Answer:
50
Step-by-step explanation:
Diagonals of a parallelogram bisect each other. So HK = JK and GK = LK.
HK = JK
c − 7 = 3c − 33
26 = 2c
c = 13
GK = LK
c + 12 = LK
13 + 12 = LK
25 = LK
GL is the sum of GK and LK:
GL = GK + LK
GL = 2LK
GL = 50
Answer:
x can be any value
Step-by-step explanation:
x can be any value and its output is always a constant 8.
F(x) = -4x + 7
g(x) = 10x - 6
f(g(x)) = -4(10x - 6) + 7
f(g(x)) = -4(10x) + 4(6) + 7
f(g(x)) = -40x + 24 + 7
f(g(x)) = -40x + 31
Answer:
a) T= 3.125h
b) $75
Step-by-step explanation:
Given: We know Tania raised $50 for staying awake 16 hours. We also know the amount of money raised varies directly with the time.
We can divide $50 into 16 hours.
50/16 = 25/8
25/8 = 3.125
3.125 = 3 1/8 (You can use a fraction or decimal, whichever is preferred)
That's how much money she earns per hour. It may not make sense because you have 1/8 of a dollar, so it's okay if you're a little confused on that.
Now let's answer the first question: Write an equation relating the money Tania raised and the amount of time, in hours, she stayed awake.
We know Tania earns $3.125 per hour, so we can make it this equation
T= 3.125h
T can represent Tania's earnings, and 3.125 is how much she earns h, hourly.
Now onto the second question: How much would she have raised by staying awake for 24 h?
We need to multiply 3.125, or 3 1/8, 24 times. Your answer should be $75.
(I apologize in advance if I misread something or made a mistake)
I think that it's - positive linear association with one deviation
