Answer:
as x→∞, y→∞
as x→-∞, y→∞
Step-by-step explanation:
To tell what the end-behavior is, look at the x with highest exponent value in the function.
f(x) = 4x⁴ - 3x²
The highest power is x⁴.
Our highest exponent value is 4.
If the highest power is an even number, the end behavior is:
as x→∞, y→∞
as x→-∞, y→∞
this is always true. It's part of the rule for end-behavior.
The end behavior graph for an even power will look like the graph for x².
This is also always true. It will always look like this if the highest power is an even number.
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the value of x
we know that
In the right triangle of the figure
The tangent of angle of 52 degrees is equal to divide the opposite side to the angle of 52 degrees (x units) by the adjacent side to the angle of 52 degrees (35 units)
Solve for x
Part 2) Find the value of y
we know that
In the right triangle of the figure
The cosine of angle of 52 degrees is equal to divide the adjacent side to the angle of 52 degrees (35 units) by the hypotenuse (y units)
Solve for y
Answer:
C.
Step-by-step explanation:
Can't be a or b slope is too small so its between c and d C. has the more accurate slope
The vertices are the intersections between the lines.
1) line x + y = 5 and y = 3:
y = 3 => x + 3 = 5 => x = 5 - 3 => x = 2
=> vertix = (2,3)
2) line x + y = 5 and y = 0
=> y = 0 => x + 0 = 5 => x = 5
=> vertix = (5,0)
3) line x + y = 5 and x = 0
=> 0 + y = 5 => y = 5
=> (0,5) ------> this is not a vertix because it is above the line y = 3
4) line y = 3 and x-axis
=> vertix = (0,3)
5) x-axis and y-axis => origin => vertix = (0,0)
So, there are four vertices: (0,0), (5,0), (2,3) and (0,3)
Answer: That is the first option:(<span>0, 0), (0, 3), (2, 3), (5, 0)</span>
Answer: You receive 14x+45 dollars for each gallon of cider that you sell.
Step-by-step explanation:
Given: For selling each gallon of cider, the company receives x dollars.
You receive = Remaining amount
i.e. You receive $(Selling price - x)
By selling 15 gallons in 15x+45 dollars, you have received (15x+45)-x dollars
i.e. You received 15x+45-x dollars
i.e. You received 14x+45 dollars.
Hence, you receive 14x+45 dollars for each gallon of cider that you sell.
