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ikadub [295]
1 year ago
9

Find the following sums ( for letter C)

Mathematics
1 answer:
anygoal [31]1 year ago
6 0

Each number in the sum is even, so we can remove a factor of 2.

2 + 4 + 6 + 8 + ... + 78 + 80 = 2 (1 + 2 + 3 + 4 + ... + 39 + 40)

Use whatever technique you used in (a) and (b) to compute the sum

1 + 2 + 3 + 4 + ... + 39 + 40

With Gauss's method, for instance, we have

S = 1 + 2 + 3 + ... + 38 + 39 + 40

S = 40 + 39 + 38 + ... + 3 + 2 + 1

2S = (1 + 40) + (2 + 39) + ... + (39 + 2) + (40 + 1) = 40×41

S = 20×21 = 420

Then the sum you want is 2×420 = 840.

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Step-by-step explanation:832

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Question 1 Simplify the following expression: (5x2 + 3x + 4) − (2x2 − 6x + 3). If the final answer is written in the form Ax2 + Bx + C, what is the value of B?

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Question 2
Simplify: (3x2 − 2) + (2x2 − 6x + 3)

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Solution:

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Question 3
A sports company conducted a road test of a new model of a geared bike. The test rider cycled (3x - 2) miles on a flat road, (x2 - 5) miles uphill, and (2x + 7) miles downhill. Which simplified expression is equivalent to the total distance, in miles, for which the bike was tested?

x2 - x

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(3x - 2) + (x2 - 5) + (2x + 7) = 3x - 2 + x^2 - 5 +2x + 7 = x^2 + 5x

Question 4
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(4x − 6) − (5x + 1) = 4x - 6 - 5x - 1 = -x -7

Question 5
Simplify the following expression: (x + 6y) - (3x − 10y). If the final answer is written in the form Ax + By, what is the value of A?

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A = -2

Question 6
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6 0
3 years ago
Name the property shown.<br> 5.7 = 7.5
Ksenya-84 [330]

Answer:

Step-by-step explanation:

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8 0
2 years ago
Y+x=6<br> y=x^2-6x+6 <br> Solve the following system of equations algebraically.
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Y+x=6

y=x^2-6x+6

You would have to expand the second one.

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and you add all of the x's

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3 0
3 years ago
3 |h + 12| = 21h absolute value show full work
Murrr4er [49]

Answer:

2

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Of these, only h=2 satisfies the original equation.

5 0
1 year ago
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