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Alexus [3.1K]
3 years ago
8

Use the slope intercept form to write the equation of the line passing through the given point with the given slope (0, -3/4) m=

-1/2
Mathematics
1 answer:
Paladinen [302]3 years ago
5 0

Hello!

The slope-intercept form is: y = mx + b. In this form, m is the slope and b is the y-intercept.

Since we are given the slope, which is -1/2, and the y-intercept which is (0, -3/4). This means that the value of b is -3/4.

So therefore, the equation of the function is: y = -1/2x + -3/4.

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The second term of the expansion is -4a^3b.

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$(a-b)^4=\sum_{i=0}^{4}\left(\begin{array}{l}4 \\i\end{array}\right) a^{(4-i)}(-b)^{i}

=\frac{4 !}{0 !(4-0) !} a^{4}(-b)^{0}+\frac{4 !}{1 !(4-1) !} a^{3}(-b)^{1}+\frac{4 !}{2 !(4-2) !} a^{2}(-b)^{2}+\frac{4 !}{3 !(4-3) !} a^{1}(-b)^{3}+\frac{4 !}{4 !(4-4) !} a^{0}(-b)^{4}=a^{4}-4 a^{3} b+6 a^{2} b^{2}-4 a b^{3}+b^{4}

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