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xxTIMURxx [149]
2 years ago
12

jerry swims 5 3/5 killometers in a 7 day period. He swims the same distance each day.What distance does he swim in a day

Mathematics
1 answer:
Andrews [41]2 years ago
4 0

Answer:

0.8 km per day

Step-by-step explanation:

5 3/5 is the same as 5.6, so

5.6/7

= 0.8 km per day

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Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.
liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

f(x) = \frac{x^2+4x+3}{x^2-x-2}

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial x^2-x-2

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

(x-2) (x + 1)

We do the same with the numerator

x^2+4x+3

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

(x+3)(x + 1)

Therefore

f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}

Note that \frac{(x+1)}{(x+1)}=1 only if x \neq -1

So since x = -1 is not included in the domain the function has a discontinuity in x = -1

3 0
3 years ago
Describe what the notation Upper P (Upper B vertical line Upper A )represents.
sergey [27]

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Upper P (Upper B vertical line Upper A)

means

P(B|A)

It means that probability of getting event B given that Event A is occurred.

D. The probability of event B​ occurring, given that event A has already occurred. is also expressed as P(B|A)

Hence, Option 'D' is correct.

4 0
3 years ago
Skylar makes turkey sandwiches for a family reunion. He purchases 5 pounds 4 ounces of sliced turkey for $26.88. What is the uni
Advocard [28]

Answer:

The unit cost per ounce for turkey skylar is $ 0.316  

Step-by-step explanation:

The total amount of sliced turkey = 5 pounds + 4 ounces

The total cost of turkey slice = $26.88

Now, as we know

1 pounds = 16 ounces

∴ 5 pounds = 16 × 5 = 80 ounces

So, the total amount is 5 pounds + 80 pounds = 85 pounds

∵ 85 pounds of turkey sliced cost $ 26.88

∴ 1 pounds of turkey sliced cost $ \frac{26.88}{85}  = $ 0.316

Hence the unit cost per ounce for turkey skylar is $ 0.316  Answer

8 0
3 years ago
Factor<br> x + x²y + x³y²<br><br> and <br><br> 10ℎ³????³ – 2h????² + 14hn
xenn [34]
What is the question marks for?

The First One Answer is

x•(1+xy+x^2y)
8 0
3 years ago
8 quarters or 2 1 dollar bills and why
anygoal [31]

They both have the same value.

Step-by-step explanation:

4 quarters= 1 dollar

So, 8 quarters would be 2 dollars.

5 0
3 years ago
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