Answer:
-19
Step-by-step explanation:
The missing table is shown in the attachment.
Since the quadratic function has vertex at (0,3), its equation is of the form;
To find the value of 'a' we substitute any other point from the table say (1,2) to get:
Hence the function is
Now
The average rate of change from x=9 to x=10 is
Step-by-step explanation:
(-1,-1) (0,3)
3- -1 / 0 - -1 = 4/1 = 4
slope is 4
Answer: 1.25 or 1 ¼
Step-by-step explanation:
This is because volume is (length x width x height).
So you would take (5 ½ times 2 ½ time 9).
This would give you 123.75 or 123 ¾.
Then you would take (125 - 123.75).
x = the number of miles
y = the total cost
Company A:
0.60x + 60 = y [Company A charges $60 plus $0.60 per mile(x)]
Company B:
0.90x + 30 = y [Company B charges $30 plus $0.90 per mile(x)]
To find the number of miles where the costs for both companies are the same, you can set the equations equal to each other as the costs(y) are the same:
y = y Substitute the equations into "y" (substitute (0.60x + 60) and (0.90x + 30) into "y" since y = 0.60x + 60 and y = 0.90x + 30)
0.60x + 60 = 0.90x + 30 To find x, isolate/get the variable "x" by itself. Subtract 30 on both sides
0.60x + 60 - 30 = 0.90x + 30 - 30
0.60x + 30 = 0.90x Subtract 0.60x on both sides to get "x" on one side of the equation
0.60x - 0.60x + 30 = 0.90x - 0.60x
30 = 0.30x Divide 0.30 on both sides to get "x" by itself
100 = x 100 miles
(if you need to find out the cost where both companies cost the same, you can substitute/plug in the value of x into one of the equations.)
0.60x + 60 = y Plug in 100 into "x" since x = 100
0.60(100) + 60 = y
120 = y At 100 miles, both companies cost $120
12.4 x 0.632
answer=7.8368
