Answer:
Step-by-step explanation:
Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
the parabola is open down with vertex at (0,2)
We can find that the rectangle also will be symmetrical about y axis.
Let the vertices on x axis by (p,0) and (-p,0)
Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation
Now width = 
Area = l*w = 
Use derivative test
I derivative = 
II derivative = 
Equate I derivative to 0 and consider positive value only since we want maximum
p = 
Thus width=
Length =
Width = 
5.242 to the nearest tenth is 5.2.
6.537 to the nearest tenth is 6.5.
11.382 to the nearest tenth is 11.4.
<h3>There are 25 servings</h3>
<em><u>Solution:</u></em>
Given that,
<em><u>The label on a 1-kilogram can of mixed nuts states that a serving size is 40 grams</u></em>
From given,
Total = 1 kg
We know that,
1 kg = 1000 grams
Serving size = 40 grams
<em><u>How many servings are there in the can?</u></em>
Thus there are 25 servings
Answer:
See below.
Step-by-step explanation:
So, Nikki earns $12 per hour.
And she also earns a 5% or 0.05 commission of her total sales each day.
On Saturday, she worked eight hours and she earned $139. In other words, she earned 8(12) or $96 from working her hours and another $43 (139-96) from her commission.
Thus:
Where x represents Nikki's total sales on Saturday.
Further notes:
To solve, subtract 96 from both sides and divide by 0.05:
Thus, her total sales that day were $860.
When you add the equations in (a) you get 7x+y=24.
When you subtract the equations in (b) you also get 7x+y=24.
That means to solve both systems you can work with the same equation. However that is not enough. We must have two equivalent equations. We found only one.
Notice however that in the (b) we can take the first equation and divide every term by 2. When we do this we get 4x-5y=13. That’s the first equation in (a).
So both systems can be solved by working with the same two equations. These are 5x-5y=13 and 7x+y=24. And since we have two equations and two unknowns (the number of equations matches the number of variables) there is only one solution — one x and y that would make both systems true — solve both systems.
Basically we showed the systems are equivalent!
