Answer:
k can either be
12
or
−
12
.
Step-by-step explanation:
Consider the equation
0=x2+4x+4
. We can solve this by factoring as a perfect square trinomial, so
0=(x+2)2→x=−2 and−2
. Hence, there will be two identical solutions.
The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have
2 equal, or 1
distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:
k2−(4×1×36)=0
k2−144=0
(k+12)(k−12)=0
k=±12
Answer:
y = (2 x)/3 + 1/4
Step-by-step explanation:
Solve for y:
8 x - 12 y = -3
Subtract 8 x from both sides:
-12 y = -8 x - 3
Divide both sides by -12:
Answer: y = (2 x)/3 + 1/4
Answer:
Step-by-step explanation:
Total students = 90
<u>Students who like at least one of the fruit:</u>
- 20 + 16 + 8 + 4 + 5 + 10 + 2 = 66
<u>Number of students do not like any of the fruits:</u>
