Answer: (a) -7 (b) 
(c) 
(d) 4
Step-by-step explanation:
A) f(x) = 2x - 3 when x is between -5 and -2 (including -5 and -2)
B) f(x) = x² when x is between -2 and 2 (including 2)
C) 
when x is between 2 and 5 (including 5)
a) Equation A includes x = -2
f(x) = 2x - 3
f(-2) = 2(-2) - 3
= -4 - 3
= -7
b) Equation B includes x = 
f(x) = x²
c) Equation C includes x = 4
d) Try each equation to see if x falls within the values given.
A) f(x) = 2x - 3
-2.5 = 2x - 3
0.5 = 2x
0.25 = x NOT VALID since x should be between -5 and -2
B) f(x) = x²
-2.5 = x²
NOT VALID since x cannot be an imaginary number
C)
VALID since x is between 2 and 5
An arithmetic sequence (a_n) is as follows:
where
is the first term and d is the constant difference,
thus, we see that the n'th term of an arithmetic sequence is
in our particular case d=5, the third term is 8, so we have:
and the general term is
,
Answer: first term is -2, n'th term is -2+5(n-1)
Answer:
(1,3)
Step-by-step explanation:
1. Solve y-x=2 for x. You should get y=x+2.
2. Substitute that for y in the other equation. the equation should now look like this:
x+x+2=4
3. Simplify: you should find that you get 2x=2. Simplify once more. You should get that x=1.
4. Substitute into first original equation. This should look like this: y-1=2
5. Solve: y=3
Answer: (1,3)
Answer:
I don't know, ask someone else
Step-by-step explanation:
Use the equation y sub 2-y sub 2 over x sub 2-y sub 1
-1 is the answer
