What is the rate of change of the function y - 6x + 3?
2 answers:
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Answer:
5x² +19x +76 +310/(x-4)
Step-by-step explanation:
The process is straightforward. Find the quotient term, multiply it by the divisor and subtract from the dividend to get the new dividend. Repeat until the dividend is a constant (lower-degree than the divisor).
The tricky part with this one is realizing that there is no x-term in the original dividend, so that term needs to be added with a 0 coefficient. The rather large remainder is also unexpected, but that's the way this problem unfolds.
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Unlike numerical long division, polynomial long division is simplified by the fact that the quotient term is the ratio of the highest-degree terms of the dividend and divisor. Here, the first quotient term is (5x^3)/(x) = 5x^2.
Answer:
The equation in the slope-intercept form is y = + -6 ⇒ C
Step-by-step explanation:
The slope-intercept form of the linear equation is
y = m x + b, where
- m is the slope of the line
- b is the y-intercept
∵ The equation is 13x - 3y = 18
→ At first move x from the left side to the right side by subtracting 13x
from both sides
∴ 13x - 13x - 3y = 18 - 13x
∴ - 3y = 18 - 13x
→ Make the coefficient of y equal 1 by dividing both sides by -3
∵
∴ y = -6 - ()
→ Remember (-)(-) = (+)
∴ y = -6 +
→ Switch the two terms of the right side
∴ y = + - 6
∴ The equation in the slope-intercept form is y = + -6