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GarryVolchara [31]
2 years ago
7

A quadratic function is defined by g(x) = (x + 4)2 +7.

Mathematics
1 answer:
Travka [436]2 years ago
4 0

Step-by-step explanation:

The vertex is the point (-4, 7).

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Current rules for telephone area codes allow the use of digits​ 2-9 for the first​ digit, and​ 0-9 for the second and third​ dig
Anna35 [415]

Using the fundamental counting theorem, we have that:

  • 648 different area codes are possible with this rule.
  • There are 6,480,000,000 possible 10-digit phone numbers.
  • The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.

The fundamental counting principle states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are ways to do both things.

For the area code:

  • 8 options for the first digit.
  • 9 options for the second and third.

Thus:

8 \times 9 \times 9 = 648

648 different area codes are possible with this rule.

For the number of 10-digit phone numbers:

  • 7 digits, each with 10 options.
  • 648 different area codes.

Then

648 \times 10^7 = 6,480,000,000


There are 6,480,000,000 possible 10-digit phone numbers.

The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.

A similar problem is given at brainly.com/question/24067651

5 0
2 years ago
Hannah's mom gave her a bag of chips she gives 6 chips to each other 10 friends she has 12 pieces left for herself how many kids
shutvik [7]

Answer:

72 chips

Step-by-step explanation:

6×10=60

60+12=72

7 0
3 years ago
Kate currently has an account balance of $7,194.66. She opened the account 21 years ago with a deposit of $2,978.41. If the inte
jolli1 [7]
Use the attached formula.
exp = [log (total / principal) / n*years]
where "n" is compounding periods per year
exp = [log (7,194.66 / 2,978.41) / (365*21)
exp = log ( <span> <span> <span> 2.4156042989 </span> </span> </span> ) / 7,665
exp = log ( <span> <span> 2.4156042989 </span> </span> ) / 7,665
exp = 0.38302579382 / 7,665
exp = <span> <span> <span> 0.00004997074935681670 </span> </span> </span>

rate = (10^exp -1)* n
rate = (10^<span>0.00004997074935681670 -1) * n
</span>rate = <span><span>(1.0001150685 </span> -1) * 365
</span>rate = <span>(.0001150685) * 365</span>
rate = <span> <span> <span> 0.0420000025 </span> </span> </span>
rate = <span>4.20000025 %
rate = 4.2 %

Yes, it's just that easy.  LOL


</span>

5 0
2 years ago
Read 2 more answers
Do 33 and 34 for brainiest in 60 seconds
Archy [21]

Answer:

ooooooooooooooooooooooooooooooooo

6 0
3 years ago
Which of the following shows the additive inverse property? 9 + 0 = 9 9 + 1 = 10 9 + (-1) = 8 9 + (-9) = 0
UkoKoshka [18]
9+(-9)=0  you are showing the opposite sign of the number that added together would give you the sum of zero.

5 0
2 years ago
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