Answer:
The solution for k is the interval (-3.5,1.5)
Step-by-step explanation:
we have



![}[1-k]x^{2}+3x-(3+k)=0](https://tex.z-dn.net/?f=%7D%5B1-k%5Dx%5E%7B2%7D%2B3x-%283%2Bk%29%3D0)
we know that
If the discriminant is greater than zero . then the quadratic equation has two real and distinct solutions
The discriminant is equal to

In this problem we have
a=(1-k)
b=3
c=-(3+k)
substitute

so

solve the quadratic equation by graphing
The solution for k is the interval (-3.5,1.5)
see the attached figure
Answer:
Lindsey, who is delivering her speech in a large auditorium
Step-by-step explanation:
Jin, who is delivering her speech to a small group sitting around a table
Lindsey, who is delivering her speech in a large auditorium
Luke, who is delivering his speech in a typical classroom
Jordan, who is delivering his speech in a small meeting room
5.25 gallons is your answer
Y = kx
15 = -3k
k = -5
so if x = 4
y = kx
y = (-5) (4) = - 20
answer
<span>y = -20 when the x = 4.</span>