The function is defined only if
. So, the leftmost point is
, and we have

So, the first point is 
The three additional points seem arbitrary, so let's choose
. We have:

So, the second point is 

So, the third point is 

So, the fourth point is 
Answer:
$ 14.00
Step-by-step explanation:
10 · 1.75 = 17.50
17.50 · .20 = 3.5
17.50 - 3.50 = 14.00
good luck, i hope this helps :)
Answer:
- 3log(10) -2log(5) ≈ 1.60206
- no; rules of logs apply to any base. ln(x) ≈ 2.302585×log(x)
- no; the given "property" is nonsense
Step-by-step explanation:
<h3>1.</h3>
The given expression expression can be simplified to ...
3log(10) -2log(5) = log(10^3) -log(5^2) = log(1000) -log(25)
= log(1000/25) = log(40) . . . . ≠ log(5)
≈ 1.60206
Or, it can be evaluated directly:
= 3(1) -2(0.69897) = 3 -1.39794
= 1.60206
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<h3>2.</h3>
The properties of logarithms apply to logarithms of any base. Natural logs and common logs are related by the change of base formula ...
ln(x) = log(x)/log(e) ≈ 2.302585·log(x)
__
<h3>3.</h3>
The given "property" is nonsense. There is no simplification for the product of logs of the same base. There is no expansion for the log of a sum. The formula for the log of a power does apply:

Numerical evaluation of Mr. Kim's expression would prove him wrong.
log(3)log(4) = (0.47712)(0.60206) = 0.28726
log(7) = 0.84510
0.28726 ≠ 0.84510
log(3)log(4) ≠ log(7)
21 to 3.5
goals to minutes
Answer:
Aaron's bowling score is 30
David's bowling score is 54
Step-by-step explanation:
The variable representing Aaron's score is = a
The variable representing David's bowling score = d
The sum of their scores is 84.
= a + d = 84...... Equation 1
David's bowling score is 6 less than 2 times Aaron's score.
d = 2a - 6
Substituting 2a - 6 for d in Equation 1
a + 2a - 6 = 84
3a - 6 = 84
3a = 84 + 6
3a = 90
a = 90/3
a = 30
Hence, Aaron's bowling score is 30
d = 2a - 6
d = 2(30) - 6
d = 60 - 6
d = 54
David's bowling score is 54