3 years ago

Please help me on these ones lol

1 answer:

5 0

3)
f(x) =(x+1)/4
so
f(6a) = (6a+1) / 4
f(6a) =3/2(a) + 1/4

8)
f(x) =(x+1)/4 = 0
x + 1 =0
x = -1

answer
x = -1 makes f(x) = 0

9)
(x+1)/4 >= 10
x + 1 >= 40
x >= 39

Answer
Domain is any number greater or equal 39 (x >= 39)

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In a certain function, y varies directly with x. If y = 6 when x = 8, find x when y = 9.

Hatshy [7]

If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12

<u>Solution:</u>

Given that , In a certain function, y varies directly with x

And x = 8 when y = 6,

We have to find what will be the value of x when y = 9

Now, from the given information,

$\begin{array}{l}{y \alpha x} \\\\ {y=c x \rightarrow(1)}\end{array}$

where c is the proportionality constant

$\begin{array}{l}{\text { Now, substitute } x=8 \text { and } y=6 \text { in }(1)} \\\\ {\rightarrow 8=c(6) \rightarrow c=\frac{8}{6}} \\\\ {\rightarrow c=\frac{4}{3}} \\\\ {\text { Then, }(1) \rightarrow x=\frac{4}{3} y} \\\\ {\text { So, when } y=9} \\\\ {\rightarrow x=\frac{4}{3}(9)} \\\\ {\rightarrow x=4 \times 3} \\\\ {\rightarrow x=12}\end{array}$