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strojnjashka [21]
3 years ago
7

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar.
y=-8x^2+242x-1056
Mathematics
1 answer:
Alex17521 [72]3 years ago
3 0

The equation is that of a parabola, meaning that the maximum (or sometimes minimum) is 1/2 the sum of the solutions found using the quadratic equation.

y = 0 for the 2 solutions to {-b +/- sqrt[b2 - 4ac]} / 2a, where a = -3, b = 152 and c = -1150 from the equation for y. Plug a, b and c into the quadratic formula to get x = 9.2571 and x = 41.4095 as the 2 solutions.

9.2571 + 41.4095 = 50.6666... and the midpoint is 25.3333...

When x = 25.3333..., y = 775.33333.....

To the nearest cent, x=25.33 results in a profit of 775.33.

When x=25.25, Y = 775.31

When x=25.4, Y = 775.32

These are both less than 775.33 when x = 25.33.

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Tom [10]

Answer:

wrong

Step-by-step explanation:

the student added 4x with 3 instead of multiplying

6 0
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What is the slope intercept form of the equation 4x-8y=72
Masteriza [31]

Answer:

y = 1/2x - 9

General Formulas and Concepts:

<u>Alg I</u>

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Standard Form: 4x - 8y = 72

<u>Step 2: Find slope-intercept form</u>

  1. Subtract 4x on both sides:          -8y = 72 - 4x
  2. Divide both sides by -8:               y = -9 + 1/2x
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2 years ago
100 is 1/10 of what?
lawyer [7]

\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }  

<h3>Further explanation  </h3>

The question can be rewritten to \boxed{ \ 100 \ is \ \frac{1}{10} \ of \ M \ }  

This case about equations with one variable. We have to solve this calculation to obtain the value of M. Our task is to isolate the variable M alone at the end of the process on one side of the equation until the variable will be equal to a value on the opposing side.  

Let's arrange it into an equation, i.e., \boxed{ \ 100 \ = \ \frac{1}{10} \times \ M \ }  

Turn this equation over so that the position of variable M is on the left side.  

\boxed{ \ M \times \frac{1}{10} = 100 \ }  

Both sides are multiplied by 10 to isolate M on the left side. The fraction are eliminated.  

\boxed{ \ M \times \frac{1}{10} \times 10 = 100 \times 10 \ }  

M = 1,000  

Therefore, we have calculated the number that was asked.  

Hence \boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }  

<u>Note:  </u>

The significant thing to carry out is how to manipulate both sides of the equation with the algebraic properties of equality such as:  

  • Adding  
  • Subtracting  
  • Multiplying, and/or  
  • Dividing both sides of the equation with a similar number

And the commutative property of multiplication, i.e., \boxed{ \ a \times b = b \times a \ }

<h3>Learn more  </h3>
  1. The similar case brainly.com/question/106300
  2. The similar case brainly.com/question/96882  
  3. Calculating mass based on density and volume brainly.com/question/4053884

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FinnZ [79.3K]

Answer:

The volume of the Toblerone bar is 54 cubic inches!

Step-by-step explanation:

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To find the cost per week, divide the total cost by how many weeks you are signing up for.

Total cost / number of weeks = cost per week

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The cost per week is $25 for swimming lessons.

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