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2 years ago

The archway of the main entrance of a university is modeled by the quadratic equation

Mathematics

1 answer:

Scilla [17]2 years ago

3 0

Answer:

B. (1,5) and (5.25, 3.94)

Step-by-step explanation:

The answer is where the 2 equations intersect.

We need to solve the following system of equations:

y = -x^2 + 6x

4y = 21 - x

From the second equation:

x = 21 - 4y

Plug this into the first equation:

y = -(21 - 4y)^2 + 6(21 - 4y)

y = -(441 - 168y + 16y^2)+ 126 - 24y

y = -441 + 168y - 16y^2 + 126 - 24y

16y^2 + y - 168y + 24y + 441 - 126 = 0

16y^2 - 143y + 315 = 0

y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)

y = 5, 3.938

When y = 5:

x = 21 - 4(5) = 1

When y = 3.938

x = 21 - 4(3.938) = 5.25.

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Suppose a subset of eight different days of the year is selected at random. What is the probability that each day is from a diff

goldfiish [28.3K]

Answer:

P = 0.05

Step-by-step explanation:

12 months * 30 days each = 360 days

From 306 days, we have to select 8 days = 360C8 ways(Total ways)

We want each days from different month. First, we have to select 8 month from 12 month = 12C8 ways

---By selecting 8 month, we will select a days from each month. That can be done in = 30C1 * 30C1 * .................30C1 (8 ways) [From a month with 30 days, we can select a day in 30C1 ways = 30 ways]

Therefore P = Number of ways of selecting each days from different month / Total number of ways

P = 12C8 * 30^8 / 360C8

P = 495 * 656100000000 / 6469697679132645

P = 0.0501985588982791

P = 0.05

Hence the probability that each day is from a different month is 0.05

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2 years ago

A group of friends is sharing 25 pounds of berries. Type the answer to each question in the boxes below. If each friend received

Lady bird [3.3K]

For the first 25 If they all share 25 pounds to a pound each the second I don’t understand

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1 year ago

Which term is defined as a fee charged for the use of money?

Veronika [31]

Which term is defined as a fee charged for the use of money?

$\sf\purple{a.\:interest}$ ✔

b. down payment

C. principal

d. default

Explanation:

Interest is defined as a fee charge for the use of money.

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2 years ago

In a retail setting, payroll is often based on projected sales. If your payroll budget is 6% of projected sales of $3500.00 and

Bad White [126]

The maximum number of hours that can be allocated in a day is 21

Data given;

Sale = $3500
Employee pay = $10.00 per hour
Percentage allocated to employee = 6% of sales

<h3>Percentage</h3>

This is the process of finding a fraction of a value multiplied by 100.

Let's find the actual figure allocated to employee pay.

6% of $3500 is;

$6/100 = x/ 3500\\x = 0.06*3500\\x = 210$

The percentage out of sale allocated for employee pay is $210

Now we know the actual amount allocated to employee pay and it is $210.

Divide the amount allocated to employee pay by $10:00 to find the actual hours we can allocate in a day.

$y = 210/10 = 21$

The maximum number of hours we can allocate in a day is 21 hours.

Learn more on percentage here;

brainly.com/question/843074

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2 years ago

Are the polygons similar? If they are, write a similarity statement and give the scale factor. The figures are not drawn to scal

Ugo [173]

The answer is C.
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7 0

3 years ago