xy = -1
x + y = 2
x + y = -2
- x - x
y = -x - 2
xy = -1
x(-x + 2) = -1
x(-x) + x(2) = -1
-x² + 2x = -1
+ 1 + 1
-x² + 2x + 1 = 0
-1(x²) - 1(-2x) - 1(-1) = 0
-1(x² - 2x - 1) = 0
-1 -1
x² - 2x - 1 = 0
x = -(-2) ± √((-2)² - 4(1)(-1))
2(1)
x = 2 ± √(4 - 4(-1))
2
x = 2 ± √(4 + 4)
2
x = 2 ± √(8)
2
x = 2 ± 2√(2)
2
x = 1 ± √(2)
x + y = 2
(1 ± √(2)) + y = 2
- (1 ± √(2)) - (1 ± √(2))
y = 1 ± √(2)
(x, y) = (1 ± √(2), 1 ± √(2))
The numbers that multiply to -1 and add to 2 are 1 ± √(2).
Answer:
<h2>8.50h + 80 ≥131</h2>
Step-by-step explanation:
The answer is not in the option
Step one:
given data:
we are told that the hourly earning= $8.50
then additional tip=$80
total earnings=$131.
Step two:
the linear function for the total earning is the same as the equation of a line
y=mx+c
where
y represents the total earning of $131
m represents the hourly earning= $8.50
x represents the number of hours h
c represents the tip of $80
The expression for the situation is modeled as
<h2>8.50h + 80 ≥131</h2>
There are 36 different possibilities for his lunch.
We can use the fundamental counting principal to solve this problem. We simply need to find the number of options for each part of the meal and multiply them.
Sandwich = 3
Snack = 3
Dessert = 2
Drink = 2
3 x 3 x 2 x 2 = 36
Answer:
3 and 8 are the extremes of the given proportion (first listed answer option)
Step-by-step explanation:
In a proportion of the type:
the values "A" and "D" are called "extremes of the proportion, while "B" and "C" are called the "means" of the proportion.
This comes from writing it as: A : B = C : D
where we observe that A and D are the more "extreme" values being further away from the equal sign than the quantities B and C which are more towards the middle (center of the proportion).
So in your case, the numbers 3 and 8 are the extremes
That is true because Dallas, Texas in IN the U.S.
So, it is snowing in the United States if it is snowing in Dallas Texas
