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gogolik [260]
3 years ago
11

An icicle drips at a rate that can be represented by the function f(x) = −x2 + 9x − 18, where 0 ≤ x ≤ 10 and x is the number of

hours after the sun has risen. When f(x) is a negative number, the icicle is not dripping. Determine the values when the icicle starts and stops dripping.
x = −3 and x = 6
x = 3 and x = −6
x = 3 and x = 6
x = −3 and x = −6
Mathematics
1 answer:
AleksandrR [38]3 years ago
5 0

Answer: x=3 and x=6

Step-by-step explanation:

Put the first equation in math-way and find the roots/zeros

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 is the difference between a positive like fraction and a negative like fraction always, sometimes, or never positive?
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Lucinda has a coin collection. she sold 12 coins to a friend and bought 7 new coins. she then had 39 coins. How many did she hav
erik [133]

Answer: 44

Step-by-step explanation:The way to calculate the number of coins that she had originally is to look at the difference in coins that changed hands. She sold 12 coins, but only bought 7 new ones. 12-7=5. Lucinda now has 5 coins less than what she started out with. So, she has 39 now, and then add 5 and the answer is 44 coins.

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3 years ago
Supposed charity received a donation of $23.9 million. If this represents 54% of the charity donated funds what is the total amo
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Total amount of funds is $44.26 million.

Step-by-step explanation:

Given,

Donation received = $23.9 million

As it represents 54% of charity.

Let,

Total amount = x

Therefore,

54% of x = 23.9 million

\frac{54}{100}*x=23.9\\0.54x=23.9

Dividing both sides by 0.54

\frac{0.54x}{0.54}=\frac{23.9}{0.54}\\x=\$44.26\ millions

Total amount of funds is $44.26 million.

Keywords: percentage, division

Learn more about percentages at:

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8 0
3 years ago
You drop a ball from a height of 0.5 meters. Each curved path has 52% of the height of the previous path. a. Write a rule for th
Verizon [17]

Answer:

a) a_n = 50 (0.52) ^ {n-1}

b) a_6 = 50 (0.52) ^ 5 = 1.90\ cm

Step-by-step explanation:

If each curved path has 52% of the previous height this means that \frac{a_{n+1}}{a_n} = 0.52

Then the radius of convergence is 0.52 and this is a geometric series.

The geometric series have the form:

a_n = a_1 (r) ^ {n-1}

Where

a_1 is the first term of the series and r is the radius of convergence.

In this problem

a_1 = 0.5 meters = 50 cm

r = 0.52

a) Then the rule for the sequence is:

a_n = 50 (0.52) ^ {n-1}

b) we must calculate a_6

a_6 = 50 (0.52) ^ 6-1\\\\a_6 = 50 (0.52) ^ 5 = 1.90\ cm

3 0
3 years ago
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