You find the x coordinates using x = -b/2a = -6/2(-1) = 3
Substitute 3 in the equation and find y
y = -(3^2) + 6(3) - 12 = -9 + 18 - 12 = -3
Vertex (3,-3)
Answer:
If x = 7 y = 20
Step-by-step explanation:
As the x goes up by 1 you see that the y goes up by 2.
y = 2x + 6
Using that equation gets you your y
y = 2(7) + 6
y = 14 + 6
y = 20
To answer this question, you need to draw out the graph first. By doing so, you will be able to know where the other endpoint is located. (Fig. 1)
Next, count the number from the midpoint to the endpoint to determine the coordinates for the other endpoint. (Fig. 2)
Example: From (2, 5) to (6, 3)
x: 2 to 6 = 4 steps
y: 5 to 3 = 2 steps
From there, you can determine the other endpoint like this.
Example: From (2, 5) to the other endpoint
x: 2 to x1 = 4 steps
y: 5 to y1 = 2 steps
Therefore, x1 = -2 and y1 = 7
Other endpoint: (-2, 7)
Sorry for the messy drawing, it is hard to draw without a pen. Haha... hope this helps :)
Answer:
q < 56
Step-by-step explanation:
q +12 -2(q -22) > 0
q +12 -2q +44 > 0
56 -q > 0
q < 56
Answer:
If he spends $120 dollars a month, and he cut's that down to $50 a month, we should create a pattern to visualize the months.
Step-by-step explanation:
120- 50= 70 ($70 saved each month)
Month 1- $70 saved total
Month 2- $140 saved total
Month 3- $210 saved total
Month 4- $280 saved total
Month 5- $350 saved total
Month 6- $420 saved total
It takes 6 months to get 400 saved. We could also divide to get
5.714285, but it would takes 6 months before reaching the goal. :)