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: 1.48
Step-by-step explanation:
Answer:
The answer for the first problem is B. The answer to the second problem is A.
Step-by-step explanation:
Explanation for first problem: Factor the equation and get (w+5)(w-4). Then multiply the numerator of the equation (w-3) by (w-4) and get w²-7w+12.
Explanation for second problem: Plug in the values of choice A., -2 and 4, and they cause the denominators to equal 0 which is against the rules or considered illegal.
Answer:
A. -½
Step-by-step explanation:
In the Slope-Intercept Formula, <em>y = mx + b</em><em>,</em><em> </em><em>m</em><em> </em>represents the <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>], so in this case, the slope is -½.
I am joyous to assist you anytime.
Answer:
2 dogs
Step-by-step explanation:
2 dogs at 1st plus 7 dogs added equals 9
