Answer:
13
Step-by-step explanation:
Given the equations f(x) = 2x - 3 and g(x) = 6 + 8/x.
We want to find f(g(4))
Essentially, what we are doing, is plugging in 4 into x for g(x) and the outcome of that is what we plug into x for f(x)
So first lets plug in 4 into x for g(x)
g(x) = 6 + 8/x.
We want to find g(4)
g(4) = 6 + 8/4
First divide 8 by 4
g(4) = 6 + 2
Then add 6 and 2
g(4) = 8
Now that we have found g(4) we want to plug the value of g(4), so 8 into f(x)
f(x) = 2x - 3
we want to find f(8)
f(8) = 2(8) - 3
* multiply 2 and 8 *
f(8) = 16 - 3
* subtract 3 from 16 *
f(8) = 13
and we are done!
So we can conclude that f(g(4)) = 13
Answer:
1/7
Step-by-step explanation:
Given that:
Using a scale factor of 7 ; the dimension of a rectangle is : 2 inches by 3 inches
In other to obtain the original size of the rectangle, all that is needed is to multiply the sacl d dimension by the reciprocal of the initi. Scale factor used, that is 1 / 7
This gives :
(2 inches by 3 inches) * 1/7
2/7 inches by 3/7 inches
Hence, required scale factor is 1/ 7
Answer:
<h2>
the associative property</h2>
Step-by-step explanation:
the associative property, the order of the numbers does not change their product
3 * 8 = 8 * 3
24 = 24
Let's first define variables.
y: number of shares of $ 10
x: number of shares of $ 12
We write the system of equations:
10x + 12y = 210
y = 2x + 5
Solving the system:
x = 75/17
y = 235/17
Answer:
she has:
75/17 shares of $ 12
235/17 shares of $ 10
