.9 is = to 9/10 because when you pronounce .9 you say nine-tenths, so 9/10
Let's put this in terms of a system of equations. Let's call the numbers x and y, with x being the larger integer and y the smaller one. Since they are consecutive odd integers, we know that:
x = y + 2
The constraint is:
xy= 3(x+y) + 71 Simplify
xy = 3x + 3y + 71 Plug in (y+2) for x:
(y + 2) y = 3(y + 2) + 3y + 71 Simplify
y² + 2y = 3y + 6 + 3y + 71 Subtract 6y from both sides, add 71+6
y² -4y = 77
y² - 4y - 77 = 0
Factor:
(y - 11) (y+7) = 0
y = 11 or y=-7
When y = 11, x = 13, since x = y+2
Plug in to make sure:
xy = 3(x+y) + 71
11*13 = 3 (11 + 13) + 71
143 = 3 (24) + 71
143 = 72 + 71
143 = 143
Our values work!
Answer: 11, 13
Answer:
Step-by-step explanation:
3x-7 ≤ 14
3x≤ 14+7
3x≤ 21
x≤ 21/3 = 7
=> x = (-∞;7]
That means that x can be any negative number and any positivi number (1,2,3...7)
Answer:
19.7%
Step-by-step explanation:
Answer:
-9/8
Step-by-step explanation:
The two points given are
(1,6) and (9,-3)
The slope is given by
m = (y2-y1)/(x2-x1)
= (-3-6)/(9-1)
= -9/8
