Y = 2x² + 30x + 200
y = 2(x² + 15x + 100)
x² = x*x
100 ⇒ 1 x 100 ; 2 x 50 ; 4 x 25 ; 5 x 20 ; 10 x 10
200 = 2x² + 30x + 200
0 = 2x² + 30x + 200 - 200
0 = 2x² + 30x + 0
0 = 2(x² + 15x + ?)
<span>−5 ≤ x ≤ 20</span>
ANSWER
9
EXPLANATION
We want to find the distance between the points (3, -5) and (-6, -5).
The given points have the same y-coordinates .
This means it is a horizontal line.
We use the absolute value method to find the distance between the two points.
We find the absolute value of the distance between the x-values.
The distance between the two points is
|3--6|=|3+6|=|9|=9
Answer:
slope = -4
Step-by-step explanation:
Given the following points on the graph: (-1, 4) (1, -4)
Let (x1, y1) = (-1, 4)
(x2, y2) = (1, -4)
Use the following slope formula:


Therefore, the slope of the line is -4
Answer:
Given,
2 cups of yellow paint is needed for every 3 cups of red paint to make a batch of orange paint,
So, the ratio of yellow paint and red paint in a batch of orange paint = 2 : 3
Make two number lines,
First one represents the multiple of 2 and second one represents the multiples of 3,
By the double number line ( shown below ),
It is clear that,
For 3 batches of orange paint, 6 cups of yellow paint and 9 cups of red paint are needed.