The point (–7, –3) is located in which quadrant?

f(x) = x2. What is g(x)?SIf(x)= x/g(x)(2,1)-5O A.06)-()O B. g(x) = 2x2O C. g(x)-9(x)=(*)O D. g(x)= x2

Andrew [12]

Explanation

As you can see all the possible answers have the same form:

$g(x)=ax^2$

By looking at the picture you'll notice that the graph of g(x) has to pass through the point (2,1). Remember that the points in the graph of g(x) have the form (x,g(x)). Since (2,1) is part of the graph of g(x) then we have the following:

$\begin{gathered} (2,1)=(x,g(x)) \\ x=2 \\ g(2)=1 \end{gathered}$

So let's evaluate the expression for g(x) that we wrote before at x=2. This way we'll obtain an equation for the number a:

$\begin{gathered} g(2)=1=a\cdot2^2 \\ 1=4a \end{gathered}$

Then we can divide both sides by 4:

$\begin{gathered} \frac{1}{4}=\frac{4a}{4} \\ a=\frac{1}{4} \end{gathered}$

Then we get:

$g(x)=\frac{1}{4}x^2=(\frac{1}{2}x)^2$ Answer

Then the answer is option A.

3 0

1 year ago

Employees at Counting Sheep Mattress Company earn 40% commissions on each mattress they sell. Jason sold a mattress for $1,149.

vampirchik [111]

Answer:

Commission earned = $459.6

Step-by-step explanation:

40% of 1149 = 0.4 x 1149 = $459.6

8 0

3 years ago

Read 2 more answers

How to solve this problem

Murrr4er [49]

$\frac{4}{6} = \frac{12}{18}$
$\frac{2}{9} =\frac{4}{18}$

$\frac{12}{18}-\frac{4}{18} = \frac{12-4}{18} = \frac{8}{18}$

$\frac{8}{18} = \frac{4}{9} = \frac{16}{36}=\frac{24}{54}$