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Cloud [144]
3 years ago
9

What are the discontinuity and zero of the function f(x) = x^2+5x+6/x+2

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Answer:

Step-by-step explanation:

Hello,

f(x) =\dfrac{ x^2+5x+6}{x+2}=\dfrac{(x+2)(x+3)}{x+2}=x+3

no discontinuity point

zero = -3

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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Max has 5.50. He has eight more quarters than he does nickels. He had four times as many dimes as he has nickels. How many quart
Oliga [24]

Answer:

<h2>There are 13 quarters, 5 nickels and 20 dimes.</h2>

Step-by-step explanation:

Givens

  • Max has $5.50.
  • He has eight more quarters than he does nickels.
  • He had four times as many dimes as he has nickels.

From these statements, we can deduce algebraical expressions to solve the problem. Let's call q quarters, n nickels and d dimes.

q=n+8 (8 more quarters than nickels)

d=4n (he has four times as many dimes as he has nickels).

0.25q+0.05n+0.10d=5.50 (Max has a total of $5.50, one quartes is $0.25, one nickel is $0.05 and one dime is $0.10).

Let's replace the first two expressions into the third equation

0.25(n+8)+0.05n+0.10(4n)=5.50\\0.25n+2+0.05n+0.40n=5.50\\0.70n=5.50-2\\n=\frac{3.50}{0.70}\\ n=5

There are 5 nickels.

Now, we use this value to find the number of quarters

q=5+8=13

There are 13 quarters.

Also, d=4(5)=20

There are 20 dimes.

Therefore, there are 13 quarters, 5 nickels and 20 dimes.

3 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
ss7ja [257]

Answer:

Step-by-step explanation:

+(+) Two like signs become a positive sign 3+(+2) = 3 + 2 = 5

−(−) 6−(−3) = 6 + 3 = 9

+(−) Two unlike signs become a negative sign 7+(−2) = 7 − 2 = 5

−(+) 8−(+2) = 8 − 2 = 6

7 0
3 years ago
Show me how you ÷372÷4
Valentin [98]

Answer: 93

Step-by-step explanation:

6 0
3 years ago
Which ordered pair is a solution of this
Lostsunrise [7]
It would be (0,-4).
If you do 9(0) + 7(-4) it would be 0 + -28 which equals -28.
7 0
3 years ago
A 2-gallon container of laundry detergent costs $19.68. what is the price per pint?
BigorU [14]

Answer:

0.81

Step-by-step explanation:

There are 8 pints = 1 gallon

8 times 2= 16/19.68=0.813

each pint is 0.81 cents

6 0
3 years ago
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