2. The path of a high diver is given by y = + (2x2 – 9x – 56), where y is the height of the diverabove the water and x is the horizontal distance from the diving board (in feet). How far from the
end of the diving board is the diver when he hits the water?

Answers

Answer 1
Answer:

Answer:

The diver will be 8 feet from the end of the board when he hits the water.

Step-by-step explanation:

The diver hits the water when y = 0.

To find the distance, we have to find the values of x when y = 0.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^(2) + bx + c, a\neq0.

This polynomial has roots x_(1), x_(2) such that ax^(2) + bx + c = (x - x_(1))*(x - x_(2)), given by the following formulas:

x_(1) = (-b + √(\bigtriangleup))/(2*a)

x_(2) = (-b - √(\bigtriangleup))/(2*a)

\bigtriangleup = b^(2) - 4ac

In this problem, we have that:

y = 2x^(2) - 9x - 56

2x^(2) - 9x - 56 = 0

So

a = 2, b = -9, c = -56

Then

\bigtriangleup = b^(2) - 4ac = (-9)^(2) - 4*2(-56) = 529

x_(1) = (-(-9) + √(529))/(2*2) = 8

x_(2) = (-(-9) - √(529))/(2*2) = -3.5

It is a horizontal distance, so the answer is a positive value.

The diver will be 8 feet from the end of the board when he hits the water.


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Can y’all please help me out with these questions

a technician charges 25$ per hour plus 50$ for a house call to repair home computers. make a table and a graph to show the cost for 1,2,3, and 4 hours of home computer repair service. is there a direct variation?

Answers

Answer:

75$

Step-by-step explanation:

because 25+50=75

Answer:

The graph starts at $75 since the price for call is $50 and 1 hour of work costs $25.

Direct variation is only noticeable at the beginning of the graph after that the function is linear.

Step-by-step explanation:

Which expression is equivalent to 10q^5w^7/2w^3•4(q^6)^2/w^-5

Answers

The expression is equivalent to 20q^17w^19.

What is an expression?

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

10q^5w^7/2w^3•4(q^6)^2/w^-5

Now,

To simplify the expression, we can use the following rules of exponents:

To multiply two powers with the same base, add their exponents

$$(10q^5w^7)/(2w^3) * (4(q^6)^2)/(w^(-5))$$$$= (10q^5w^7)/(2w^3) * (4q^(12))/((1)/(w^5))$$$$= (10q^5w^7)/(2w^3) * (4q^(12)w^5)/(1)$$$$= (10 * 4 q^5 q^(12) w^7 w^5)/(2 w^3)$$$$= (40 q^(17) w^(12))/(2 w^3)$$$$= 20 q^(17) w^(9)$$

Therefore, by the expression the answer will be 20q^17w^19.

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20q^17 w^9

Brainliest?

What is the slope intercept form equation of the line that passes through (3, 4) and (5, 16)?

Answers

It is convenient to start with the 2-point form of the equation for a line.

... y - y1 = (y2 - y1)/(x2 - x1)×(x - x1)

Either point can be (x1, y1), and the other can be (x2, y2). If we take them in order, we get

... y - 4 = (16 - 4)/(5 - 3)×(x - 3) . . . . . fill in the two points

... y = 12/2(x -3) +4 . . . . . . . . . . . . . . add 4, simpliffy a bit

... y = 6x -18 +4 . . . . . . . . . . . . . . . . . eliminate parentheses

... y = 6x -14 . . . . . . . . . . . . . . . . . . . . put in slope-intercept form

If the owner of a sole proprietorship is sued by a customer who slipped and fell in her store,the sole proprietor is personally liable for damages the injured woman is awarded by the courts
the sole proprietor is not liable under any circumstance
the sole proprietor is covered by a Small Business Administration insurance policy
the sole proprietor is liable only for a small fraction of any damages

Answers

Answer:

the sole proprietor is personally liable for damages the injured woman is awarded by the courts.

Step-by-step explanation:

Final answer:

In a sole proprietorship, the owner is personally liable for any damages awarded by the court in the event of a lawsuit. They are not typically covered by small business insurance, and their liability is not limited.

Explanation:

Based on the question, the owner in a sole proprietorship is personally liable for any damages that are awarded by the court. This means that if a customer slipped and fell in her store and sued the owner, the sole proprietor- the business owner, would be held responsible for paying any damages. The liability of the sole proprietor emanates from the fact that in this type of business entity, there is no legal distinction between the owner and the business. This means all the debts and liabilities of the business are considered to be those of the owner. Thus, under normal circumstances, a sole proprietor is not covered by a Small Business Administration insurance policy, and their liability is not limited to a small fraction of the damages.

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Which number line represents the solutions to |–2x| = 4?

Answers

Answer:

the answer is C

Step-by-step explanation:

Answer:

I want to say its b

The bar diagram represents the ratio of points scored by the home team and the visiting team in a basket ball game. How many points did the visiting team score if the home team scored 84 points?

Answers

Answer:

60 points.

Step-by-step explanation:

Bar diagram which represents the ratio of the points earned by the home team and visitor's team.

Fro the bar diagram,

Ratio of the points earned = \frac{\text{Points earned by the home team}}{\text{Points earned by visitor's team}}

                                            = (7)/(5)

If the points earned by the home team = 84

\frac{\text{Points earned by the home team}}{\text{Points earned by visitor's team}} = (7)/(5)

\frac{84}{\text{Points earned by visitor's team}} = (7)/(5)

Points earned by the visitor's team = (84* 5)/(7)

                                                          = 60

Therefore, 60 points were earned by the visitor's team.