Answer:
(-1,-0.5)
Step-by-step explanation:
We can see from our given graph that Fernando is at point (-4,-2) and Maria is at point (4,2). They will meet at the fountain located somewhere between them.
We can see that fountain will divide our given line segment internally, so we will use section formula, when a point internally divides a segment in ratio m:n.
![[\frac{m*x_2+n*x_1}{m+n},\frac{m*y_2+n*y_1}{m+n}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bm%2Ax_2%2Bn%2Ax_1%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bm%2Ay_2%2Bn%2Ay_1%7D%7Bm%2Bn%7D%5D)
Let location of Maria be point 
and location of Fernando be 
.
Upon substituting m=3 and n=5 in section formula we will get,
![[\frac{3*4+5*-4}{3+5},\frac{3*2+5*-2}{3+5}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B3%2A4%2B5%2A-4%7D%7B3%2B5%7D%2C%5Cfrac%7B3%2A2%2B5%2A-2%7D%7B3%2B5%7D%5D)
![[\frac{12-20}{8},\frac{6-10}{8}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B12-20%7D%7B8%7D%2C%5Cfrac%7B6-10%7D%7B8%7D%5D)
![[\frac{-8}{8},\frac{-4}{8}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B-8%7D%7B8%7D%2C%5Cfrac%7B-4%7D%7B8%7D%5D)
![[-1,-0.5]](https://tex.z-dn.net/?f=%5B-1%2C-0.5%5D)
Therefore, the fountain is located at point (-1,-0.5).
Most quadratic functions(which is what you have there, to a degree of 2) are solved using factoring and the zero product law. If you can not factor then you have to use the quadratic formula or graph it. However this one can be factored.
It's pretty simple to just factor it by inspection but I use the chart method, if you know decomposition that works as well.
Factoring gives us,
Then you set each factor to 0 and solve for x,
And the second one,
The solutions to this equation are
x = -1/2, 3
Two hundred
200
100+100
50*4
0+200
hundred + hundred
150 + 50
1000-800
500-300
300-100
Answer:
3.33times 10^7 because when it is possible to substract 2.24times10^5 from it
Answer:
False
Step-by-step explanation:
2x+7=30
2x=23
X= 23/2 or 11.5
X does not equal 3, therefore the statement is false
