Answer:
Train A = 214
Train B = 86
Step-by-step explanation:
a + b = 300
a - b = 128
a + b = 300
a = 128 + b
(128 + b) + b = 300
128 + b + b = 300
128 + 2b = 300
2b = 300 - 128
2b = 172
b = 172 ÷ 2
b = 86
a = 128 + b
a = 128 + (86)
a = 214
<h3>Answer: Check out the screenshots below.</h3>
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Explanations:
Part 1
For the first box, we use the log rule that log(A)+log(B) = log(A*B)
Then in the second box, we'll convert to exponential form. The logs are assumed to be base 10.
The third box then factors and uses the zero product property.
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Part 2
We check each solution generated in part 1.
Plugging x = 5/3 will lead to the same number on each side. Therefore, x = 5/3 is a true solution.
In contrast, plugging x = -2 leads to a false equation. Recall that the domain of y = log(x) is x > 0. This means we cannot replace x with negative numbers. The value x = -2 is extraneous.
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Part 3
There's not much to explain here that isn't already done so on the screenshot below.
With the meal costing $18 and the tip being $15 the total will be $33
Answer:
300pi
Step-by-step explanation:
that is 3/4 of a circle with the radius of 20. Meaning that the area is 300pi
Answer:
A)
Step-by-step explanation:
check that the formula in A works . . .
the 7th term should be 320
a(320) = 5(2)^7-1
= 5(2)^6
= 5(64)
= 320