Answered

IDNLearn.com is your go-to platform for finding reliable answers quickly. Join our interactive community and get comprehensive, reliable answers to all your questions.

If [tex]\phi[/tex] is defined such that [tex]p \phi q = 3p - q[/tex], which of the following is equivalent to [tex]1 \phi (-2)[/tex]?

A) -7
B) 1
C) 5
D) 7

Sagot :

GinnyAnsweridn
To solve for [tex]\(1 \phi (-2)\)[/tex] using the given operator definition, follow these steps:

1. Identify the values of [tex]\(p\)[/tex] and [tex]\(q\)[/tex]. Here, [tex]\(p = 1\)[/tex] and [tex]\(q = -2\)[/tex].
2. Substitute these values into the expression [tex]\(p \phi q = 3p - q\)[/tex].

Now, apply the definition of the operator [tex]\(\phi\)[/tex]:

[tex]\[ 1 \phi (-2) = 3(1) - (-2) \][/tex]

Simplify the expression inside the parentheses:

[tex]\[ 1 \phi (-2) = 3 \times 1 + 2 \][/tex]

Continue simplifying:

[tex]\[ 1 \phi (-2) = 3 + 2 \][/tex]

Thus, we get:

[tex]\[ 1 \phi (-2) = 5 \][/tex]

Therefore, the correct answer is:

C) 5
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.