The graphs of f(x)=2x+4 and g(x)=10−4x intersect at (1, 6) . What is the solution of the equation 2x+4=10−4x ?
1 answer:
You might be interested in
Answer: the inequality that matches de graph is x ≤ 5.
Explanation:
1) The vertical line through the point (5,0) is represented by x = 5.
2) The area to the left of the vertical line x = 5 contents all the points whose x-coordinate is less than five.
Please, find attached the figure with the graph described in the question.
3) A solid line is used to indicate that the points on the line are included in the solution region (a dashed line is used to indicate that the points on the line are excluded)
Therefore, the graph includes the points on the line x = 5 and the points with x-coordinate less than 5.
4) Hence, you have to use an inequality with the symbol ≤, which means less than or equal to.
x ≤ 5 means less than or equal to 5, which is the inequality searched.
Answer:
The binomial: (x-2) (second option of the list) is a factor of the given trinomial
Step-by-step explanation:
You are looking for two binomial factors of the form; (x+a) and (x+b), with values "a" and "b" such that:
Their product "a times b" results in: "+14" (the numerical term in the initial trinomial ,
and their combining "a+b" results in "-9" (the coefficient in the middle term of the trinomial)
Such number "a" and "b" are: "-2" and "-7".
We can see by multiplying the binomials formed with these numbers:
(x-2) and (x-7) that their product indeed renders the original trinomial:
therefore, the binomials (x-2) and (x-7) are factors of the given trinomial.
The only one shown among the four possible options is then: (x-2)