Answer:
- domain: [0, 1.5]
- range: [0, 18]
Step-by-step explanation:
Jennie will complete her ride after 1.5 hours, so the function has no utility except for time values between 0 and 1.5 hours.
The domain is the interval [0, 1.5] (hours).
__
The range of the function is the set of possible distances along the trail, so will be values between (and including) 0 and 18 miles.
The range is the interval [0, 18] (miles).
For e2020 the answer is C
Step-by-step explanation:
given :
2x - 3y = 11
-6x + 8y = 34
find : the solutions of the system by using Cramers Rule.
solutions:
in the matrix 2x2 form =>
[ 2 -3] [x] [11]
=
[-6 8] [ y] [34]
D =
| 2 -3 |
|-6 8 |
= 8×2 - (-3) (-6)
= 16-18 = -2
Dx = | 11 -3 |
| 34 8 |
= 11×8 - (-3) (34)
= 88 + 102
= 190
Dy = | 2 11 |
|-6 34 |
= 2×34 - (-6) (11)
= 68 + 66
= 134
x = Dx/D = 190/-2 = -95
y = Dy/D = 134/-2 = -67
the solutions = {-95, -67}
Let's make a system of equations.
1 large bottle = l
1 regular bottle = r
l + r = 113
221 = 2.5l + r
Isolate r in the first equation and substitute it into the second equation:
l + r = 113
r = 113 - l
---
221 = 2.5l + 113 - l
221 = 1.5l + 113
108 = 1.5l
72 = l
Now, substitute that back into the first equation:
l + r = 113
72 + r = 113
r = 41
Finally, check your work by substituting back into both equations:
72 + 41 = 113 --> 113 = 113 <-- True
221 = 2.5(72) + 41 --> 221 = 180 + 41 <--True
Answer:
Franklin sold 72 large bottle of water and 41 regular-sized bottles of water.
Answer:
225 square meters
Step-by-step explanation:
Area of a square:
A = w², where w is the width of the square
Plug in values:
A = 15m²
A = 225 square meters
