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otez555 [7]
3 years ago
12

Use these functions to answer this question.

Mathematics
1 answer:
Dmitry [639]3 years ago
4 0

Given:

The two functions are:

P(x)=x^2-x-6

Q(x)=x-3

To find:

The function P(x)-Q(x).

Solution:

We need to find the function P(x)-Q(x).

P(x)-Q(x)=(x^2-x-6)-(x-3)

P(x)-Q(x)=x^2-x-6-x+3

P(x)-Q(x)=x^2+(-x-x)+(-6+3)

P(x)-Q(x)=x^2-2x-3

Therefore, the correct option is C.

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Find a_1 and d for an arithmetic sequence with these terms. a_4=9and a_7=18
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\bf \begin{array}{llll}
term&value\\
-----&-----\\
a_4&9\\
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&9+2d\\
a_7&(9+2d)+d\\
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\end{array}\\\\
-------------------------------\\\\
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\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
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\end{cases}
\\\\\\
a_7=a_1+(7-1)d\implies 18=a_1+(7-1)3\implies 18=a_1+18
\\\\\\
18-18=a_1\implies \boxed{0=a_1}
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