All categories

3 years ago

Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written using

Mathematics

1 answer:

Ivenika [448]3 years ago

6 0

Answer:

f(x)=-3x+4

(can't see some of your choices)

Step-by-step explanation:

We want x to be independent means we want to write it so when we plug in numbers we can just choose what we want to plug in for x but y's value will depend on our choosing of x.

So we need to solve for y.

9x+3y=12

Subtract 9x on both sides

3y=-9x+12

Divide both sides by 3:

y=-3x+4

Replace y with f(x).

f(x)=-3x+4

You might be interested in

A scale on a drawing is .5mm : 4cm. The height of drawing is 4.4 mm. What is actual height of object

ivanzaharov [21]

It would be 4.4mm/.5 mm x 4 cm = 35.2 cm

6 0

3 years ago

A piece of wire 27 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

Anna71 [15]

Answer:

Step-by-step explanation:

6 0

3 years ago

In zanders class,80% of the students are girls. There are 24 girls in the class. What is the total number of students in Zander'

lana [24]

Answer:

A. 30

Step-by-step explanation:

30*.08=24

5 0

3 years ago

Use the properties of logarithms to rewrite each expression in an equivalent form containing a single logarithm.

Shalnov [3]

Answer:

log(5/4)

Step-by-step explanation:

You have to apply the properties of logarithms to the given expression in order to obtain a form with a single logarithm.

For example, the quotient rule:

$log(\frac{x}{y}) = log(x) - log (y)$

In this case, log(x) = log (5/6 ) and log(y)= log (2/3)

Therefore x = 5/6 and y = 2/3

Applying the rule:

log (5/6 )− log (2/3) = $log(\frac{5/6}{2/3})$

Solving the argument of the logarithm (The division of the fractions)

$\frac{5/6}{2/3} = \frac{(5)(3)}{(6)(2)} =\frac{15}{12} =\frac{5}{4}$

The equivalent form is:

log(5/4)

4 0

3 years ago

Suppose you pay $29.25 for a pair of shoes that has been discounted 35%. What is the original price of the shoes? Show how you i

Temka [501]

The answer is $30.

We know discounted price of the shoes - $24.
We need to find out the original price of the shoes - x.

The discounted price is 80% of the original price (it is said that <span>shoes have been discounted 20%, so 100-20= 80%).

Let's set up a proportion. If $24 is 80%, how much is 100% (the original price):
$24 : 80% = x : 100 %

After crossing the products:
x = $24 * 100% / 80% = $30

Let's just check the result. After the discount of 20%, shoes will cost:
$30 - 20% = $30 - $30*(20/100) = $30 - $6 = $24.

</span><span>The original price of the shoes is $30.</span>

5 0

3 years ago