ANSWER
EXPLANATION
The given function is
The period of this function can be determined using the formula:
.
The period is
Half the period of this function is:
The function which has this period is
The first choice is correct.
1 gallon is 4 quarts or 8 pints. 9 gallons - 3 gallons= 6 gallons
Then convert it to quarts so, 6×4=24 quarts.
Then subtract that by 10 quarts so, 24-10=14 quarts.
Because you requested the number in pints, you have to convert it again and because there are 2 pints in a quart you multiply it by 2 so, 14×2=28 pints left over.
Answer: 16) Vertex = (3, 39)
17) Vertex = (-2, -17)
<u>Step-by-step explanation:</u>
When given the standard form of a quadratic equation: ax² + bx + c
use the Axis of Symmetry formula to find the x-value of the vertex. x = -b/(2a)
Then plug the x-value into the given equation to find the y-value.
16) y = -x² + 6x + 30
↓ ↓ ↓
a= -1 b=6 c=30
Max: y = -(3)² + 6(3) + 30
= -9 + 18 + 30
= -9 + 48
= 39
Vertex: (3, 39)
***************************************************************************************
17) y = 3x² + 12x - 5
↓ ↓ ↓
a= 3 b=12 c= -5
Min: y = 3(-2)² + 12(-2) - 5
= 3(4) - 24 - 5
= 12 - 29
= -17
Vertex: (-2, -17)
Answer:
Smaller Amount =$206
Larger Amount =$309
Step-by-step explanation:
Let the total amount of money =x
The money will be divided in the ratio 2:3
Total Number of Shares =2+3=5
Therefore:
Smaller Amount
Larger Amount
Four times the smaller amount is one hundred three dollars less than three times the larger amount.
Therefore:
Therefore:
Smaller Amount
Larger Amount