<span>Given that f(x) = 2x + 5 and g(x) = x − 7
</span>f(g(x)) = 2(x − 7) + 5
f(g(x)) = 2x - 14 + 5
f(g(x)) = 2x - 9
when x = −3 , f(g(-3)) = 2(-3) - 9 = - 6 - 9 = -15
Answer
<span>A. −15</span>
If you meant ori as original and it was reflected over the y axis then the new coordinates would be (2,-3)
Answer:
a) How many loops does this pattern exhibit = 3Loops
b) What is the fundamental frequency of vibration of the wire = 50Hz
c) how many loops arepresent in the new pattern = 1 Loop
Step-by-step explanation:
The concept of general wave equation is applied and then compared to the equation given in the question to determine the amplitude A, and angular frequency w as shown in the attached file.
Let the total number of gum balls in the jar be x, then the number of blue balls in the jar is 0.2x and the number of green balls is 10 + 0.2x and the number of red balls are 0.5(0.2x) = 0.1x.
Let the initial number of yellow balls in the jar be y, then

The initial number of white balls was 0.275x.
Thus,

Thus, the initial number of yellow balls was 0.175x = 0.175(200) = 35.
The initial number of white balls was 0.275x = 0.275(200) = 55.
One-fifth of white balls = 1/5(55) = 11.
Therefore, the number of yellow balls in the jar was 35 + 11 = 46.
With these values x = 14.
In order to find this, we must note that LM will be half of KM (since L is the midpoint). Because we know this, we also know that we can multiply LM by 2 and set equal to KM.
2LM = KM
2(2x + 4) = 5x - 6
4x + 8 = 5x - 6
8 = x - 6
14 = x