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KonstantinChe [14]
3 years ago
12

Consider the quadratic equations

Mathematics
2 answers:
Debora [2.8K]3 years ago
6 0
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>
laila [671]3 years ago
3 0
Can you please make this more clear
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Answer:

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The sum of two numbers is 41. The larger number is one less than twice the smaller number. Find the numbers.
Arte-miy333 [17]
I hope this helps you



small a

larger 2a-1


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6 0
3 years ago
When given a graph, the vertical line test can be used to determine functionality. Describe the vertical line test and explain t
diamong [38]

Answer:

The vertical line test is a way for you to see if a graph represents a function. It allows you to identify if any x values have more than one y value.

A graph would be a function if every input (x) has exactly one output (y). A graph would not be a function if an input (x) has more than one output (y).

Step-by-step explanation:

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