Algebra 2, Plz Help!!!
1 answer:
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13,207,982,634 x⁵y⁶
Step-by-step explanation:
We understand that in Binomial Theorem, expounding of polynomial functions, we have a rule that also involves the use of Pascal's Triangle to find the Coefficients that will be used to multiply each variable as the polynomial function is multiplied by itself several times;
(3x + 7y)^11 = ₁₁C₀ (3x)¹¹(7y)⁰ + ₁₁C₁ (3x)¹⁰(7y)¹ + ₁₁C₂ (3x)⁹(7y)² + ₁₁C₃ (3x)⁸(7y)³ + ₁₁C₄ (3x)⁷(7y)⁴ + ₁₁C₅ (3x)⁶(7y)⁵ + ₁₁C₆ (3x)⁵(7y)⁶....
The 7th term in our case is;
₁₁C₆ (3x)⁵(7y)⁶
According to the attached Pascals Triangle, the coefficient for our term should be 462, so;
462 (3x)⁵(7y)⁶
= 462 (243x⁵) (117,649y⁶)
= 13,207,982,634 x⁵y⁶
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Answer:
Step-by-step explanation:
First of all, I drawed this graph and uploaded it for you...
We know that a line equation is y = ax + b and I want to know which equation goes through the points (-1, -5) and (1, -1).
Let's put these points in the algebreac expression of line to find the correct equation:
-5 = a. (-1) + b
-1 = a.(1) + b
solving this system of equation by elimination, we find 2b = -6 and b = -3.
Then, -5 = -a + (-3)
-a = -5 + 3
a = 2
Finally, our line equation is y = 2x - 3
The slope also is represented by a. So, the slope is 2.
