If f(x)= x^2+2x-6 and g(x) =3x^2-5x-7, find f(x)-g(x)

- 2x² + 7x + 1

Step-by-step explanation:

f(x) - g(x)

= x² + 2x - 6  - (3x² - 5x - 7) ← distribute parenthesis by - 1

= x² +2x - 6 - 3x² + 5x + 7 ← collect like terms

= - 2x² + 7x + 1

∠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.

answer: no

step-by-step explanation:

you are only given the cost not the amount of pounds.