B.) y=0, because here, the slope is zero but it rests on the x-axis thus yielding an infinite amount of touching
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:
240,000
Step-by-step explanation:
The population is going to get quadrupled. (56 + 56 = 112)
60,000 x 4 = 240,000
Hope this helped! Please mark as brainliest! Thanks!
Answer:
x=6
Step-by-step explanation:
Combine like terms, 5x and 7x
12x=72
Isolate the variable by dividing by 12
x=6
Answer:
Step-by-step explanation:
This problem tests your understanding of order of operations rules.
Here you must do any work inside parentheses first, followed by multiplication, followed by subtraction:
5(13) - 3(2 -1) would be 65 -3(1), or 62.
If you actually meant 5(1 - 3) - 3(2 - 1), then you'd have
5(-2) - 3(1) = -10 - 3 = -13
Please compare the problem you've shared with the original problem, to ensure that these match.