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2 years ago

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

Mathematics

1 answer:

Elena-2011 [213]2 years ago

8 0

Answer: f(x) = -3x + 4

Step-by-step explanation:

The function is represented by

9x + 3y= 12

This is a linear equation with x as the independent variable. This means that if x is the independent variable, the y is the dependent variable. The values of y depends on the values of x. In order to represent the function, 9x + 3y= 12, we would rearrange the function such that y stands alone on the left hand side of the equation. This becomes

9x + 3y= 12

Subtracting 9x from both sides,

9x -9x + 3y = 12 - 9x

3y = 12-9x

Dividing the lefthand side and right hand side of the equation by 3, it becomes

3y/3 = (12-9x)/3

y= -3x + 4

using function notation,

y = f(x) = -3x + 4

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a driver is below the surface of the water at - 15m. he dives down by 6m, then rises 4m where is he now

nevsk [136]

Given:

A driver is below the surface of the water at - 15m. he dives down by 6m, then rises 4m.

To find:

The current location of the driver.

Solution:

In this problem, negative sign is used for downward direction or the distance below the surface of the water.

Initial location = -15 m

Dives down by 6m, it means - 6m, then rises 4m, it means 4 m.

Now, the current location is

$-15 m-6m+4m$

$=-21m+4m$

$=-17m$

Therefore, the correct location of the driver is at -17 m it means her is 17 m below the surface of the water.

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2 years ago

A county has constructed a conical building to store sand. The cone has a height of 101 m and a diameter of 330 m. Find the volu

klio [65]

Answer:

2878045.500 cubed metres

Step-by-step explanation:

volume = 1/3* pie* r*r*h

= 1/3 *3.14*165*165*101

=2878045.5 cubed metres

i hope it's helpful

6 0

2 years ago

Can you create a pattern with the rule n*2+1

Citrus2011 [14]

3, 5, 7, 9, 11, etc.

4 0

3 years ago

Which of the following transformations does not

svlad2 [7]

Answer:

(9x, 9y) dilation

Step-by-step explanation:

(9, 9y) is the answer because F is 180 degrees rotations, G is not real, H is translations, and J is dilations and dilations is multiplying which makes the transformation non congruent.

Your welcome

7 0

3 years ago

Can somewon help me plz can somewon help me

Karolina [17]

Hey there! I'm happy to help!

Let's look at our diameters.

$1*10^2^1\\5*10^2^2$

We want to see how many times greater the diameter of the IC 1101 is than the Milky Way. So, we will divide it's diameter by the diameter of the Milky Way.

$\frac{5*10^2^2}{1*10^2^1} \\$

We divide the numbers without exponents, giving us 5. Then, we divide the 10s with exponents. When dividing exponents, you subtract the numbers in the exponent to get your result. For example, x³÷x²=x

$\frac{5*10^2^2}{1*10^2^1} = 5*10=50$

Therefore, your answer is 50.

Have a wonderful day! :D

3 0

3 years ago

Read 2 more answers