Answer:
2(4x + 1)(x + 1)
Step-by-step explanation:
Given
8x² + 10x + 2 ← factor out 2 from each term
= 2(4x² + 5x + 1)
To factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × 1 = 4 and sum = + 5
The factors are + 1 and + 4
Use these factors to split the x - term
4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )
= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)
= (4x + 1)(x + 1), thus
4x² + 5x + 1 = (4x + 1)(x + 1) and
8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form
Answer:
x=\frac{6-y-z}{3}
Step-by-step explanation:
I think the correct answer from the choices listed above is option C. <span>The graph of a system of equations with the same slope and the same y-intercepts will never have no solutions. Rather, it has an infinite number of solutions since all points of the lines intersects.</span>
Answer:
Step-by-step explanation:
From the graph, the x-intercepts are;
These are root of the polynomial function represented by the given graph.
By the remainder theorem;
According to the factor theorem, if 
is a factor of 
, then 
This implies that;
are factors of the required function.
Hence; 
We expand using difference of two squares to obtain;
We expand using the distributive property to get;
Rewrite in standard form to obtain;
Answer:
40 + 2r
Step-by-step explanation:
Well an hour has 60 minutes.
So 60 x 1/30 = 60/30 = 2 minutes for each person that didn't get into the job
60 x 1/3 = 60/3 = 20 minutes for the people that made it into the job.
20 x 2 = 40 minutes in total for the people that made it into the job.
We don't know how much people got rejected so:
The answer is
40 + 2r
