Answer:
Step-by-step explanation:
So we have the expression:
For both the numerator and the denominator, factor out a 5:
The term in the numerator can be factored. This is the difference of two squares pattern:
Both layers have a 5(x+2). Cancel them, Since we know that x <em>cannot</em> be -2, we can safely do so:
And we're done!
Notes:
If we weren't told that x ≠ -2, then we cannot divide them because if x <em>did</em> equal -2, the equation would be undefined. However, since we were given that, we can simplify.
However, even if we weren't given x ≠ -2, we can <em>still</em> simplify, but we need to add the restraint ourselves. This must be done, or else the equation won't be correct.
Answer:
It would not
Step-by-step explanation:
(12-4)=4+1 would be 8=5
12-4=4+1 would also be 8=5
Answer:
y = 3·2^x
Step-by-step explanation:
At x=0, f(0) = a = 3
At x=1, f(1) = a·b = 3b = 6 ⇒ b = 6/3 = 2
So, the function is ...
f(x) = 3·2^x
Answer:
a. Chart (attached)
b. and c. graph attached
Step-by-step explanation:
a. We use the equation given to us and plug in the values of "x" that have been shown to find the corresponding values of y.
So, when x=0, 
when x=20, 
when x=40, 
b. The graph has been shown in a similar manner. All the three points of part a are connected to form the straight line y=6.75x+25. So, we have (0,25), (20,160) and (40, 295)
c. The y axis is the earnings in dollars and the x axis is the number of hours worked.
