Answer:
12 and 13
Step-by-step explanation:
(a)
To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)
g(2) = 2(2) - 1 = 4 - 1 = 3, then
f(3) = 3² + 3 = 9 + 3 = 12
--------------------------------------------
(b)
To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)
f(2) = 2² + 3 = 4 + 3 = 7, then
g(7) = 2(7) - 1 = 14 - 1 = 13
Answer:
4.8x4=19.2, and then 19.2/4=4.8 feet
Each side would be 4.8 feet
Given the sequence:
6, 10, 14, 18,...
We will find the 75th term
The given sequence is an arithmetic sequence
Because there is a constant common differnce
d = 18 - 14 = 14 - 10 = 10 - 6 = 4
The first term = a = 6
The general formula of the arithmetic sequence is as follows:

Where: n is the nth term
To find the 75th term, substitute with n = 75 and a = 6, d = 4

So, the answer will be the 75th term = 302
Answer:
a) 2 b) -1/2
Step-by-step explanation:
a) im pretty sure the question only asks for the slope of the parallel line y=2x+3, that that would be 2 because they have the same slope
b) the question is phrased weird, but im assuming it wants the same thing from a, (the slope) and the slope of a perpendicular like is always the opposite reciprocal of the original number
for example in y=2x+3:
2 is the original slope
meaning that the perpendicular would be -1/2
<em>the</em><em> </em><em>images</em><em> </em><em>above</em><em> </em><em>are</em><em> </em><em>just</em><em> </em><em>examples</em><em> </em><em>and</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>related</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>answer</em>