2(7/2)^x = 49/2
Divide both sides by 2:
(7/2)^x = 49/4
I notice that 49/4 can be rewritten as (7/2)^2, so we now have:
(7/2)^x = (7/2)^2
The only way for this to be true is if x = 2. Thus, we are done.
Where is the rest of the question?
Answer:
y = -0.5x - 2
Step-by-step explanation:
equation: f(x) = mx + b
f(-4) : -4m + b = 0 ...(1)
f(0): 0m + b = -2 b = -2 ... plug in (1)
-4m - 2 = 0
m = - 1/2 = - 0.5
linear equation: y = -0.5x - 2
I do not know the full question being asked, but if he reads 3/4 chapters in 4/5 hours, he would read 6/4 chapters, or 1 1/2 chapters in 1 3/5 hours.
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