What are the factors of x2 – 4x – 5? Check all that apply. x – 5 x – 2 x – 1 x + 1 x + 2 x + 5
2 answers:
1. 
is a 2nd degree polynomial, so if it can be factorize, it can be factorized into two 1st degree polynomials:
2. consider the factorized expression. If we factorized back we would get:
3. So
comparing the coefficients, we see that
a+b=4 and ab=-5.
From ab=-5, a is either 5 (b=-1) or a is -5 (b=1). Together with the condition a+b=4, we see that the right choice is a=5 and b=-1
4. so
5. The factors are x-5 and x+1
2. consider the factorized expression. If we factorized back we would get:
3. So
comparing the coefficients, we see that
a+b=4 and ab=-5.
From ab=-5, a is either 5 (b=-1) or a is -5 (b=1). Together with the condition a+b=4, we see that the right choice is a=5 and b=-1
4. so
5. The factors are x-5 and x+1
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Answer:
The feasible region is unbounded which is the shaded portion in the graph.
Step-by-step explanation:
Given that, the number of hours Jessie works as a teacher and tutor is y and x respectively, which can't be negative.
So,
y\ge0\;\cdots(ii)
She works at least 36 hours a week.
She works as a teacher for al least twice the number of hours she works as a tutor.
The boundary of the inequalities from equations (i), (ii), (iii), and (iv) are
and
.
The feasible region is the shaded portion which is the unbounded region as shown in the graph. Any point P(x,y) from the feasible region will satisfies all the constraints.
