Identify the quadratic term in the function, f(x)=2x^2-3x+5
1 answer:
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Answer: 12
Step-by-step explanation:
If you look at the image below, you will see a picture of a dodecahedron. We can see 6 sides, and there are 6 sides invisible to our view. 6+6=12
The answer is 12.
a.) A flat pattern that could be folded to make a 3-dimensional figure is called a "net." You can draw one for Tyler's bench by picking any surface of that rectangular prism and making a drawing of it. At any edge you choose, you can add the adjacent surface to your drawing. Keep doing this until all 6 surfaces are shown in their correct relationship to adjacent surfaces. An example is attached. (This is not the only way the net can be drawn.)
Interior lines of the net can be solid or dashed as you wish. I have shown some of them dashed so as to better illustrate how the area can be computed.
b.) The area of this figure represents the surface area of the rectangular prism. The dimensions of each surface will be 1×1.5, 1×5, or 1.5×5. There are two surfaces with each pair of dimensions. (Perhaps you can find each of these rectangles on the net diagram. Ones with the same dimensions are opposite faces of the rectangular prism.) We can add up the areas of the smaller rectangles to find the total, or we can take advantage of the drawing and divide the area into a smaller number of larger chunks that may make the computation easier.
For example, the rectangle AI that is shaded red is 5×4 in size, for a total of 20 ft². The rectangle KN that is shaded green is 8×1 in size, for a total of 8 ft². Then the total amount of cloth Tyler needs to reupholster his bench is
... 20 ft² + 8 ft² = 28 ft²
Answer:
When the number of sessions is equal to 10, the total cost is the same in the two plans
Step-by-step explanation:
Let
y ---> the total cost
x ---> the number of sessions
we know that
The linear equation in slope intercept form is equal to
where
m is the slope
b is the y-intercept
Planet Fitness
we have
The slope is equal to
The y-intercept or initial value is equal to
substitute
----> equation A
Gold's Gym
we have
The slope is equal to
The y-intercept or initial value is equal to
substitute
----> equation B
Equate equation A and equation B
solve for x
therefore
When the number of sessions is equal to 10, the total cost is the same in the two plans