Given:
A train is traveling at a constant speed in miles per hour.
The table of value is:
Hours (x) Miles (y)
1 20
2 100
3 180
4 260
5 340
To find:
The equation for the given data table.
Solution:
It is given that the train is traveling at a constant speed in miles per hour. So, it is a linear relationship.
Choose any two point from the given table of value. Let the two points are (1,20) and (2,100). So, the equation of the line is:




Add 20 on both sides.



Therefore, the correct option is D.
The formula in order to obtain the vertex form of a
quadratic equation is given as
y=a(x-h)^2+k where (h,k) is the vertex of the quadratic
equation which is parabolic in shape and it is opening upward.
As given in the problem, y=6x^2+12x-10
Using the formula, we can transformed the quadratic equation
y=6x^2+12x-10 into its vertex form:
y=6x^2+12x-10
<span>y= (6x^2+12x)-10 (grouping)</span>
y=6(x^2+2x)-10 (factoring Common terms per
group)
y=6(x^2+2x+1)-10-6 (Completing the squares)
<span>y=6(x+1)^2-16
(Factor and Simplify) </span>
Hence, the vertex form of y=<span>6x^2+12x-10 is y=6(x+1)^2-16</span>
Answer:
3. Hardness
4. Streak
5. Density
6. Crystal
Step-by-step explanation:
big brain
a1 = 54
a2 = (1/3)a1 = (1/3) * 54 = 18
a3 = (1/3)a2 = (1/3) * (1/3)a1 = 18/3 = 6
etc.
