Answer:
Step-by-step explanation:
Infinitely many solutions means that one side of the equals sign is exactly the same as the other side. We can achieve that easily by multiplying through the parenthesis and then combining like terms.
2(6x + 4) - 5x is 12x + 8 - 5x which simplifies down to 7x + 8. That is what goes on the right side of your equation.
One kilometer is equal to 1,000 meters, so to find 12 kilometers, you would do 12x1,000. 12x1,000=12,000
12 kilometers is equal to 12,000 meters.
Answer:
(5x-7)-(2x+3)/6x+11 = 8/3
cross multiplying...
3( 5x - 7 -2x - 3) = 8 ( 6x + 11)
3( 3x - 10 ) = 48x + 88
9x - 30 = 48x +88
9x - 48x = 88 + 30
- 39x = 118
x = - 118 / 39
x = - 3.026 (approx.)
Answer:
The break-even points are: x = 500, and x = 70
Step-by-step explanation:
The break even points are those x-values for which the Revenue equals the Cost, so there is no money lost.
Since the formulas for both Revenue and Cost are given, we find the breaking points by setting the functions equal to each other:
where we have gathered all terms on one side of the equation and written the equation in standard form.
We can use the quadratic formula to solve for "x":
has solutions given by:
In our case,
So the solutions are:
This leads to two solutions:
These are the break-even points.
Answer:
Domain: (-∞, ∞)
Range: (-∞, ∞)
General Formulas and Concepts:
<u>Algebra I</u>
- Reading a Cartesian plane
- Domain is the set of x-values that can be inputted into function f(x)
- Range is the set of y-values that are outputted by function f(x)
- Interval Notation - [Brackets] denote inclusion, (parenthesis) denote exclusion
Step-by-step explanation:
According to the graph, we see our x-values span from negative infinity to positive infinity:
Interval Notation - (-∞, ∞)
Inequality Notation - ∞ < x < ∞
According to the graph, we see our x-values span from negative infinity to positive infinity:
Interval Notation - (-∞, ∞) or all real numbers
Inequality Notation - -∞ < y < ∞