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marusya05 [52]
3 years ago
15

The function A = 15x - x2, where x is the width in yards, gives the area A of a llama pen in square yards. Make a table using 1/

2 units from 0 to 10. Graph the function. Use your graph to answer the following question:
Which width gives the greatest area?
Which width gives the greatest area?
a.
6 yd
c.
8.5 yd
b.
7.5 yd
d.
10 yd
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0

Answer:

The width which gives the greatest area is 7.5 yd

Step-by-step explanation:

This is an application of differential calculus. Given the area as a function of the width, we simply need to differentiate the function with respect to x and equate to zero which yields; 15-2x=0 since the slope of the graph is zero at the turning points. Solving for x yields, x=7.5 which indeed maximizes the area of the pen

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6 x 12 x 30 is your answer


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3 years ago
What’s is the absolute value of -6? use the number line to help answer the question.
dangina [55]

Answer:

6

Step-by-step explanation:

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6 0
4 years ago
Help please with this one
evablogger [386]

Answer: 10.20 yd

<u>Step-by-step explanation:</u>

 h² + 5h - 155 = 0

a=1   b=5  c=-155

x = \frac{-b +/- \sqrt{b^{2}-4ac}}{2a}

h = \frac{-5 +/- \sqrt{5^{2}-4(1)(-155)}}{2(1)}

h = \frac{-5 +/- \sqrt{25+620}}{2}

h = \frac{-5 +/- \sqrt{645}}{2}

h = \frac{-5 +/- 25.40}{2}

h = \frac{-5 +25.40}{2}    ,    h = \frac{-5 - 25.40}{2}

h = \frac{20.40}{2}          ,     h = \frac{-30.40}{2}

h = 10.20            h = -15.20  (height can't be negative)


5 0
3 years ago
Please solve the attachment which is given, and give me the answer. Thank you for your lovely time! &lt;3
saw5 [17]

Answer:

1. 36 liters

2. 3 kg

Step-by-step explanation:

because 12 liters is 4kg if you multiply both by 3 you’ll get that 12 kg is equal to 36 liters


also, if you divide both by 4, you’ll see that 1kg is equal to 3 liters. Then with this knowledge, yiucc be an see that if you multiply both by 3; 3 kg will be 9 liters! :)

3 0
2 years ago
What is the prime factorization of 154?
Morgarella [4.7K]

Answer:

2 x 7 x 11

Step-by-step explanation:

5 0
3 years ago
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