Answer:
21 5/9
Step-by-step explanation:
Answer:
Step-by-step explanation:
I don’t リージー now why to do
Answer:
#7. JK = 1
Step-by-step explanation:
So all these problems are similar in the fact that you are given three pieces of information and you need to determine x. Let's look at #7.
We are to find the length JK but we are given it in terms of x. To find the length, we need to find x. Using the information we have about KL and JL, we can find this. Note, the value of JL is 5, and the value of KL is x + 8.
JK + KL = JL
( 2x + 9 ) + ( x + 8 ) = 5
3x + 17 = 5
3x = -12
x = -4
Now that we have the value of x, we can find the value of JK:
JK = 2x + 9
JK = 2(-4) + 9
JK = -8 + 9
JK = 1
Hence, the length of JK is 1.
Using this same basic idea, you can solve all of these problems.
Cheers.
Problem 10
The two functions <u>are inverses</u> of each other. Why? Because we can think of f(x) = (x-7)/(-2) as y = (x-7)/(-2).
Swap x and y to get x = (y-7)/(-2). Solving for y leads to y = -2x+7 showing that g(x) = -2x+7 is the inverse of f(x) = (x-7)/(-2). This process can be done in reverse to get the same result.
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Problem 11
y = a(6)^(t/2)
y = a( 6^(1/2) )^t
y = a(2.4494897)^t
y = a( b )^t
where b = 6^(1/2) = 2.4494897 approximately
Set b equal to 1+r and solve for r
1+r = 2.4494897
r = 2.4494897-1
r = 1.4494897
This rounds to about r = 1.45
The r value is the decimal form of the percentage, which means we move the decimal point over two spots to the right to get 145% approximately
Answers:
The equation is roughly y = a(1 + 1.4494897)^t
The growth rate is approximately 145%
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Problem 12
You have the correct answer. Nice work.
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Problem 13
You are very close to the correct answer. However, you're missing the base of the log.
The answer should be . So you'll need to write in a small "49" under the log.
The general rule is that exponential equations in the form are equivalent to the log version of . For each equation, b is the base. The idea of logs is to isolate the exponent.