9514 1404 393
Answer:
see attached
Step-by-step explanation:
The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.
y = 2(x^2 -4x) +3
y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square
y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form
Since both of them are 3 meters from one side of the 25 meter pool, the distance that they have to cover is actually only 22 meters only. To answer this item, we let x be the distance covered by Ario and 22-x be his remaining distance. Such that,
x/(22-x) = 1/4
The value of x from the equation is 4.4.
Therefore, the distance that Ario had covered is 4.4 m.
Answer:
1. x=17.5
2. x=77
Step-by-step explanation:
1. -x=-3x+35
=2x=35
x=17.5
2. -x/7+8=-3
=-x/7=-11
=-x=-77
x=77
Infinitely many solutions means that you have the same thing on both sides of the equation no matter what value of x you plug in, right?
We just need both sides to be 3x then, correct?
If a were equal to 3 and b were equal to 0, we'd have
3x = (3)x + 0
Which is essentially 3x = 3x
So that means a = 3 and b = 0 must work!
Let's say x = 5
3(5) = 3(5) + 0
15 = 15 + 0
15 = 15
That means that a = 3 and b = 0 is your final answer :)
