Answer:
Step-by-step explanation:
f(x) = 3x + 1 and g(x) = x^2 - 6
(f + g) (x)
(3x + 1) + (x^2 - 6)
3x + 1 + x^2 - 6
3x - 5 - x^2
=> -x^2 + 3x - 5
I hope this helps!
Answer:
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
Step-by-step explanation:
Let us represent:
The number of liters of 25% acid solution = x
The number of liters of 40% acid solution = y
Our system of Equations =
x + y = 240 liters....... Equation 1
x = 240 - y
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.
25% × x + 40% × y = 240 liters × 30%
0.25x+ 0.4y = 72...... Equation 2
We substitute 240 - y for x in Equation 2
0.25(240 - y)+ 0.4y = 72
60 - 0.25y + 0.4y = 72
Collect like terms
- 0.25y + 0.4y = 72 - 60
0.15y = 12
y = 12/0.15
y = 80 Liters
Solving for x
x = 240 - y
x = 240 liters - 80 Liters
x = 160 liters
Therefore,
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
1.8 km >> 1,800 m
1,800 - 740 = 1,060 m
1,060 m >> 1.06 km
The shorter route is 1.06 km.
Answer: 1. B 10(15 12 + 8) = 350
2. C
Step-by-step explanation:
