Answer:
Solve for f.
f(−4)=−3x+6
Step 1: Divide both sides by -4.
−4f/-4 = −3x+6/−4
f=3/4x + −3/2
Answer:
f= 3/4x + −3/2
The sequence is geometric, so
for some constant r. From this rule, it follows that
and we can determine the first term to be
Now, by substitution we have
and so on down to (D)
(notice how the exponent on r and the subscript on a add up to n)
1a) f(x) = I x+2 I. This is a piece-wise graph ( V form)
x = 0 →f(x) =2 (intercept y-axis)
x = -2→f(x) = 0 (intercept x-axis)
x = -3→f(x) = 1 (don't forget this is in absolute numbers)
x = -4→f(x) = 2 (don't forget this is in absolute numbers)
Now you can graph the V graph
1b) Translation: x to shift (-3) units and y remains the same, then
f(x-3) = I x - 3 + 2 I = I x-1 I
the V graph will shift one unit to the right, keeping the same y. Proof:
f(x) = I x-1 I . Intercept x-axis when I x-1 I = 0, so x= 1
The answer is n=28;
1. Subtract 14 from both sides (-n/2 = -14)
2. Multiply by 2 on both sides to get rid of the fraction (-n = -28)
3. Divide by -1 to get n by itself (n = 28)
You could also eliminate step three by multiplying by -2 instead of just 2.
Hope this helps!
Assuming this question is trying to enquire as to how many bottle of
water there are in each case, you simply need to divide 162 by 9 to find
the answer, which is that there are 18 bottles of water in each case.
