1/18 can't be simplified because 1 cant be simplified. What ever happens to one side of the equation happens to the other, so nothing can happen to the 1 so nothing can happen to the 18
It cant be simplified
Step-by-step explanation:
<em>8</em><em>x</em><em>²</em><em> </em><em>-</em><em> </em><em>1</em><em>0</em><em>x</em><em> </em><em>-</em><em> </em><em>3</em><em> </em><em>=</em><em> </em><em>(</em><em>2</em><em>x</em><em> </em><em>-</em><em> </em><em>3</em><em>)</em><em>(</em><em>4</em><em>x</em><em> </em><em>+</em><em> </em><em>1</em><em>)</em>
<em>(</em><em>2</em><em>x</em><em> </em><em>-</em><em> </em><em>3</em><em>)</em><em>(</em><em>4</em><em>x</em><em> </em><em>+</em><em> </em><em>1</em><em>)</em><em> </em><em>=</em><em> </em><em>0</em>
<em>2</em><em>x</em><em> </em><em>=</em><em> </em><em>3</em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>O</em><em>r</em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>4</em><em>x</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em>
<em>x</em><em> </em><em>=</em><em> </em><em>3</em><em>/</em><em>2</em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>/</em><em>4</em>
- <em>L</em><em>e</em><em>n</em><em>g</em><em>t</em><em>h</em><em> </em><em>n</em><em>e</em><em>v</em><em>e</em><em>r</em><em> </em><em>g</em><em>e</em><em>t</em><em> </em><em>(</em><em> </em><em>-</em><em> </em><em>)</em><em> </em><em>v</em><em>a</em><em>l</em><em>u</em><em>e</em><em> </em><em>s</em><em>o</em><em>,</em><em> </em><em>Answer</em><em> </em><em>i</em><em>s</em><em> </em><em>3</em><em>/</em><em>2</em>
Answer $220 dollars
Margo spent 220 dollars at the concert.
Answer:
150 units;
Maximum revenue: $62,500.
Step-by-step explanation:
We have been given that a company’s total revenue from manufacturing and selling x units of their product is given by . We are asked to find the number of units sold that will maximize the revenue.
We can see that our given equation in a downward opening parabola as leading coefficient is negative.
We also know that maximum point of a downward opening parabola is ts vertex.
To find the number of units sold to maximize the revenue, we need to figure our x-coordinate of vertex.
We will use formula to find x-coordinate of vertex.
Therefore, 150 units should be sold in order to maximize revenue.
To find the maximum revenue, we will substitute in our given formula.
Therefore, the maximum revenue would be $62,500.
The object compresses the spring up to 0.8577m.
<h3>What is Potential Energy?</h3>
Potential Energy is the energy possessed by an object at rest.
The object is falling from the rest and it is assumed that the friction on the ramp is zero and the air resistance is also considered to be zero so only the gravitational force acts and the total potential energy gets converted to Kinetic Energy.
The total amount of potential energy at the top of the ramp is given by
Ep=mgh
Ep=3 * 9.81 *5
Ep=147.15 Joules
This is equal to kinetic energy.
From the formula for elastic potential energy
The distance up to which the spring is compressed is determined
The force constant = 400N/m
147.15 =(1/2)k(x²)
294.3=(400)(x²)
0.73575=x²
x=0.8577 m
So, the object compresses the spring up to 0.8577m.
- When the object compresses the spring, the potential energy of the spring is converted into Kinetic Energy so it will push the object back again.
To know more about Potential Energy
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