MATHEMATICS HIGH SCHOOL

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=−5x^2+263x−1844

Answers

Answer 1
Answer:

Answer: The maximum amount of profit the company can make is $1604.

Step-by-step explanation:

To find the maximum amount of profit the company can make, we need to determine the vertex of the quadratic equation y = -5x^2 + 263x - 1844. The x-coordinate of the vertex represents the selling price that will yield the maximum profit, and the y-coordinate represents the maximum profit itself.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a), where a, b, and c are the coefficients of the quadratic equation in the form ax^2 + bx + c.

In this case, a = -5 and b = 263. Let's substitute these values into the formula:

x = -263 / (2 * -5)

Now, let's simplify the expression:

x = -263 / -10

x = 26.3

To find the maximum profit, we substitute the x-coordinate of the vertex into the equation:

y = -5(26.3)^2 + 263(26.3) - 1844

Now, perform the calculations:

y = -5(691.69) + 6906.9 - 1844

y = -3458.45 + 6906.9 - 1844

y = 1604.45

Therefore, to the nearest dollar, the maximum amount of profit the company can make is $1604.
Answer 2
Answer:

Final answer:

Profit is a financial gain that occurs when the revenue from a company activity is more than the costs, costs, and taxes required to support the activity. To put it another way, profit is what is left over after all costs have been subtracted from revenue

Explanation:

The corporation can earn a maximum profitof $1,292 to the nearest dollar.

Using the given equation y = -5x² + 263x - 1844 we can utilise the procedures below to get the greatest profit the corporation may make:

1. Using the equation x = -b/2a, where a = -5 and b = 263, determine the x-coordinate of the parabola's vertex.

2. To determine the highest possible value of y, substitute this x value into the equation.

These actions result in:

\text{x} = (-b)/(2a) = (-263)/((2\cdot(-5))) = 26.3

When we enter this x value into the equation, we obtain:

\text{y} = -5(26.3)^2 + 263(26.3) - 1844\thickapprox \$3440

As a result, the corporation can earn a maximum profit of $3,440 to the nearest dollar.

Read more about profit at:

brainly.com/question/34892562

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What will most likely be Wilson's approximate science score if he does science homework for 6 hours a week?33 points
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Answers

The right answer for the question that is being asked and shown above is that: "52 points." the choice that will most likely be Wilson's approximate science score if he does science homework for 6 hours a week is 52 points

Answer:

the answer is 55.. this SHOULD NOT BE A VERIFIED ANSWER!! I KNEW I SHOULD'VE WENT WITH MY FIRST THOUGHT INSTEAD. I DONT EVEN KNOW WHY I PAY FOR THIS APP. IT HELPS MAYBE 50% OF THE TIME. ALWAYS DIFFERENT ANSWERS EVERYWHERE. GRRRRR

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how do write whole numbers without scientific notation? can you elaborate on your question.

Help please thanks so much

Answers

Answer:

D The range in shelter A is 22 and the range in Shelter B is 18

Step-by-step explanation:

All you have to do is look at the start of the line and the end of the line and then subtract it.

30 - 8 = 22

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How to find simplify the ratio 25:35

Answers

5:7

Step-by-step explanation:

To simplify the ratio 25:35, you can divide both numbers by their greatest common divisor (GCD). In this case, the GCD of 25 and 35 is 5. So, dividing both numbers by 5 gives us the simplified ratio: 5:7.

Answer:

25:35 or 25/35 = 5/7 or 5:7

Step-by-step explanation:

1. Start with the ratio 25:35.

2. Find the HCF of 25 and 35. The HCFof 25 and 35 is 5.

3. Divide both numbers in the ratio by the HCF.

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You want to buy an item that costs $100. Which of these is the most cost-effective choice for buying the item?. a. using a paid membership card to buy it at a 10 percent discount. b. buying it online at a 10 percent discount with a $5 shipping charge. c. buying it at a 10 percent discount without sales tax.

Answers

Answer

c. buying it at a 10 percent discount without sales tax.


Explanation

We are going to compare the 3 choices and then determine the most cost effective.

a. using a paid membership card to buy it at a 10 percent discount.

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cost = $100 - $10 = $90

On top of this $90 there is the charges of the membership card.

b. buying it online at a 10 percent discount with a $5 shipping charge.

100%-10% = 90%

90% of 100 = $90

Cost: $90 + $5 = $95

c. buying it at a 10 percent discount without sales tax.

100% - 10% = 90%

90/100 × 100 = $90. This is the must cost effective method since there is no other cost involved.


the one that is the most cost-effective choice for buying the item would be : C. buying it a percent discount without sales tax

With this option, you can get a clear $ 10 cut which is higher compared to the other options

hope this helps

Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.In which step did Tran first make an error?

Step 1
Step 2
Step 3
Step 4

Answers

The following steps of solving for the roots of 2x² - 4x -3 = 0 were retrieved from another source Step 1 2x² - 4x = 3 Step 2 2(x² - 2x) = 3 Step 3 2(x² - 2x + 1) = 3 + 1 Step 4 2(x - 1)² = 4 From this, we can see that on Step 3, Tran made a mistake of adding 1 to 3. As we can see, 2(x² - 2x + 1) = 2x² - 4x + 2. That means, instead of adding 1, it should have been 2. Therefore, the step that Tran first made an error is Step 3.

The solution to the quadratic equation 2x² - 4x - 3 = 0 is given as x = 1 ± √5/2

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the quadratic equation:

2x² - 4x - 3 = 0

Using completing the square, add 3 to both sides:

2x² - 4x - 3 + 3 = 0 + 3

2x² - 4x = 3

Divide through by the coefficient of x²:

x² - 2x = 3/2

Add to both sides the square of half the coeficient of x:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 5/2

x = 1 ± √5/2

The solution to the quadratic equation 2x² - 4x - 3 = 0 is given as x = 1 ± √5/2

Find out more on equation at: brainly.com/question/2972832

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