Answer:
John = 41 years
Sam = 32 years
Step-by-step explanation:
Answer:
P(x) = 3.88x -1750
Step-by-step explanation:
Profit is the difference between revenue and cost.
P(x) = R(x) - C(x)
P(x) = 4.1x -(0.22x +1750) . . . . . substitute the given expressions
P(x) = 3.88x -1750 . . . . . . . . . . simplify
Let's say side length is s.
s*s = 500, so s = √500.
4 sides needed, total length thus 4*s.
4√500 ≈ 89.4
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
1.2 is it as a decimal or 0.5
