Explain why it makes sense for this situation to have a linear equation
1 answer:
Answer:
The line of best fit for your specific question is a linear equation.
Step-by-step explanation:
A linear equation has a constant rate of growth/decline and the growth/decline rate will never change in an linear equation.
If you draw a line that approximately splits between all the data plots, you will notice the line you drew is very close to the data points.
If the data plots was a quadratic, it would be very hard to draw a line of best fit.
Linear equations can easily be identified in a graph because it is a straight line.
Perhaps insert this equation into your graphing calculator or other graphing software online (like Desmos): y = 3x+2
A quadratic equation can also easily be identified in a graph because, in most cases, it looks like a U.
Take these examples: y = or y=
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Answer:
The factorized form of the given expression is
Step-by-step explanation:
Given;
4a² + b² - 4ab - 8a + 4b + 4
This expression is factorized as follows;
(4a² - 8a + 4) + (b² - 4ab + 4b)
(4a² - 4a - 4a + 4) + b² - 4b(a - 1)
(4a - 4)(a - 1) + b² - 4b(a - 1)
(4a - 4)(a - 1) - 4b(a - 1) + b²
4(a - 1)(a - 1) - 4b(a - 1) + b²
4(a - 1)² - 4b(a - 1 + b/4)