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docker41 [41]
3 years ago
6

What are the discontinuities of the function f(x) = the quantity of x squared plus 2 x minus 24, all over 6 x plus 24.?

Mathematics
1 answer:
noname [10]3 years ago
4 0
The discontinuities are x=-4. Because it is a fraction, you cannot divide by zero so if the denominator is set to equal zero, which it will if x=-4, the function will be be undefined
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Ninety percent of the seats of a flight are filled. There are 240 seats. How many seats are filled?
antoniya [11.8K]

Answer:

216 seats are filled

Step-by-step explanation:

240-90%=24

24+216=240

thats how you know 216 is correct

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DerKrebs [107]
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A pond has 150 fish and the population decreases by 8% each day. How many days before there are 30 fish
nlexa [21]

Answer:

19 days

Step-by-step explanation:

Given

a = 150 --- initial

r = 8\% -- rate

Required

Days when the fish gets to 30

The function is exponential and as such it follows;

y = ab^x

Where x represents the number of days and y the number of fishes

Because the fishes decreases;

b = 1 - r

So, we have:

b = 1 - 8\%

Express as decimal

b = 1 - 0.08

b = 0.92

In y = ab^x

a =150

y = 30

b = 0.92

So, we have:

30 = 150 * 0.92^x

Divide both sides by 150

0.2 = 0.92^x

Take log of both sides

log(0.2) = log(0.92^x)

Apply law of logarithm

log(0.2) = x\ log(0.92)

Make x the subject

x = \frac{log(0.2)}{log(0.92)}

x = \frac{-0.6990}{-0.0362}

x = 19.309

x \approx 19

<em>Hence, it takes approximately 19 days</em>

3 0
3 years ago
How many 1/8-pound patties can Mrs. Drake make from 7/8 of a pound of a hamburger?
GenaCL600 [577]
Mrs.Drake can make 7 1/8-pound patties.
5 0
2 years ago
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Answer:

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Step-by-step explanation:

6 0
3 years ago
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