Answer:
Step-by-step explanation:
If it costs $30 to make 6 notebooks then that is $5 for each notebook. So multiply $5 times 50 and you get $250.
Answer:
YZ = 1
XY = 1.5
XYZ 1.33
Step-by-step explanation:
Chris started with $70 in the savings account
What is the equation representing the scenario?
The equation representing the scenario painted in the question is: one half times x plus 15 equals 50
1/2*X+15=50
X/2+15=50
X/2=50-15
X/2=35
X=35*2
X=70
In short the amount Chris started with in the savings account is $70
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Question:
Approximate log base b of x, log_b(x).
Of course x can't be negative, and b > 1.
Answer:
f(x) = (-1/x + 1) / (-1/b + 1)
Step-by-step explanation:
log(1) is zero for any base.
log is strictly increasing.
log_b(b) = 1
As x descends to zero, log(x) diverges to -infinity
Graph of f(x) = (-1/x + 1)/a is reminiscent of log(x), with f(1) = 0.
Find a such that f(b) = 1
1 = f(b) = (-1/b + 1)/a
a = (-1/b + 1)
Substitute for a:
f(x) = (-1/x + 1) / (-1/b + 1)
f(1) = 0
f(b) = (-1/b + 1) / (-1/b + 1) = 1
