The equation 13x + 1 = 5 – x can be solved by graphing y = 13x + 1 and y = 5 – x.
1 answer:
Answer:
The graph shows that when x =3 both
and 5 – x equal 2
Step-by-step explanation:
The equation 13x + 1 = 5 – x can be solved by graphing y = 13x + 1 and y = 5 – x.
From the graph, the two lines representing the two equations intersect at (3,2).
This implies that the solution to the system
and
y=5-x
is x=3, y=2
Hence the value of the two functions equals 2 at x=3.
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Answer:
Yes, this equation has a solution. According to Intermediate Value Theorem at least one solution for [0,2]
Step-by-step explanation:
Hi there!
1) Remember a definition.
Intermediate Value Theorem:
If is continuous on a given closed interval [a,b], and f(a)≠f(b) and f(a)<k<f(b) then there has to be at least one number 'c' between 'a' and 'b', such that f(c)=k
----
(Check the first graph as an example)
2) The Intermediate Value Theorem can be applied to determine whether there is a solution on a given interval.
Let's choose the interval
Proceed to the other point: 2
3) Check the 2nd Graph for a the Visual answer, of it. And the 3rd graph for all solutions of this equation.
