Answer:
Point on Midline (0,3)
Maximum (9π/2,3)
Minimum (-9π/2,-3)
Step-by-step explanation:
in the given sine function which is in the form of f(x) = a sin(bx+c) +d
a = amplitude
period = frequency = 18π
Therefore b = 2π/18π = 1/9
Y intercept = vertical shift = 3
Horizontal shift = d = 0
Therefore the sine function will be
f(x) = 6 sin(x/9) + 3
Now first point on the midline is (0,3)
Second point is maximum (9π/2,9)
Third point be a minimum value ( -9π/2,-3)
Answer:
8256
Step-by-step explanation:
Find the greatest common factor (GCF)
in this case it would be 9
divide each term by the GCF
36 / 9 = 4
9y / 9 = y
put the two "new" terms in parenthesis and the GCF in front of it
9 (4 + y)
it could also be 9 (y + 4) because of Commutative Property of Addition
So... let's say the amounts invested were "a" at 6% and "b" at 7.5%.
ok.. hmm what's 6% of a? well, (6/100) * a or 0.06a.
what's 7.5% of b? well, (7.5/100) * b or 0.075b.
now... we know, whatever "a" and "b" are, they total the investment of 5000 bucks, thus
a + b = 5000and the interest yielded was 337.50, thus
0.06a + 0.075b = 337.50thus
solve for "a", to see how much was invested at 6%.
what about "b"? well, b = 5000 - a.
Answer:
y = 4"x +2
Step-by-step explanation:
We choose negative 4 because the graph lies below the asymptote and we chose positive 2 because the horizontal asymptote is on the positive section of the y axis
