Answer:
see explanation
Step-by-step explanation:
To find the y-intercept let x = 0, in the equation
6x - 3y = 15 → (1)
x = 0 : - 3y = 15 ⇒ y = - 5 ⇒ (0, - 5) ← y- intercept
x + 3y = - 8 → (2)
x = 0 : 3y = - 8 ⇒ y = -
⇒ (0, -
) ← y- intercept
Answer:
The maximum amount of profit the company can make is $854.08
Step-by-step explanation:
Let
x ----> the selling price of each widget
y ---> the amount of profit
we have

This is the equation of a vertical parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
so
The y-coordinate of the vertex represent the maximum amount of profit the company can make
using a graphing tool
Find out the vertex of the quadratic equation
The vertex is the point (25.83,854.08)
see the attached figure
The y-coordinate of the vertex is 854.08
therefore
The maximum amount of profit the company can make is $854.08
Answer:
The area of the shaded figure is:
Step-by-step explanation:
To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):
- Area of a rectangle = long * wide
- Area of a rectangle = 6 * 4
- Area of a rectangle = 24 units^2
How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):
- Area of a triangle =

- Area of a triangle =

- Area of a triangle =

- Area of a triangle = 4 units^2
In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:
- Area of the shaded figure = Area of the rectangle - Area of the triangle
- Area of the shaded figure = 24 units^2 - 4 units^2
- <u>Area of the shaded figure = 20 units^2</u>
I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.
Answer: 30 degrees
Step-by-step explanation:
Answer: 68
Step-by-step explanation: Because I am smart