Answer:
k = - 1
Step-by-step explanation:
If (x - 5) is a factor of p(x) then p(5) = 0
p(5) = 5³ - 6(5)² + 5k + 30 = 0 , that is
125 - 150 + 5k + 30 = 0
5 + 5k = 0 ( subtract 5 from both sides )
5k = - 5 ( divide both sides by 5 )
k = - 1
You can use this formula: (y1 - y2) / (x1-x2)
For example, using question 5,
(-11-16)/ [-6-(-20)]
= -17/14
Given that it is a negative number, it would mean that the line is downward-sloping.
All the best!
I suppose we are to determine the proportionality constant of the variation. The equation for this proportionality is,
y = kwx / z
Substituting the known values,
320 = k(6)(20)/3
The value of k from the equation is 8.
Answer:
hope it helps.
<h3>stay safe healthy and happy.</h3>
