Answer: y = (x +2)² + 5
<u>Step-by-step explanation:</u>
y = a(x - h)² + k <em>where "a" is the leading coefficient and (h, k) is the vertex</em>
Since we don't know "a", we need to plug in the point (x, y) and the vertex (h, k) to solve for "a": (x, y) = (0, 9) and (h, k) = (-2, 5)
y = a(x - h)² + k
9 = a(0 - (-2))² + 5
9 = a(0 + 2)² + 5
9 = a(2)² + 5
<u>-5 </u> <u> -5 </u>
4 = a(4)
<u>÷4 </u> <u> ÷4 </u>
1 = a
Next, plug in "a" and the vertex (h, k):
y = a(x - h)² + k
y = 1(x +2)² + 5
y = (x +2)² + 5
A.) The temperature rises 10 degrees over 3 hours.
(To explain my reasoning is because at 0 hours the temperature was 30 then at 3 hours the temperature moved up to 40 and at 6 the temperature moved to 50 which means every 3 hours its moving up 10 degrees)
Step-by-step explanation:
We would do multiplication first, because of order of operations.
2x3=6
Now we add.
6+4=10
hope it helps! :3
Answer:
see attachment
Step-by-step explanation:
The y-intercept is +4 for both lines, so only the third selection is appropriate. The lines appear to have a slope of magnitude less than 1, so ±1/2 seems about right.
(We expect at least one of the inequality symbols to include the "or equal to" case so there is no hole at x=0. Alas, it seems the third answer choice doesn't do that.)
Answer:
Option D. 13122 is the answer.
Step-by-step explanation:
As we can see from the table having interval and average rate of change, figures under average rate of change are forming a geometric sequence.
Sequence is 2, 6, 18 , 54, 162, 486.
and we have to find the average rate of change from x = 8 to x = 9, means we have to find 9th term of the given sequence.
Now we know that explicit formula of the sequence can be written as 
where Tn is the nth term of the sequence.
a = first term
r = common ratio
n = number of the term
Now from this explicit formula we can find the 9th term of the sequence.
From the given table
a = 2, r = 3, n = 9

T9 = 13122
Therefore Option D. 13122 will be the answer.