Write down the decimal divided by 1, like this: decimal. Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.). Lastly Simplify (or reduce) the fraction.
Answer:
k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Step-by-step explanation:
Solve for k over the real numbers:
4 k - 10/k = 8
Bring 4 k - 10/k together using the common denominator k:
(2 (2 k^2 - 5))/k = 8
Multiply both sides by k:
2 (2 k^2 - 5) = 8 k
Expand out terms of the left hand side:
4 k^2 - 10 = 8 k
Subtract 8 k from both sides:
4 k^2 - 8 k - 10 = 0
Divide both sides by 4:
k^2 - 2 k - 5/2 = 0
Add 5/2 to both sides:
k^2 - 2 k = 5/2
Add 1 to both sides:
k^2 - 2 k + 1 = 7/2
Write the left hand side as a square:
(k - 1)^2 = 7/2
Take the square root of both sides:
k - 1 = sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
k = 1 + sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
Answer: k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
g(x) = 5^x is your answer
Plug in increasing numbers for x to get the output.
For example: when x = 1
f(1) = 5(1) = 5
g(1) = 5^(1) = 5
when x = 2
f(2)= 5(2) = 10
g(2) = 5^(2) = 25
when x = 3
f(3) = 5(3) = 15
g(3) = 5^(3) = 125
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From the example above, we see that g(x) = 5^x is your answer
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Answer:
1, 3, 5, 7, 9
Step-by-step explanation:
n = 1:
n = 2:
n = 3:
n = 4:
n = 5:
Answer: 1, 3, 5, 7, 9
Step-by-step explanation:
I am not sure, if something else is missing.
but given that one chart we can say that Craig had 2 fastest throws.
they were in the category 70-75 mph.
but we cannot say precisely which one was faster, and how fast it went.
it is also not clear what is the categorization of a border element (e.g. with an exact speed of 60 mph - is it in the 55-60 or in the 60-65 category ? or both ?).
I assume the upper limit of each interval is included, and the lower limit is excluded.
under this assumption we can say the fastest pitch was faster than 70 mph but slower than or equal to 75 mph.
