It would be 20% because if you take 100 times 1/5, which is the same as 100/5, you would get 20, which is 1/5.
12 not sure if it's true or not.
Answer:
x = 26.5
Step-by-step explanation:
Step 1: Write equation
(t + 10.5) + 2t + 90 = 180
Step 2: Solve for <em>t</em>
<u>Combine like terms:</u> 3t + 100.5 = 180
<u>Subtract 100.5 on both sides:</u> 3t = 79.5
<u>Divide both sides by 3:</u> t = 26.5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
<u>Substitute:</u> (26.5 + 10.5) + 2(26.5) + 90 = 180
<u>Parenthesis:</u> 37 + 56 + 90 = 180
<u>Add:</u> 180 = 180
∴ x = 26.5
We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is
. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is
, where,
A = Amplitude,
= Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is
. Since function is reflected about x-axis, so our function will be
.
Let us find the value of b.




Upon substituting our given values in general cosine function, we will get:

Therefore, our required function would be
.