When we factorise an expression, we are looking for simple factors that multiply to get the original expression. Usually it is very natural to factorise something like a quadratic in x. For example:
x^2 + 3x + 2 = (x+1)(x+2)
But there are other situations where factorisation can be applied. Take this quadratic:
x^2 - 9x = x(x-9)
This second example is closer to the question in hand. Just like x was a common factor to both x^2 and -9x, we are looking for a common factor to both 6b and 24bc. The common factor is 6b.
Hence 6b + 24bc = 6b(1 + 4c).
I hope this helps you :)
Answer:
Step-by-step explanation:
Note that:
Two angles are Complementary when they add up to 90 degrees
Two angles are supplementary when they add up to 180 degrees
Let the angle = x
If the complement of an angle is equal to the supplement of four times the angle, then find the measure of the angle.
90 - x = 180 - 4x
NO is 2 times LM
2(x+1) = 4x
2x + 2 = 4x
2 = 2x
1 = x
Plug that in for 4x
4(1)
4
Answer:
Step-by-step explanation:
4x-13
Look in the table at the column that has 1 minute and 4.25 pages. Printer A prints 4.25 pages in 1 minute which is a rate of 4.25 pages per minute. The rate of printing is the slope in the equation. A rate of 4.25 pages per minute is represented by the equation y = 4.25x, where 4.25 ids the slope of the equation.
We are told that Printer A prints faster than Printer B, so Printer B must have a lower rate of printing than Printer A. The equation for Printer B must have a slope less than 4.25.
There are two choices which have a slope less than than 4.25.
Answer: y = 4.2x; y = 4x