Answer:
<em>y = - cos ( </em>
<em> x + </em>
<em> ) </em>
Step-by-step explanation:
y = A cos ( Bx + C) + D
Vertical shift D = 0
A = - 1
Compression / Stretching B
Period of given function is
Period of cos x is 2π
=
⇒ B =
Horizontal shift is C ÷ B
Horizontal shift of given function is
= C ÷
⇒ C =
So, the equation of given function is
<em>y = - cos ( </em>
<em> x + </em>
<em> ) </em>
Answer: The correct set is choice D.
We are looking for the same ratio with the given set of measurements. So lets start by determine the ratio of nuts to raisins. It is 40.5 to 48.6 or reduced it is 5 to 6. If you divide the fraction, you get the decimal 0.83333.
Only one of the relationships given has the same ratio. It is choice D. 11 to 13.32 can be divided to get 0.83333.
Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (5, 4)
m =
=
= 
Interpreting your expression as

when
approaches zero, the numerator approaches 3:

The denominator approaches 0, because 
Moreover, we have

So, the limit does not exist, because left and right limits are different:

-8y + 4(11y - 3) =
-8y + 44y - 12 =
36y - 12 <==