<span>The following choices may have a negative correlation: - speed of a car and minimum stopping distance - average running speed and total race time - outside temperature and amount of a heating bill
<span>Theses factors may yield negative results depending on the variables that will be present in a controlled experiment.</span></span>
Alrigty
in form
the vertex is (h,k)
the constant, a, deterimines the size and direction
if a>0, then the parabola opens up and the vertex is the minimum
if a<0 then the parabola opens down and the vertex is the maximum
so we are given
1>0 so it opens up
vertex is (-2,4)
the vertex is a minimum
the vertex is (-2,4) and the graph has a minimum
If you have a rectangle with an area of 32 square feet, it means that the sides are
A=L x W, 32= 8*4, where
L=8, W=4
other options are
L=16, W=2 and the last one is
L=32, W=1
You need to find the least perimeter , and you know that the perimeter is P= 2(L+W)
Perimeter (1)= 2(8+4)=2*12=24
Perimeter(2)= 2(16+2)=2*18=36
Perimeter (3)=2(32+1)=2*33=66
The least perimeter is 24, with the sides L=8 and W=4
Answer: x = ± i , x = ±√2i are solution .
Step-by-step explanation:
Given : , use u substitution to solve.
To find : what are the solutions of the equation .
Solution : We have given that .
Let consider = u .
Substitute u = in given equation .
.
On factoring
.
Taking common
u( u+2) +1 (u+2) = 0.
On grouping
(u+1) (u+2) =0
Now, u+1 = 0 ⇒ u = -1.
u+2 = 0 ⇒ u = -2.
In term of x, plugging = u.
= -1 ; = -2.
taking square root both side
x = ± i
x = ±√2i.
Therefore, x = ± i , x = ±√2i are solution .