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Natali [406]
3 years ago
13

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

Mathematics
1 answer:
Scilla [17]3 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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One half of the number n increased by 10 is the
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Step-by-step explanation:

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My car gets 34 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function
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2 years ago
In a pre algebra class containing 40 students, there are 18 freshmen, 19 sophomores, and 3 juniors. What fraction of the class a
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\frac{9}{20} of the class consists of freshmen.

Step-by-step explanation:

Given,

Total number of students = 40

Number of freshmen = 18

Number of sophomores = 19

Number of juniors = 3

Fraction of freshmen = \frac{Number\ of\ freshmen}{Total\ number\ of students}

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Fraction of freshmen = \frac{9}{20}

\frac{9}{20} of the class consists of freshmen.

Keywords: fraction, division

Learn more about fractions at:

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7 0
3 years ago
Jose Rivera purchased 7 textbooks for his classes at River Run Community College. The total cost of the texts was $208.55. What
shepuryov [24]
In the question, there are certain information's that are of immense importance in regards to finding the answer. The first information is that Jose Rivera had purchased 7 textbooks for his classes at River Run Community College. The price that Jose Rivera had to pay was $208.55. The average cost per textbook needs to be found.
The cost of 7 textbooks purchased by Jose Rivera = 208.55 dollars
Then
The cost of 1 textbook purchased by Jose Rivera = (208.55/7) dollars
                                                                               = 29.79 dollars
The average cost of a textbook purchased by Jose Rivera rounded to the nearest cent is 29.80 dollars.
6 0
3 years ago
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