(09.06 lc) based on the graph below, what are the solutions to the equation f(x) = g(x)? (5 points) graph of function f of x equals 3 times x minus 1. graph of function g of x equals x cubed minus 3 times x squared minus 4 time x = −2.4, 1.4, 3.9 x = −2, 2, 3 x = −2.4, 0.25, 1.4 x = −2, 1, 3

The possible values of x are -2.4,1.4,3.9

Step-by-step explanation:

we are given two functions f(x) and g(x) as:

when we will plot the graph of these two functions we could clearly see that the point of intersections are the possible solutions of the equation .

the points of the intersection of this equation is x= -2.4,1.4,3.9

Hence the solutions are x= -2.4,1.4,3.9.

answer: x

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.