The sum of two consecutive odd integers is at most 123. find the pair with the greatest sum
two consecutive odd integers
2x+1,2x+3
The sum of two consecutive odd integers is at most 123
2x+1+2x+3≤123
Solve for x
2x+1+2x+3≤123
4x+4≤123
4x+4-4≤123-4
4x≤119
4/4x≤119/4
x≤119/4
x≤29.25
Substitute any numbers into x that are equal to 29 or less that are consecutive odd integers.
2x+1,2x+3
2 (29)+1,2 (29)+3
58+1,58+3
59,61
Check: 59+61=120
The pair of consecutive odd integers that have a sum of at most 123 are 59 and 61.
If f(x) = 5x - 16, then value of f(9) is 29
<em><u>Solution:</u></em>
Given function is f(x) = 5x - 16
We are asked to find the value of f(9)
To find the value of f(9), we have to substitute x = 9 in given function and solve the function
Therefore, substitute x = 9
f(x) = 5x - 16
f(9) = 5(9) - 16
Multiply 5 with 9 which gives 45
f(9) = 45 - 16
Subtract 16 from 45
f(9) = 29
Thus value of f(9) is 29
Answer:
7
Step-by-step explanation:
Answer:
1176
Step-by-step explanation:
used calculator
U.S. Manufactured General Aviation Shipments, 2009–2015
Year Qtr 1 Qtr 2 Qtr 3 Qtr 4 Total
2009 310 408 390 477 1,585
2010 243 377 281 433 1,334
2011 268 289 286 480 1,323
2012 305 358 339 514 1,516
2013 329 413 353 520 1,615
2014 345 380 379 527 1,631
2015 296 374 378 544 1,592
Click here for the Excel Data File
(a) Plot the data on airplane shipments.
Plot A Plot B Plot C Plot D
multiple choice 1
Plot A
Plot B
Plot C
Plot D
(b) Can you see seasonal patterns?
multiple choice 2
Yes
No
(c) Use MegaStat or Minitab to calculate estimated seasonal indexes and trend. (Round your answers to 3 decimal places.)
Qtr1
Index Qtr2
Index Qtr3
Index Qtr4
Index
(d) In which quarters are shipments highest? Lowest? (You may select more than one answer. Click the box with a check mark for the correct answer and double click to empty the box for the wrong answer.)
Highest
check all that apply 1
Q1
Q2
Q3
Q4
Lowest
check all that apply 2
Q1
Q2
Q3
Q4
(e) Is there a trend in the deseasonalized data?
There is a slight
(Click to select)
trend in the deseasonalized data.
