The maximum number of turning points in a cubic function is 2.
In this case,
The discriminant is
, which means the derivative has no real roots. This means there are no critical points and thus no turning points/relative extrema.
Answer:
(3,10)
Step-by-step explanation:
When x is 3
y is 11, and this is invalid because it is not at accord.
Answer: the cost of each pencil is $0.5
the cost of each eraser is $0.15
Step-by-step explanation:
Let x represent the cost of one pencil.
Let y represent the cost of one eraser.
Becky spent $1.45 for 2 pencils and 3 erasers. This means that
2x + 3y = 1.45- - - - - - - - - -1
Luke spent $2.65 for 5 pencils and 1 eraser. This means that
5x + y = 2.65- - - - - - - - - -2
Multiplying equation 1 by 1 and equation 2 by 3, it becomes
2x + 3y = 1.45
15x + 3y = 7.95
Subtracting, it becomes
- 13x = - 6.5
x = - 6.5/- 13
x = 0.5
Substituting x = 0.5 into equation 2, it becomes
5 × 0.5 + y = 2.65
2.5 + y = 2.65
y = 2.65 - 2.5
y = 0.15
Answer:
It is difficult to give a specific answer without your scenario but maybe this may help you out a bit.
Let's say you have a line like the one attached:
I labelled certain points b and u so you can use it as a reference. Now all you need to do is count all the points that lie on the same line and are found between.
In this case it would be point d and point e because the rest of the points do not line on the same line. For this problem particular scenario, the answer would be 2.
