IDNLearn.com connects you with a community of experts ready to answer your questions. Find the solutions you need quickly and accurately with help from our knowledgeable community.
Sagot :
ANSWER
(2, -7)
EXPLANATION
We want to find which of the ordered pairs is a solution for:
[tex]f(x)\text{ = }\frac{1}{2}x\text{ - 8}[/tex]Ordered pairs are usually given in the form (x, f(x)). That is the value of x and the value of the function of x.
We have to put each of the first values in the ordered pairs in the given function and see if it results in the second value.
=> (4, -4)
[tex]\begin{gathered} f(4)\text{ = }\frac{1}{2}(4)\text{ - 8} \\ f(4)\text{ = 2 }-8 \\ f(4)\text{ = -}6 \end{gathered}[/tex]Not a solution
=> (2, -7)
[tex]\begin{gathered} f(2)\text{ = }\frac{1}{2}(2)\text{ - 8} \\ f(2)\text{ = }1\text{ - 8} \\ f(2)\text{ = -}7 \end{gathered}[/tex]This is a solution.
=> (10, 3)
[tex]\begin{gathered} f(10)\text{ = }\frac{1}{2}(10)\text{ - 8} \\ f(10)\text{ = }5\text{ - 8} \\ f(10)\text{ = }-3 \end{gathered}[/tex]Not a solution.
=> (-6, 11)
[tex]\begin{gathered} f(-6)\text{ = }\frac{1}{2}(-6)\text{ - 8} \\ f(-6)\text{ = -3 - 8} \\ f(-6)\text{ = -11} \end{gathered}[/tex]Not a solution.
The only solution there is (2, -7)
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.