Answer:
-0.025
Step-by-step explanation:
Answer:
4^x - 2^(x+1) = 48
x=3
Step-by-step explanation:
Hey there!
<em>C = 0.25x + 40</em>
(a) For this part we solve for C when x = 240. Substitute 240 in for x.
C = 0.25(240) + 40
Multiply 240 by 0.25.
C = 60 + 40
Add.
C = 100
The cost is $100.
<u>Check</u>
100 = 0.25(240) + 40
100 = 60 + 40
100 = 100
(b) For this part we solve for x when C = 180. Substitute 180 for C.
180 = 0.25x + 40
Subtract 40 from each side.
140 = 0.25x
Divide each side by 0.25.
560 = x
This person drove 560 miles.
<u>Check</u>
180 = 0.25(560) + 40
180 = 140 + 40
180 = 180
(c) For this we must make an inequality with C = 150.
Since they want the cost to be <em>no more than</em> 150, we will use the ≥ symbol.
C ≥ 0.25x + 40
Substitute 150 for C. Solve for x.
150 ≥ 0.25x + 40
Subtract 40 from each side.
110 ≥ 0.25x
Divide each side by 0.25.
440 ≥ x
The max number of miles they can drive is 440.
<u>Check</u>
150 ≥ 0.25(440) + 40
150 ≥ 110 + 40
150 ≥ 150
Hope this helps!
Answer:
second one
Step-by-step explanation:
y needed to be itself
Answer:
Equation I , II and V.
Step-by-step explanation:
Number II:L
0.5(8x + 4) = 4x + 2 Distributing the 0.5 over the parentheses:
4x + 2 = 4x + 2
The 2 sides of this equation are identical so we can make x any value to fit this identity. That is there are Infinite Solutions.
I and V are also included:
I: 12x + 24 = 12x + 24.
V left side = right side.
