FIRST FIND THE THE FIRST AND SECOND DIFFERENCES ON THE GIVEN SEQUENCE OF NUMBERS. FOR EXAMPLE IF YOU ARE GIVEN THIS SEQUENCE 2,4,6,8............AND YOU ARE ASKED TO FIND THE GENERAL FORMULA.... STEP 1:FIND THE FIRST DIFFERENCE BY SUBTRACTING THE FIRST TERM FROM THE SECOND TERM,AND THE SECOND FROM THE THIRD AND SO ON. STEP 2:FIND THE SECOND DIFFERENCE BY APPLYING STEP 1 TO THE ANSWERS OBTAINED.EG 4-2=2,6-4=2,8-6=2 THEREFORE THE SECOND DIFFERENCE WILL BE 2-2=0,2-2=0 STEP 3:DIVIDE THE SECOND DIFFERENCE BY 2 TO GET THE VALUE OF (A). STEP 4:WRITE 3a-b=the first term of the first term of the first difference which is the difference between 4 and 2.and solve for the value of b.3(0)-b=2 therefore b=-2 STEP 5:FIND THE VALUE OF c BY term 1=a=b=c
Answer:
13x-5y-10
Step-by-step explanation:
Answer:

Step-by-step explanation:
As you can observe in the image attached, the line that best fits passes through point B and C. That means we can use those point to find the slope of such line.

Where
and 

So, the slope of the line that best fits is -11, approximately.
Now, we use the point-slope formula to find the equation.

Therefore, the line that best fits is
approximately.
Remember, when we estimate a line for some data on a scatterplot, we are calculating an approximation, that's why we also said "approximately", because the line is an approximation where the majority of point meet.
Answer: 0.01
Step-by-step explanation:
Let the events are :
C = paving stones found to be cracked.
D = paving stones found to be discolored.
Given : Total stones : T = 600 (i)
C = 15
D= 27
C'∩D'= 564 (ii)
Since C'∩D' = (C∪D)' = T- C∪D (iii)
From (i) , (ii)and (ii) , we have
564 = 600- C∪D
⇒ C∪D=600- 564= 36
Formula : C∩D= C+D- C∪D
Put values , we get
C∩D= 15+27-36=6
Now ,

The probability that it is both cracked and distorted is 0.01.
Answer:
61.2 mph
Step-by-step explanation:
Let's first calculate the individual legs of Adara's trip in terms of both time and distance:
<u>Ashdown to Bridgeton</u>
3 hr at 60 mph = 180 miles in 3 hours
<u>Bridgeton to Carton</u>
30 miles at 70 mph: 30 miles/(70 miles/hour) = 0.429 hours
<u>Total Trip</u>
Miles = 180 + 30 = 210 miles
Time = 3 + 0.429 = 3.429 hours
Average speed is (210 miles)/(3.429 hours) = 61.25 or 61.2 miles/hour to 1 decimal point.