Answer:
-11, -10, -9
Step-by-step explanation:
The middle one is their average, -30/3 = -10. The three integers are -11, -10, -9.
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I like to work "consecutive integer" problems using the average value of the integers involved. The average of <u>two</u> consecutive integers is 1/2 more than the small one, and 1/2 less than the large one, for example. Here, there are <u>three</u> consecutive integers, so their average is the middle one.
If you want to write that using an equation, you can let x represent the middle integer. Then the sum is ...
(x -1) +(x) + (x+1) = 3x = -30
x = -30/3 = -10 . . . . . the same average we computed above.
x -1 = -11 . . . . . the smaller of the other two integers
x +1 = -9 . . . . . the larger of the other two integers
Equation of the given line is:
y = 3x + 2
Slope of the line = m = 3
Since we are to find equation of line parallel to this line, the slope of new line will be the same as slope of parallel lines is the same.
So we are to find a line with slope 3 and passing through the point (10,1). Using the point-slope form of equation we can write:
y - 1 = 3(x - 10)
y = 3x - 30 + 1
y = 3x - 29
⇒
- 3x + y = 29
So option C gives the correct equation of the line.
Answer:
d x / d y = -x2 - 2 y + 8 / 2 x y + 6
Step-by-step explanation:
Answer:
Yes (6,1) is a solution to the inequality
Step-by-step explanation:
Plug in the coordinate point and check:
11(6)+3(1)>4?
66+3>4?
69>4
Since 69 is indeed greater than 4, then (6,1) is a solution to the inequality.
The tip is $15.73. I get that by multiplying 78.63 and .20. then you add the tip to the bill and get $94.36. you then find the discount by multiplying 94.36 and .15. the discount is 14.15. then subtract 14.15 from 94.36 to get your total.
the answer is $80.21
