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.
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Answer:
??? what are you asking to fill in
Step-by-step explanation:
Answer:
Answer below
Step-by-step explanation:
Expanded form : 20 + 8 + 0.6 + 0.03
Expanded form is a way of writing numbers to see the individual math value of digits.
Word form: twenty eight point six three.
HOPE THIS HELPED
Answer:
hello the figure related to your question is missing attached below is the missing figure
answer : 157.08 m^2
Step-by-step explanation:
Calculate the area of the shaded area
= Area of the large circle - Areas of the small circles
= ((
) * D^2) - 2( (
) * d^2 ) given that the small circles are congruent
= ((
) * 20^2 ) - 2 ( (
) * 10^2 )
= 314.16 - 157.08
= 157.08 m^2