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Ganezh [65]
3 years ago
6

Please help me for the brainliest answer

Mathematics
1 answer:
Oxana [17]3 years ago
6 0

Answer:

aₙ= -2n²

Step-by-step explanation:

<h2><u>Solution 1:</u></h2>

The sequence:

  • -2, -8, -18, -32, -50

The difference between the terms:

  • -6, -10, -14, -18
  • a₁= -2
  • a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)
  • a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)
  • a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)
  • ...
  • aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²

As per above, the nth term is: aₙ= -2n²

<h2><u /></h2><h2><u>Solution 2</u></h2>

The sequence:

  • -2, -8, -18, -32, -50
  • -2*1, -2*4, - 2*9, -2*25
  • -2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²
  • aₙ= -2n²
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3 years ago
jessica's mother gave her 70 chocolates to give to her friends. She gave 3 chocolates to each of her friends at the party and ha
Blizzard [7]

Answer:

She had 22 friends at her graduation party.

Step-by-step explanation:

70 chocolates total minus 3 chocolates times the number of friends she had at the party = 4

70-3x=4

Subtract 70 from both sides of the equation

-3x=4-70

Simplify

-3x=-66

Divide both sides of the equation by -3

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Simplify

x=22

8 0
3 years ago
) Final averages are typically normally distributed with a mean of 72 and a standard deviation of 12.5. Your professor states th
Bad White [126]

Answer:

65.45

Step-by-step explanation:

Zscore = (x - mean) / standard deviation

x = score

Percentage below C :

D = 18% ; F = 12%

Sum = 30%

Obtain the Zscore for the proportion below D

P(Z < 0.30) = -0.524

Hence, Zscore = -0.524

Put Zscore = -0.524 in the equation :

-0.524 = (x - 72) / 12.5

-0.524 * 12.5 = x - 72

-6.55 = x - 72

-6.55 + 72 = x

x = 65.45

To receive a grade of C or better, score must be atleast 65.45

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Express as a unit rate. $18.50 for 5 lbs​
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Answer:

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7 0
3 years ago
Read 2 more answers
Find the focus for y=x^2+4x-7
padilas [110]

ANSWER

(2,-10.75)

EXPLANATION

The given function is

y =  {x}^{2}  - 4x - 7

We rewrite this function to obtain,

(y + 11) =  {( x- 2)}^{2}

We now compare this function to

(y  -  k) = 4p {( x- h)}^{2}

We have

4p = 1

This implies that,

p =  \frac{1}{4}

The vertex is (2,-11).

The focus is

(2,-11+ \frac{1}{4} )

(2,- \frac{43}{4} )

(2,-10.75)

7 0
3 years ago
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