Answer:
x=35
y=72.5
Step-by-step explanation:
![\bf \stackrel{f(x)}{0}=-(x+9)(x-21)\implies \begin{cases} 0=-x-9\implies &x=-9\\ 0=x-21\implies &21=x \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \boxed{-9}\rule[0.35em]{8em}{0.25pt}0\rule[0.35em]{5em}{0.25pt}\stackrel{\downarrow }{6}\rule[0.35em]{10em}{0.25pt}\boxed{21}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bf%28x%29%7D%7B0%7D%3D-%28x%2B9%29%28x-21%29%5Cimplies%20%5Cbegin%7Bcases%7D%200%3D-x-9%5Cimplies%20%26x%3D-9%5C%5C%200%3Dx-21%5Cimplies%20%2621%3Dx%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cboxed%7B-9%7D%5Crule%5B0.35em%5D%7B8em%7D%7B0.25pt%7D0%5Crule%5B0.35em%5D%7B5em%7D%7B0.25pt%7D%5Cstackrel%7B%5Cdownarrow%20%7D%7B6%7D%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D%5Cboxed%7B21%7D)
now, this parabolic graph, has two zeros/solutions/x-intercepts, at -9 and 21.
for a quadratic equation, the vertex will be right in between the x-intercepts, namely in this case between -9 and 21, right in the middle, namely at 6, and is where the axis of symmetry is at, x = 6.
Answer:
Domain [-4,4]
Range [-2,2]
Step-by-step explanation:
The domain is the x-values of the graph and the range in the y-values. When writing domain and range it should be from least to greatest. So to find the domain find the lowest x-value on the graph and then the highest. Next, do the same for y-values. Finally, either surround each value with parentheses or bracket, the difference is that brackets mean that value is included, while parentheses mean that value is not actually on the graph.
In this case, the lowest x-value is -4 and the highest is 4, both values are included as signified by the closed circles, therefore the domain is [-4,4]. The lowest y value is -2 and the highest is 2, both are included, therefore the range is [-2,2].
You can cross multiply for this problem. So:
So K=35!
Hope this helps! :)
Answer:
hight so im not sure about the test you are talking about but its 1/2 or 0.5 both are right..
Step-by-step explanation:
Its basic math..
