well, looking at the picture of this vertically opening parabola, it has a vertex at 0,0 and it passes through 2,1 hmm ok
![~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ y = a(x-0)^2+0\qquad \stackrel{\textit{we also know that}}{x=2\qquad y = 1}\qquad \implies 1=a(2-0)^2+0 \\\\\\ 1=4a\implies \cfrac{1}{4}=a~\hspace{10em} \boxed{y=\cfrac{1}{4}x^2}](https://tex.z-dn.net/?f=~~~~~~%5Ctextit%7Bvertical%20parabola%20vertex%20form%7D%20%5C%5C%5C%5C%20y%3Da%28x-%20h%29%5E2%2B%20k%5Cqquad%20%5Cbegin%7Bcases%7D%20%5Cstackrel%7Bvertex%7D%7B%28h%2Ck%29%7D%5C%5C%5C%5C%20%5Cstackrel%7B%22a%22~is~negative%7D%7Bop%20ens~%5Ccap%7D%5Cqquad%20%5Cstackrel%7B%22a%22~is~positive%7D%7Bop%20ens~%5Ccup%7D%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20y%20%3D%20a%28x-0%29%5E2%2B0%5Cqquad%20%5Cstackrel%7B%5Ctextit%7Bwe%20also%20know%20that%7D%7D%7Bx%3D2%5Cqquad%20y%20%3D%201%7D%5Cqquad%20%5Cimplies%201%3Da%282-0%29%5E2%2B0%20%5C%5C%5C%5C%5C%5C%201%3D4a%5Cimplies%20%5Ccfrac%7B1%7D%7B4%7D%3Da~%5Chspace%7B10em%7D%20%5Cboxed%7By%3D%5Ccfrac%7B1%7D%7B4%7Dx%5E2%7D)
Answer:
47,643
Step-by-step explanation:
This question is basically asking you to add up all of these numbers together and present the end result.
1) 40,000 + 7,000 = 47,000
2) 600 + 40 + 3 = 643
3) 47,000 + 643 = 47,643.
Answer:
2x![\sqrt{15}](https://tex.z-dn.net/?f=%5Csqrt%7B15%7D)
Step-by-step explanation:
we can use the Pythagorean Theorem to find the missing side (a):
a² + (2x)² = (8x)²
a² + 4x² = 64x²
a² = 60x²
a = √60x²
a =
·
· ![\sqrt{x^2}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%7D)
This can be simplified to be 2x![\sqrt{15}](https://tex.z-dn.net/?f=%5Csqrt%7B15%7D)
Answer:
-13
Step-by-step explanation:
Given that:
Average temperature for a period of 4 days = - 8
Average temperature for a 5 day period = - 9
Temperature on the 5th day:
(total temp for the 4 days + 5th day temperature) / 5 = - 9
Let 5th day temperature = x
Total temperature for the 4 days = 4 * - 8 = - 32
(-32 + x) / 5 = - 9
-32 + x = - 45
x = - 45 + 32
x = - 13
Answer:
<em>See above photograph</em>
Step-by-step explanation:
This is how your graph will look like with an x-intercept of [−5, 0] (will not see, according to the scale, but on my device, you can), and a y-intercept of [0, 50]. The way to figure out all the coordinates upon this scale is to simply create a y-x value chart. Plug in each input value [x-value] to get your output value [y-value]:
<u>x|y</u>
0|50
1|60
2|70
3|80
4|90
5|100
6|110
7|120
8|130
9|140
10|150
11|160
Then, you simply just draw your line based of this chart.
I am joyous to assist you anytime.