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3 years ago

Find a so the function be continuous Function

Mathematics

1 answer:

gladu [14]3 years ago

5 0

The limit as x approaches 1 from either side should match, so that

$\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1}(-2x+a)=a-2$

$\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1}x=1$

==> a - 2 = 1 ==> a = 3

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Help me please please

gavmur [86]

Answer:

22. 10^10

8 Billion has 9 zeros and 10 to the power 10 means there is a total of 10 zeros. So 10 zeros is more closer to 9 zeros than that of 11 zeros.

23.Exponential form is when a certain number is raised to the power of a certain number or also known as exponents. Exponents signifies that the base or the number that is being raised to a certain powers will be multiplied a number of times, based on the exponents.

Exponential form is defined as repeated multiplication of the base.

7 0

3 years ago

The grade appeal process at a university requires that a jury be structured by selecting eight individuals randomly from a pool

anygoal [31]

Answer: The probability of selecting a jury of all faculty=0.000071

The probability of selecting a jury of six students and two two faculty=0.3667

Step-by-step explanation:

Given: The number of students = 9

The number of faculty members=11

The total number of ways of selecting jury of eight individuals= $^{20}C_8=\frac{20!}{(20-8)!\times8!}=125970$

The number of ways of selecting jury of all faculty= $^9C_8=\frac{9!}{8!(9-8)!}=9$

The probability of selecting a jury of all faculty= $\frac{9}{125970}=0.000071$

The number of ways of selecting jury of six students and two two faculty

$=^9C_6\times ^{11}C_2=\frac{9!}{6!(9-6)!}\times\frac{11!}{2!\times(11-2)!}\\=84\times55=4620$

Now, the probability of selecting a jury of six students and two two faculty

$=\frac{4620}{125970}=0.03667$

7 0

3 years ago

Which of the following modifications to the list of assets and liabilities below would result in a positive net worth? Home owne

ratelena [41]

His home is worth 105,000. That increases his net worth (but the mortgage negates most of that).
His car is worth 26000 but the loan is worth 22000 which negates most of the value of the car.
Investment fund and savings increase his net worth, but the credit card eats up another 16000. Yes he can pay the credit card off monthly, but he should never have run it up as much as he has.

In actual fact, he has little of his own that could be called net worth.
The house is net 5000
The car is net 4000
The two small funds give 6000
So far the assets number 15000
But the credit card is a debt that wipes out everything else. His best course of action is pay off the card as quickly as possible. The interest is going to eat him alive.

8 0

4 years ago

(a) 4x²y + 4xy – 12y

lana [24]

Answer:

4y(x^2+x−3)

Step-by-step explanation:

Hope this helps

8 0

3 years ago

Read 2 more answers

Jonathan is making his favorite pasta dish he served his mom 1/12 of the pot of pasta and his brother 1/6 of the pot. how much o