Answer:

Step-by-step explanation:
Hello, please find below my work.


Hope this helps.
Do not hesitate if you need further explanation.
Thank you
We have
f(x) = a(x – h)²<span> + k
we know the vertex v(5,3)
</span><span>substitute in the values for h and k
</span>f(x) = a(x – 5)²<span> + 3
</span><span>Use another point and substitute in values for x and f(x).
for the point (6,5)
</span><span>Solve for a.
5 = a(6 – 5)2 + 3-------------- > 5=a+3-------------> a=2
</span>
The function is f(x)=a(x – h)2 + k-------- > 2(x – 5)² + 3
f(x)= 2(x – 5)² + 3-------- > 2[x²-10x+25]+3=2x²-20x+50+3=2x²-20x+53
f(x)=2x²-20x+53
<span>
the answer is f(x)=</span> 2(x – 5)² + 3----------------- > (f(x)=2x²-20x+53)<span>
</span>
Answer:
15%
If you get 7.5 from 75 by moving over 1 decimal place then divide 112.50 by 7.5 you get 15 percent as your answer
(n) stands for natural number. Natural numbers are counting numbers such as 1, 2, 3, 4, 5, 6, 7 etc...
So the first term in the sequence would be:
T(1)=1^2 + 3 = 1 + 3 = 4
Answer:
4
Step 1: Convert fractions so they have a common denominator
Step 2: Multiply both fractions by the common denominator
Step 3: Simplify by dividing by the highest common factor
I hope this helps