Step-by-step explanation:
Use the slope-intercept form to find the slope and y-intercept.
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Slope: −2-2
y-intercept: 11
Any line can be graphed using two points. Select two xx values, and plug them into the equation to find the corresponding yy values.
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xy011−1xy011-1
Graph the line using the slope and the y-intercept, or the points.
Slope: −2-2
y-intercept: 11
xy011−1xy011-1

Summation of 3n + 2 from n = 1 to n = 14 = (3(1) + 2) + (3(2) + 2) + (3(3) + 2) + . . . + (3(14) + 2) = 5 + 8 + 11 + ... + 44 ia an arithmetic progression with first term (a) = 5, common difference (d) = 3 and last term (l) = 44 and n = 14
Sn = n/2(a + l) = 14/2(5 + 44) = 7(49) = 343
Therefore, the required summation is 343.
After the first cut: 3
after the 2nd cut: 9 or 3²
after the 3rd cut: 27 or 3³
after the 4th cut: 81 or 3⁴
after the 7th cut: 3⁷ = 2187 small pieces of paper
Answer:
4 pieces
Step-by-step explanation:
To perform the calculation, it's easier for both values to have the same denominator.
2/3 yards is the same as 4/6 yards.
Now we have two values with the same denominator: 4/6 and 1/6.
(4/6) / (1/6) = 4.
Fill in the point values in the formula for the derivative.
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<u>Example</u>
y = x^2 + 3x . . . . . we want y' at (x, y) = (1, 4)
y' = 2x +3 . . . . . . . take the derivative dy/dx of the function
Fill in the value x=1 ...
y' = 2·1 +3 = 5
The value of the derivative at (x, y) = (1, 4) is 5.