Answer:
LEFT
k + 3 = 20,
k = 17
RIGHT
3x + 5 = 32,
k = 9
Step-by-step explanation:
For the left side, you have k + 3 on one side equaling 20, so the equation is
k + 3 = 20
To solve is as follows
k + 3 = 20
- 3 - 3
k = 17
For the right side,
You have 3 x's and 5 1's right? Adding them together will equal 32 (Other side
So your equation is 3x + 5 = 32
To solve is as follows
3x + 5 = 32
- 5 -5
3x = 27
Dividing both sides by 9 we get x = 9
Reasoning; you want to cancel out everything with x so that you got x alone on one side.
Hope this helps, if not comment on this telling me which step I did that you dont understand and I'll explain it.
72×3.14=226.08 millimeters
Do you want the full answer
It could be almost anything, but an example is three (3).
Answer:
- y = -6
- x=2 and x=6
- Greatest value of y is y=2 and it occurs when x = 4
- For x between x = 2 and x = 6, y > 0
Step-by-step explanation:
<u>Definition</u>
- A parabola is a curve where any point is at an equal distance from:
a fixed point (the focus ), and
a fixed straight line (the directrix )
From the graph we can see that this is indeed so. We can even calculate the parabola equation from the given graph but since that is not required, I am not illustrating the steps here to do that
- The y-intercept is the value of y where the parabola cuts the y axis and from the graph we see that this occurs at y = -6
- The x-intercepts are the x-values where the parabola crosses the x-axis and we can see that this occurs at x = 2 and x = 6
- The greatest value of y occurs at the vertex of the parabola and we see that the vertex is at (4,2) ie greatest value of y is at y = 2 and occurs at x=4
- Between x =2 and x = 6 we see that the y values greater than 0 ie y > 0
(Note on last question: If you exclude these two points then y > 0 between x=2 and x=6.Specifically it is 0 at x =2 and x=6 and > 0. So if you include these two points then y ≥ 0. I have taken it as excluding the two points, x = 2 and x =6)
