Answer:
f(x) =
Step-by-step explanation:
I. If you see (0, -3) point on the green line
II. Perform x = 0, if y = -3 means the statement is true
=
= - 1
= -2 - 1
y = -3
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1. 18,000 x 1.03 (3% increase) either type 1.03 into your calculator 25 times or use an exponent ↓↓↓↓↓↓↓
18000 x 1.03^25 (25 years past) =37,688.00
Answer:
x = 7/24 y = -1/18
Step-by-step explanation:
3y = -4x + 1
y = (-4/3)x + (1/3)
*plug into the other equation
12x - 9(-4/3x + 1/3) = 4
12x + 12x - 3 = 4
24x = 7
x = 7/24
*now plug into original equation
y = (-4/3)(7/24) + 1/3
y = -1/18
Answer:
1 ¹/₉ hours
Step-by-step explanation:
Let's say L is Larry's speed, C is Curly's speed, and M is Moe's speed.
1 = 2 (L + C)
1 = 1 ⅔ (C + M)
1 = 1 (L + C + M)
Solve the system of equations. First, simplify the equations:
1 = 2L + 2C
3 = 5C + 5M
1 = L + C + M
Double the third equation and subtract the first equation from it:
2 = 2L + 2C + 2M
1 = 2L + 2C
1 = 2M
M = 1/2
Plugging into the second and third equations, we get:
C = 1/10
L = 2/5
Therefore, the time it takes Larry and Moe together is:
1 = t (L + M)
t = 1 / (L + M)
t = 1 / (2/5 + 1/2)
t = 1 / (4/10 + 5/10)
t = 1 / (9/10)
t = 10/9
t = 1 ¹/₉ hours
It takes them 1 ¹/₉ hours, or 1 hour 6 minutes 40 seconds.