
We change 8 1/2 to improper fraction
= 17/2 ÷ 1/2
= 17/2 × 2/1
= 17
Debbie would need 17 containers to pack the turkey.
Answer:
The exact distance is √65 units
Step-by-step explanation:
To solve this problem we first have to make the difference between (-5, 1) and (3, 0)
(3 , 0) - (-5 , 1) =
3 - (-5) = 8
0 - 1 = -1
(8 , -1)
Now that we have the distance in x and r we can use Pythagoras to calculate the distance of the diagonal
a = 8
b = -1
h² = a² + b²
h² = 8² + (-1)²
h² = 64 + 1
h² = 65
h = √65
The exact distance is √65 units