Answer:
The rule that represents the function is 
therefore the function is 
Step-by-step explanation:
We have 5 ordered pairs in the plane xy. This means that <em>every pair has the form (x, y).</em>
Then, we have 5 values of x, which will give us 5 values of y, using the rule that represents the function.
<u>The easy evaluation is that when x=0, the value of y is y=1,</u> and then we can evaluate the rule for x=-1, and x=1, <em>the value of y is the same, y=2</em>. We can see here that we have a parabolic function, that is not centered in the origin of coordinates because when x=0, y=1.
So <u>we propose the rule </u><u> which is correct for the first 3 values of x.</u>
Now, <em>we evaluate the proposed rule when x=2, and when x=3</em>. This evaluations can be written as
Therefore, the rule is correct, and the function is
Answer:
-14
Step-by-step explanation:
You've got a(1)=20
a(1) means a(n) when n=1
the sequence is telling you to take the previous value of a(n), which is a(n-1) and subtract 17
then:
a(2) = a(1)-17 = 20 - 17 = 3
a(3) = a(2) - 17 = 3-17 = -14
Answer:
D. 2x²
Step-by-step explanation:
Ok, so the first thing to do is remember the first number in parentheses is x, and the second number is y.
You're trying to figure out which expression turns x into y in each set.
Just by plugging in the numbers into each expression I found that the answer is 2x².
I'll prove this starting with (1, 2).
1² = 1
2 x 1 = 2
So, y = 2x²!
Next, (2, 8).
2² = 4
2 x 4 = 8
So, y = 2x²!
I'm not going to demonstrate with the other two but I hope you understand. Just plug the values of x and y into the equation and see which is correct.
Answer:
Step-by-step explanation:
<u>Step 1: Determine the area of the black area</u>
<u>Step 2: Determine the area of the entire white and black area</u>
<u>Step 3: Determine the difference to just get the white area</u>
Answer:
(Y/4) +3 = 7
Subtract 3 from both sides:
Y/4 = 4
Multiply both sides by 4
Y = 16
