A) Teresa is correct; y=2ˣ grows at an increasingly increasing rate, while the other two grow at a constantly increasing rate. This means y=2ˣ will surpass the other two.
2x + -11 = k
Reorder the terms:
-11 + 2x = k
Solving
-11 + 2x = k
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 11 + 2x = 11 + k
Combine like terms: -11 + 11 = 0
0 + 2x = 11 + k
2x = 11 + k
Divide each side by '2'.
x = 5.5 + 0.5k
Simplifying
Answer:
5.29150262213
Step-by-step explanation:
I hope this answer has helped you
To solve for the solution of this system of linear equation, it is best to use substitution. From the first equation, x = 3y
Substituting the expression on the right for the value of x on the second equation,
-2(3y) + 3y = 16
Solving for the value of y gives y = -5 1/3
With this value of y, solving for x gives x = -16
Thus, the solution for this system of linear equation is (-16, -5 1/3)
Answer:
2) 12,000 ft²
3) 30 gallons.
Step-by-step explanation:
2) 1. You can calculate the lateral surface area of the exterior walls of the warehouse by applying the formula shown below:
Where <em>h</em> is the height, <em>l</em> is the lenght and <em>w</em> is the width.
2. Substitute values and you obtain that the lateral area is:
![LA=20ft[(2*200ft)+(2*100ft)]](https://tex.z-dn.net/?f=LA%3D20ft%5B%282%2A200ft%29%2B%282%2A100ft%29%5D)
3) You know that 1 gallon of paint covers 400 ft², therefore for 12,000 ft² are needed the following number of gallons (which is represented by <em>x</em>):
