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
Answer:
Part 1: 114,570,685 people
Part 2: The population grew by 2.5% (1,722,862 people)
Step-by-step explanation: For part 1 you would multiply 100,236,820 by 1.143 because of the fact that your percentage is increasing. so the 1 before the decimal point stands for 100% of the starting number and the .143 stands for the 14.3% that the population is increasing by.
Part 2 you would divide 53,594,378 by 55,317,240 to get approximately .975. .975 shows that 53,594,378 is about 97.5% of 55,317,240. You then subtract the numbers 100 and 97.5 to get 2.5. 2.5 is the percentage that the population is increasing by. So, then you could just subtract 55,317,240 and 53,594,378 to get 1,722,862. This is the amount of people the population increased by. Then you just put your answer that the population increased. That it increased by 2.5% and 2.5%= 1,722,862 people
I hope this helps you :)
Answer:
Step-by-step explanation:
Answer:
a.) Between 0.5 and 3 seconds.
Step-by-step explanation:
So I just went ahead and graphed this quadratic on Desmos so you could have an idea of what this looks like. A negative quadratic, and we're trying to find when the graph's y-values are greater than 26.
If you look at the graph, you can easily see that the quadratic crosses y = 26 at x-values 0.5 and 3. And, you can see that the quadratic's graph is actually above y = 26 between these two values, 0.5 and 3.
Because we know that the quadratic's graph models the projectile's motion, we can conclude that the projectile will also be above 26 feet between 0.5 and 3 seconds.
So, the answer is a.) between 0.5 and 3 seconds.
