Answer:
4/9
Step-by-step explanation:
First of all we need to get rid of the -2 exponent and make it positive in order to solve this equation.
Therefore to do this we just use the reciprocal of 3/2 which is 2/3
Now we have (2/3)^2
Since 2/3 is being squared we used the following equation below:
(2/3) * (2/3)
We multiply 2/3 by itself twice since 2 is the exponent.
Then we get:
2^2
-----
3^2
2 squared is 4 and 3 squared is 9.
Therefore the final answer is 4/9.
I hope this helps have a good rest of your day!
<h3>Answer: 3x + x = 67</h3><h3>To solve: 4x = 67</h3><h3> /4. /4</h3><h3>x = 16.75</h3><h3></h3>
Answer:
The ratios are not equivalent
Step-by-step explanation:
First, in order to find the ratios, we have to change the month to the amount of days.
There are 30 days in April, so we will use this for the ratio.
The ratio for the 3 day weekend is 5:3
The ratio for the month of April is 60:30, which can be simplified to 2:1
So, the ratios are not equivalent, because 5:3 is not equal to 2:1
The correct answer is 10.
In order to evaluate any composite function, you need to first put the value in for the inside function. In this case f(x) is on the inside along with the number 3. So, we input 3 in for x in f(x).
f(x) = 2x + 1
f(3) = 2(3) + 1
f(3) = 6 + 1
f(3) = 7
Now that we have the value of f(3), we can stick the answer in for the outside function, which is g(x).
g(x) = (3x - 1)/2
g(7) = (3(7) - 1)/ 2
g(7) = (21 - 1)/2
g(7) = 20/2
g(f(3)) = 10