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2 years ago

explain why the function f(x)= 5x-15/x-3 is not asymptotic to the line x=3. sketch the graph of this function.

1 answer:

3 0

X=3 is a vertical line . The question is "Is this line a vertical asymptotefor the function f(x)?". Vertical asymptote is vertical line near which the function grows without bound.
The function f(x)=5x-15/x-3 is not asymptotic to the line x=3, because for x=3 f(x)=5*3-15/3-3=0/0=0 . So, there is a value for x=3 and the function f(x) does not grow near x=3 without bound.

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HELPP ASAP NEEDED MATH

trapecia [35]

Answer:

992

Step-by-step explanation:

Divide 1000 by 26.

The answer is 38 and some left over. We don't care what the leftover is because it is nearly 0.5 and that means 13 people were left over.

Take the integer value (38) and multiply it by 26. You get 988.

You want there to be 4 left over. 4 + 988 = 992. That's one way of doing the problem.

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1 year ago

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g A sailing ship stopped at several islands, releasing one mating pair of goats onto each one. On the large island, the goats' g

PSYCHO15rus [73]

Answer:

The goat population reaches 1000 in 12.4 years

Step-by-step explanation:

After t years, the number of goats is given by

$N = N_0e^{bt}$

where $N_0$ is the initial number of goats and b is the per capita growth rate.

From the question,

$N_0 = 2$
b = 0.5
N = 1000

$1000 = 2e^{0.5t}$

$e^{0.5t} = 500$

$0.5t = \ln 500 = 6.214$

$t = \dfrac{6.2}{0.5} = 12.4$

5 0

1 year ago

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Last year Lenny had an annual earned income of $58,475. He also had passive income of $1,255, and capital gains of $2,350. What

Lelechka [254]

Answer: d. $62,080

Step-by-step explanation:

The capital gain is the profit earned from an investment whereas the passive income is the income generated by very minimal daily efforts.

Given: Annual income earned by Lenny = $\$58,475$

Passive income = $\$1,255$

Capital gain = $\$2,350$

Now, $\text{Total gross income =Annual income+Passive income+Capital gain}$

$=\$58,475+\$1,255+\$2,350=\$62,080$

Hence, Lenny's total gross income for the year = $62,080

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1 year ago

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ra1l [238]

Answer:

35 red marbles

Step-by-step explanation:

So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.

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1 year ago

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A silent auction was held for a quilt donated for charity. Fifteen bids that were drawn randomly are listed here. Find the value

Alik [6]

45th percentile means that 45% of the data fall below that number while 55% (that is, 100-45) fall above it.

Now, arranging the number in ascending order;
$60, $85, $95, $105, $120, $145, $155, $175, $190, $215, $235, $240, $260, $285, $325

The total number of counts = 15
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Round up,
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Therefore, 45th percentile value of the data = $155

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1 year ago