MATHEMATICS HIGH SCHOOL

The scatter plot below shows the number of prom tickets sold over a period of 7 days. The line of best fit drawn on the plot shown is used to predict the number of tickets sold on a certain day. Use the two points shown on the line of best fit to calculate its slope to the nearest tenth.

Answers

Answer 1
Answer:

Answer:

The slope is 4.2\ (tickets)/(day)

Step-by-step explanation:

The picture of the question in the attached figure

Let

x ----> the number of days

y ---> the number of tickets sold

we have the points

(1,30) and (7,55)

The formula to calculate the slope between two points is equal to

m=(y2-y1)/(x2-x1)

substitute the given values in the formula

m=(55-30)/(7-1)

m=(25)/(6)

m=4.2\ (tickets)/(day)

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Betty sets up a lemonade stand and charges $1 per glass. It cost her $50 to set up the stand. Which function gives the profit, p, she makes by selling g glasses of lemonade? The number of glasses of lemonade, g, that Betty needs to sell to make a profit, p, if the setup cost her $50 is given by the function . f(g) = .

Answers

If you would like to find the function that gives the profit Betty makes by selling a number of glasses of lemonade, you can find this using the following steps:

p ... profit
g ... glasses of lemonade

f(g) = p = g * $1 - $50

The correct result would be f(g) = g * $1 - $50.

Answer with explanation:

Amount charged to Betty for Lemonade Stand = $ 50

Amount charged by Betty for a glass of Lemonade= $ 1

Variable , P is used to denote Profit.

Variable, g , is used to denote number of glasses of Lemonade Sold.

If Betty wants to make a profit, then

   → g (Number of glasses of lemonade Sold) > 50

 ⇒Profit (P)=[Number of glasses of Lemonade Sold (g)>50]×$ 1 -$50

→ P=g -50, where, g >50,that is a positive integer,greater than 50.

Set up Cost , of $ 50 is represented by the function , f(g).

So, the above function changes to

→ P = g - f(g)

The area of a rectangular wall of a barn is 55 square feet. It's length is 6 feet longer than the width. Find the length and width of the wall of the barn.

Answers

x - width
x+6 - length

x(x+6)=55\n x^2+6x-55=0\n x^2+11x-5x-55=0\n x(x+11)-5(x+11)=0\n (x-5)(x+11)=0\n x=5 \vee x=-11

x=5 feet
x+6=11 feet

Final answer:

The dimensions of the barn wall are found by setting up and solving a quadratic equation involving its area and the relationship between its length and width. Discarding the nonsensical negative solution, we find that the width of the wall is 5 feet and the length is 11 feet.

Explanation:

Given that the area of the rectangular wall is 55 sq. ft. and the length is 6 ft. longer than the width, we can assign the width as x and the length as x + 6. Therefore, length multiplies width equals to the area of the rectangle, we then have the equation: x * (x + 6) = 55.

After rearranging the equation, we obtain: x² + 6x - 55 = 0. This is a quadratic equation that we can solve using the quadratic formula or by factoring if possible. Factoring results in (x - 5)(x + 11) = 0. Setting each factor equal to zero gives the possible solutions x = 5 and x = -11.

However, since the dimensions of a physical object (in this case, width of the barn wall) cannot be negative, we discard x = -11. Therefore, the barn wall has a width of 5 feet and a length of 5 + 6 = 11 feet.

Learn more about Solving Quadratic Equations here:

brainly.com/question/27318739

#SPJ11

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Answers

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Answers

The quotient of 10 and -5 is  10 /-5 =  -2.

Opposite of that, opposite of - 2 is -(-2) =  2.

3 less than 2  is 2 - 3 = -1.

So the answer is -1.

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C. 75/373.
D. 93/23 or 4 1/23.

Answers

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Answers

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