Answer:
B-15 pounds
Step-by-step explanation:
Answer:
k = 5
Step-by-step explanation:
given f(x) then f(x) + k represents a vertical translation of f(x)
• If k > 0 then a shift of k units up
• If k < 0 then a shift of k units down
f(x) crosses the y- axis at - 2
g(x) crosses the y- axis at 3
Thus g(x) is 5 units vertically up from f(x)
since g(x) = f(x) + k → then k = 5
You would do 45 divided by 9 which is 5. Then you do 5x7= 35 and that's your answer
The midline of the sine function is 0. The +3 added to the sine function moves the midline of f(x) to f(x) = 3.
_____
You may be expected to write the equation as y = 3.
A’s increase is 1.8/1.5=6/5; B’s increase is 1/0.6=5/3.
A formula for A is A(t)=1.5(6/5)^t and for B, B(t)=0.6(5/3)^t where t is years since 2004.
When A=B, 1.5(6/5)^t=0.6(5/3)^t.
Taking logs: log1.5+tlog(6/5)=log0.6+tlog(5/3), t(log(5/3)-log(6/5))=log1.5-log0.6.
tlog(25/18)=log2.5, t=log2.5/log(25/18)=2.7893 approx.
This occurs during 2006 around mid-October.
Common sales=1.5(6/5)^2.7893=0.6(5/3)^2.7893=$2.4943 billion.
