Answer:
The graph will open to the right and will be mostly in quadrant 1
Step-by-step explanation:
Answer: 7 and 8
<u>Step-by-step explanation:</u>
Let x represent the first number, then x + 1 is the other number.
(x)² + (x + 1)² = 113
x² + x² + 2x + 1 = 113 <em>expanded (x + 1)²</em>
2x² + 2x + 1 = 113 <em>added like terms</em>
2x² + 2x - 112 = 0 <em>subtracted 113 from both sides</em>
x² + x - 56 = 0 <em> divided both sides by 2</em>
(x + 8) (x - 7) = 0 <em>factored polynomial</em>
x + 8 = 0 x - 7 = 0 <em>applied zero product property</em>
x = -8 x = 7 <em> solved for x</em>
↓
not valid since the restriction is that x > 0 <em>(a positive number)</em>
So, x = 7 and x + 1 = (7) + 1 = 8
Answer: y=-x+8
Step-by-step explanation:
Answer:
So there are alot of various properties that could be used to solve different kinds of algebraic expressions. To solve a simple algebraic equation, most of the times u need to know the, addition, subtractions properties as well as division and multiplication division property.
Hope this helps!
Answer:
The intersection point of the two curves is 
.
Step-by-step explanation:
From statement we get the following equations:
Supply curve
(1)
Demand curve
(2)
Where:
- Quantity, measured in thousands of metric tons.
- Price, measured in US dollars per metric tons.
If we add both equations, then we find that quantity is:
Then, we finally find the price by substituting on (2):
The intersection point of the two curves is .
