How is a table helpful when constructing equations

The line that contains the point Q( 1, -2) and is parallel to the line whose equation is

Triss [41]

Let's call this line y=mx+C, whereby 'm' will be its gradient and 'C' will be its constant.

If this line is parallel to the line you've just mentioned, it will have a gradient 2/3. We know this, because when we re-arrange the equation you've given us, we get...

$y-4=\frac { 2 }{ 3 } \left( x-3 \right) \\ \\ y-4=\frac { 2 }{ 3 } x-2\\ \\ y=\frac { 2 }{ 3 } x-2+4\\ \\ y=\frac { 2 }{ 3 } x+2$

So, at the moment, our parallel line looks like this...

y=(2/3)*x + C

However, you mentioned that this line passes through the point Q(1, -2). If this is the case, for the line (almost complete) above, when x=1, y=-2. With this information, we can figure out the constant of the line we want to find.

-2=(2/3)*(1) + C

Therefore:

C = - 2 - (2/3)

C = - 6/3 - 2/3

C = - 8/3

This means that the line you are looking for is:

y=(2/3)*x - (8/3)

Let's find out if this is truly the case with a handy graphing app... Well, it turns out that I'm correct.

3 0

3 years ago

Consider the following game. There is a bottle with 20 colored chips inside. There are 2 blue chips, 4 purple chips, 7 green chi

vekshin1

Answer: Expected value of playing the game is $0.

Step-by-step explanation:

Since we have given that

Total number of colored chips = 20

Number of blue chips = 2

Number of purple chips = 4

Number of green chips = 7

Number of red chips = 7

Amount of prize he gets for blue chip = $10

Amount of prize he gets for a purple chip = $5

No amount is given for red or green

Amount he had to pay = $2

So, Expected value of playing the game is given by

$\frac{2}{20}\times 10+\frac{4}{20}\times 5+7\times 0+7\times 0-2\\\\=1+1-2\\\\=2-2\\\\=\$0$

Hence, Expected value of playing the game is $0.

6 0

3 years ago

Read 2 more answers

Find x.<br> 14 in.<br> 48 in.<br> X =<br> in.

Bad White [126]

Answer:

x = 50 in

Step-by-step explanation:

Since it is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2

14^2 + 48^2 = x^2

196 + 2304 = x^2

2500 = x^2

Take the square root of each side

sqrt(2500) = sqrt(x^2)

50 =x

x = 50 in

4 0

3 years ago

Read 2 more answers

a farmer produced 47581 2 oranges of one kind and 651 65 oranges of another kind He mixed these oranges and packed in 296 boxes

storchak [24]

Step-by-step explanation:

I am not sure the scanning of the text went well, as this has some strange gaps in the numbers.

I understand that we have 475812 oranges of one type and 65165 oranges of another type.

we have no information, if these types of oranges have significantly different sizes or weight. so, we have to assume that they are reasonably equal to each other.

therefore, the "different type" statement is just to confuse us. the text could have also said that these were 2 different truck loads of the same type.

we only need to deal with the total number of oranges.

so,

475812 + 65165 = 540977 total oranges

he packs them into 296 boxes.

that makes

540977 / 296 = 1827.625 oranges per box.

these are many oranges for one box in real life.

and it is not a round number, which is strange for a home work or test question if this type.

if the farmer truly put only the same number of oranges in every box, he would have

540977 - 1827×296 = 540977 - 540792 = 185

oranges left over.

in any case, these are all signs that there was probably something wrong with the text. but you see the principle up there. please do the same thing with the real numbers.

6 0

3 years ago

Read 2 more answers

At the grocery store, you can purchase lemons at 2 for $0.99. you can also buy a bag of 6 lemons for $2.50. Which is the better

Digiron [165]

6 lemons is the better buy

3 0

3 years ago

Read 2 more answers