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3 years ago

Let f(x) = (x ^ 2 - 5x + 4)/(x - 1) and g(x) = 2 ^ (x - 3). For which value of x does f(g(x)) have a discontinuity ?

Mathematics

1 answer:

polet [3.4K]3 years ago

6 0

Answer:

There is a discontinuity at x=1

Step-by-step explanation:

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The answer would be -7

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4 years ago

Y = (x + 4)2 - 1<br> Standard form

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3 years ago

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solong [7]

The full workings for the house purchase you made on a mortgage are as follows:

1. Price of House = $499,000 (given)

2. Down Payment = $99,800 ($499,000 x 20%)

3. Amount Financed (Mortgage principal) = $399,200 ($499,000 - $99,800).

4. Monthly Payment = $2,522.94 (given)

5. Number of monthly payments = 360 months (30 x 12)

6. Total Payback = $908,258.40 ($2,522.94 x 360)

7. Total Interest = $509,058.40 ($908,258.40 - $399,200)

8. Assessed Valuation = $199,600 ($499,000 x 40%)

9. Real Estate Taxes (annual) = $6,047.88 ($199,600 x $3.03/$100)

10. Escrow Payment Per month (taxes & insurance) = $628.99 ($6,047.88 + $1,500)/12

11. Monthly Payment to lender (escrow + mortgage) = $3,151.93 ($628.99 + $2,522.94)

<h3>What is a mortgage?</h3>

A mortgage is a loan arrangement that allows a borrower to buy some property, usually a house, without paying for the full cost immediately.

The borrower then makes a monthly payment, which includes the principal and its interest.

Learn more about mortgage payments at brainly.com/question/22846480

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2 years ago

A manufacturing company produces parts that are good (90%), partially defective (2%), or completely defective (8%). These parts

Schach [20]

Answer:

The probability that a part is good given that it passed the inspection machine is P=0.978.

Step-by-step explanation:

As the inspection machine detect and discard any part that is completely defective, only the good and partially defective parts passed this inspection.

Then, if we have:

Probability of being a good part P(G)=0.90

Probability of being a patially defective part P(P)=0.02

Probability of being a completely defective part P(D)=0.08.

Probability of passing the inspection machine = 1-P(D)=1-0.08=0.92

Then, the probability of having a good part, given that it passed the inspection machine is:

$P(G|Pass)=P(G)/P(Pass)=0.90/0.92=0.978$

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3 years ago

Will give brainliest answer

ArbitrLikvidat [17]

Answer:

180°

Step-by-step explanation:

Connecting any point of original figure with the same of the image

For example point C with C'

The line goes through the origin (0, 0)

<u>And the coordinates changed as:</u>

(x, y) → (-x, -y)

It means the rotation is 180°

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3 years ago