Answer: 7.5 items
Step-by-step explanation:
Both Karen and James had 30 stocking items.
Karen bought 35% of her items;
= 35% * 30
= 10.5 items
James has bought 60%;
= 60% * 30
= 18 items
= 18 - 10.5
= 7.5 items
Answer:
y = 1/6 x^2 + 8/3 x + 49/6
Step-by-step explanation:
This is a parabola which opens upwards.
The distance of a point (x, y) from the focus is
√[(x - -8)^2 + (y - -1)^2] and
the distance of the point from the line y = -4
= y - -4
These distances are equal for a parabola so:
√[(x - -8)^2 + (y - -1)^2] = y + 4
Squaring both sides:
(x + 8)^2 + (y + 1)^2 = (y + 4)^2
x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16
x^2 + 16x + 64 + 1 - 16 = 8y - 2y
6y = x^2 + 16x + 49
y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.
Answer:
Step-by-step explanation:
Product of of 3 and b is 3b
At least means greater than or equal too.
First, recall that
So if 
, then 
.
Second,
We know that 
and 
, which means we should also have 
.
Third,
but as we've already shown, we need to have , so we pick the negative root.
Finally,
Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.
Answer:
z would be at (-6,6)
Step-by-step explanation:
hope that helps
