Consider the two functions as
<span>y1(x) =3x^2 - 5x,
y2(x) = 2x^2 - x - c
The higher the value of c, father apart the two equations will be.
They will touch when the difference, i.e. y1(x)-y2(x)=x^2-4*x+c has a discriminant of 0.
This happens when D=((-4)^2-4c)=0, or when c=4.
(a)
So when c=4, the two equations will barely touch, giving a single solution, or coincident roots.
(b)
when c is greater than 4, the two curves are farther apart, thus there will be no (real) solution.
(c)
when c<4, then the two curves will cross at more than one location, giving two distinct solutions.
It will be more obvious if you plot the two curves in a graphics calculator using c=3,4, and 5.
</span>
Answer:
180 cars
Step-by-step explanation:
Like you can see in the picture, I like to set up a proportion, so 81 over X and 45 over 100. Then, you can cross multiply, so 81 x 100 = 8100 and then divide, 8100 ÷ 45 = 180, your answer!
Answer:
see explanation
Step-by-step explanation:
The circumference (C) is calculated as
C = πd ← d is the diameter
diameter = 2 × 9 = 18 in ( twice the top diameter ), thus
C = 18π in ← exact value ≈ 56.55 in ( to 2 dec. places )
Answer:
he is an ordinary man because that is what the speaker is talking about
C
Y=X+9
9 is called y intercept that's where pt starts
The number is front of X is called slope if no number it's 1 so it's 1/1 one up and one right up positive right positive start from 9