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Irina18 [472]
2 years ago
12

The method of completing the square was used to solve the equation 2x^2 – 12x + 6 = 0. Which equation is a correct step when usi

ng this method?
(x - 3)2 = 6

(x – 3)² = 3

(x - 3)2 = -3
Mathematics
1 answer:
solong [7]2 years ago
4 0

Answer:

(x-3)^2 = 3

Step-by-step explanation:

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I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help
VMariaS [17]

Answer: a) 8.779 years

               b) 8.664 years

<u>Step-by-step explanation:</u>

a)

A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}

  • A: accumulated amount (balance)
  • P: principal amount (original/initial investment)
  • r: interest rate (convert to a decimal)
  • n: number of times compounded per year
  • t: number of years

Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown

1800=900\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\2=\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=ln \bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=3t\ ln\bigg(1+\dfrac{0.08}{3}\bigg)\\\\\\\dfrac{ln\ 2}{3\ ln\bigg(1+\dfrac{0.08}{3}\bigg)}=t\\\\\\\large\boxed{8.779=t}

b)  

A=Pe^{rt}

1800=900e^{0.08t}\\\\\\2=e^{0.08t}\\\\\\ln\ 2=0.08t\\\\\\\dfrac{ln\ 2}{0.08}=t\\\\\\\large\boxed{8.664=t}

4 0
2 years ago
Tara scored 20 points in her first basketball game and n points in each of the next 6 games. What expression represents tara's t
Karo-lina-s [1.5K]

Answer:

  20+6n

Step-by-step explanation:

Tara's point total is found by adding up the points in each game ...

  20 + n + n + n + n + n + n

  = 20 +6n

_____

Of course, we use multiplication to simplify repeated addition.

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3 years ago
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aalyn [17]

Answer:

Slope= (-4-6)/(3-1)

=-10/2

=-5

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3 years ago
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astraxan [27]
First get y by its self , then graph , find intersection point and plug in x and y to both equations, see if it makes sense , then the solution must be you intersection point

5 0
3 years ago
???????????????????????
drek231 [11]

Answer:

x ≅ 7

Step-by-step explanation:

cos(67°) = x/18

x = 18cos(67°) ≅ 7

7 0
2 years ago
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