Answer:
3 x^2 - x + -1
Step-by-step explanation:
Simplify the following:
-(4 x - 2 x^2 - 3) + x^2 + 3 x - 4
Factor -1 out of -2 x^2 + 4 x - 3:
--(2 x^2 - 4 x + 3) + x^2 + 3 x - 4
(-1)^2 = 1:
2 x^2 - 4 x + 3 + x^2 + 3 x - 4
Grouping like terms, 2 x^2 + x^2 + 3 x - 4 x - 4 + 3 = (x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3):
(x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3)
x^2 + 2 x^2 = 3 x^2:
3 x^2 + (3 x - 4 x) + (-4 + 3)
3 x - 4 x = -x:
3 x^2 + -x + (-4 + 3)
3 - 4 = -1:
Answer: 3 x^2 - x + -1
Store should sell about 31 bicycle for average price of $135 each bicycle.
Step-by-step explanation:
- To find bike we need Algebra to solve the equation.
- when x = 1 , Y = 135 *x
- When x 2 , Y = 135 *2
- Formula you could apply to go for break even y = 135*x
- Bicycle store pays about $4200
- Algebra used for every business and working to make easy task.
- It takes about 31 bicycle a month to get into break even.
- Every store needs break even to not incur lost.
- Break even point is equilibrium between income and expenses.
Consider the attached ellipse. Let the sun be at the right focus. Then perihelion is at right vertex on the x-axis and aphelion is at the left vertex on the x-axis.
The distances:
- from perihelion to the sun in terms of ellipse is a-c;
- from aphelion to the sun in terms of ellipse is a+c.
Then
Add these two equations:
and subtract first equation from the second:
Note that 
thus
The equation for the planet's orbit is
Answer:
Option A) 4, 2
Step-by-step explanation:
We are given that quadrilateral ABCD is a parallelogram with sides:
Since the opposite sides of a parallelogram are equal, we can write:
Equating the sides we get,
Putting the values of x and y, we get:
Thus, the lengths of the opposite side pairs is 4,2.
Answer:
144
Step-by-step explanation:
x = ((n-2)π / n) radians = (((n-2)/n) x 180° ) degrees
