<span>the numbers of first 8 beads which are white are
1,5,9,13,17,21,25,29
think of it as an arithmetic progression here the first term will be 1 cause white was first bead then after 3 blue beads another white added soits position is fifth now the difference would come out as 5-1=4 so now position of next white bead could be predicted by nth term formula of an AP which a+(n-1)d here a is first term which in this case is one and d is difference which here is 4
So nth bead position is 1+(n-1)4</span>
Part A:
Electricity Company | Rate Charged | Rate Rounded |
Atlas Energy 12.065 12.070
Big City Light 9.138 9.140
Connex 9.143 9.140
Dynamon Power 9.707 9.710
ElectriCo 9.503 9.500
Part B:
Big City Light and Connex.
Part C:
Two companies can have the same rate when they are rounded because two numbers can be rounded to the same number although they are different numbers. For example; 9.138 and 9.143 can both be rounded to 9.140.
Answer:
x=-3
Step-by-step explanation:
If a parabola has a vertex at (h,k), the axis of symmetry is at the point, x=h.
That is, <u>the x-coordinate of the vertex of the given parabola is the axis of symmetry.</u>
Therefore, for a parabola with vertex (-3,2), the axis of symmetry is at x=-3
Answer:
3x²-x+3
Step-by-step explanation:
Given
Height of the building = 3x^2 + x +1
distance from the floor of the cafeteria to the top of the building = 2x -2
To get the expression for the height from the ground to the floor of the cafeteria, we will use the formula:
Height of the building = (distance from the floor of the cafeteria to the top of the building ) + (he height from the ground to the floor of the cafeteria)
substitute the given parameter into the formula:
3x^2 + x +1 = 2x -2 + P
P = 3x^2 + x +1 - (2X-2)
P = 3x^2 + x +1 - 2x+2
collect like terms:
P = 3x^2 + x-2x+2+1
P = 3x²-x+3
Hence the expression for the height from the ground to the floor of the cafeteria is 3x²-x+3
