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Fudgin [204]
3 years ago
7

Look at the table. Make a conjecture about the sum of the first 25 positive even numbers.

Mathematics
2 answers:
Nata [24]3 years ago
7 0
We notice that the sum is Σ= n(n+1),

Then the SUM of the first 25 even numbersis equal to 25(25+1) = 25 x 26 
insens350 [35]3 years ago
6 0
Even number are of the form 2n.  The sum of this sequence is the average of the first and last terms times the number of terms.

So the first term is 2 and the 25th term is 50 so the sum is:

(2+50)(25/2)

52*12.5=650

The conjecture they wish you to make is that for n terms, the sum will be:

s=n(n+1)

And for 25 terms that would give you:

s=25*26=650
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the binomial coefficient

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4 quarts = how many cups
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3 years ago
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Miss David's birthday is in April, and she is going to have a party. She is looking to buy a bag of decorations. Each bag has tw
arlik [135]

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b = $5

s = $6

Step-by-step explanation:

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either of the 3 equations can be used to determine the price of the items

11b + 6s = 91 equation 1

15b + 4s = 99 equation 2

multiply equation 1 by 4 and equation 2 by 6

44b + 24s = 364 eqn 3

90b + 24s = 594 eqn 4

subtract equation 3 from 4

230 = 46b

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7 0
3 years ago
Determine the intercepts of the line. -4x + 7 = 2y - 3
Strike441 [17]

x- intercept = 5/2

y - intercept = 5

Step-by-step explanation:

the intercepts of a line are found by plugging in x=0 and y = 0

For x-intercept, we put y = 0

and

For- y-intercept we put  =0

Given equation is:

-4x + 7 = 2y - 3\\Putting\ y = 0\\-4x + 7 = 2(0) - 3\\-4x+7 = -3\\-4x = -3-7\\-4x = -10

Dividing both sides by -4

\frac{-4x}{-4} = \frac{-10}{-4}\\ = \frac{5}{2}

Putting x = 0

-4x + 7 = 2y - 3\\-4(0)+7 = 2y -3\\7 = 2y-3\\7+3 = 2y\\2y = 10

Dividing both sides by 2

\frac{2y}{2} = \frac{10}{2}\\y = 5

So,

x- intercept = 5/2

y - intercept = 5

Keywords: Intercepts, lines

Learn more about intercepts at:

  • brainly.com/question/12954015
  • brainly.com/question/12932203

#LearnwithBrainly

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3 years ago
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