Answer:
4P4 means the number of ways (permutations) of arranging 4 items from a collection of 4 items.
Step-by-step explanation:
Answer:
5(5x+3)
Step-by-step explanation:
25x=5*5x
15=5*3
5*5x+5*3
Factor out the Common 5
5(5x+3)
we are given in the problem the number of hours Peter has played for video games. In this case, f(x) is the number of hours of playing with x as the number of weeks of playing. In this case, the equation f(x) = 5x.
Answer:
What goes in the blank is 2
Step-by-step explanation:
In this question, we want to know what goes into the bracket when factorizing the expression above.
What we have a problem with is the terms x^2 - 4x + 4
We can rewrite this as;
x^2 -2x - 2x + 4
x(x-2) -2(x - 2)
That would thus be (x-2)^2
What goes into the bracket is thus the number 2
Answer:
D
Step-by-step explanation:
For simplify the work we can start to factorise all the possibles expressions:
2x + 8.
8 is multiple of 2, so it can became
2(x+4)
x^2 - 16 this is a difference of two squares, so it can be rewritten as:
(x+4)(x-4)
x^2 + 8x + 16
we have to find two numbers whose sum is 8 and whose product is 16
the two number are 4 and 4
it becames:
(x+4)(x+4)
x+ 4 can‘t be simplified
if we look at the expression, we can find that x-4 appears at the numerator so
x^2 - 16 must be at numerator
but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option
in fact
(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)
it became
(x+4)(x-4)/2 * 1/(x+4)(x+4)
(x-4)/2(x+4)