Answer:
y =
x²
Step-by-step explanation:
Given that y and x² are directly proportional then the equation relating them is
y = kx² ← k is the constant of proportion
When x = 2
y = k × 2² = 4k
When x = 5
y = k × 5² = 25k
Then
25k - 4k = 20 ( difference between values is 20 )
21k = 20 ( divide both sides by 21 )
k = 
y =
x² ← equation of proportion
The equation x squared minus 8x+16 represents the data in the graph because if you use the -b/2a x=4. Then if you plug in the 4 for the x in the equation you would come out with the vertex of (4,0). Hope this helps.
Each of the members must raise at least $69.46.
To start they need to raise $552.50. However, they have already raised 12% of it. They only need to raise 88% of it.
552.50 x 0.88 = 486.2
Divide the remaining amount by 7 to determine how much each individual must raise.
486.2 / 7 = 69.46
Answer:
decreasing
Step-by-step explanation:
"Increasing" means the graph is going up from left to right.
"Decreasing" means the graph is going down from left to right.
"Constant" means the graph is "flat" (this is not a technical term) it is keeping the same y value, neither going up nor going down.
What can be super confusing is the
(2.2, 5) mentioned in the question. THIS IS NOT A POINT. It is an interval and points and intervals unfortunately have the same notation sometimes.
An "interval" is a section of the graph, here: FROM 2.2 not including 2.2, TO 5 not including 5. These are like the address on the x-axis. If you look at your graph at 2.2 on the x-axis, it is a peak(relative maximum) and it goes down to the right to where x is 5 where it bottoms out (relative minimum) So on that interval, from 2.2 to 5, the graph is DECREASING.
The slope of a line and the perpendiular line that intercept will always have a product of -1
If the slope k=-1/6, the perperndicular line can be found by finding the product of the slope and -1
-1= (slope)(perpendicular line slope)
perpendicular line slope= slope(-1)
= -1/6(-1)
= 6