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3 years ago

I need help finding the y-intercept of these, I am no good with slope and tables. ;-;

Mathematics

1 answer:

zubka84 [21]3 years ago

8 0

Answer:

1. -4

2. 6

3. -6

(i hope this is right •_•)

Step-by-step explanation:

First table

When the x coordinate is 0, that point is your y intercept. For the first one, your y intercept is -4.

Second table

For the second one, we need to do a bit of counting. We can see the x coordinates go before and after zero, but the table does not show us 0. So, we're going to have to calculate the slope. Bear with me here, I'm a little tired and this might be rambling ;-;

So, the formula for calculating slope is $\frac{y_{2} -y_{1}}{x_{2}-x_{1}}$ . I'm going to use those first two points to get my slope. We're going to say the first point is point 1 and the second point is point 2 (genius, i know lol). So, let's substitute in the x and y values.

$\frac{9-12}{-3-(-6)}$

And simplify...

$\frac{-3}{3}$

So, your slope is -1. We can use that. We just have to count down.

If the x is -2, the y is 8. If the x is -1, the y is 7. And if the x is 0....(drumroll please) the y is 6! So, your y intercept is 6.

Third table

Now, this table isn't very nice either and doesn't have an x as 0 for us. Hmpf. But we can still do what we did above. I'll just skip the explanation and you can observe my steps.

$\frac{-3-(-5)}{9-3}$

$\frac{2}{6}$

$\frac{1}{3}$

Let's count down....

If x = 3, y = -5

If x = 2, y = -5 1/3

If x = 1, y = -5 2/3

If x = 0, y = -6

You might be interested in

A square patio has an area of 200 square feet. How long is each side of the patio to the nearest tenth?

Darya [45]

If patio is square it means that area of if is $A=a^2$ where a is one side
Now we can substitute A=200 and solve eq
$a^2=200$
a= $\sqrt{200}$
a=14.1421
Now we are rounding to the nearest tenths
a=14.1 because next number is 4 and is less then 5.
The result is 14.1

6 0

3 years ago

In a factory, 3.25% of the jars of peanut butter produced contains less peanut butter than is advertised on the label. The facto

marshall27 [118]

Answer:

936 jars of peanut butter contain less peanut butter than usual.

Step-by-step explanation:

1. First, we need to find how many jars of peanut butter that contain less peanut butter than advertised are produced every hour.

The factory produces 1200 jars of peanut butter every hour

3.25% of those jars have less peanut butter than advertised

So: multiply $(1200*.0325)$ (the decimal form of the percent) to find the amount of peanut butter jars that contain less peanut butter than advertised.

$(1200*.0325) = 39$

So the factory produces 39 jars of peanut butter that contain less peanut butter than advertised.

2. Second, we need to find how many jars of peanut butter that contain less peanut butter than advertised in three 8 hour work days.

Lets add these work days together to find the total amount of hours: $(8 + 8 + 8) = 24$

So: three 8 hour work days totals to 24 hours

Since the factory produces 39 jars of peanut butter that contain less peanut butter than advertised per hour. Multiply $(24 * 39)$ to find the total amount of jars produced in three 8 hour work days.

$(24 *39) = 936$

A total of 936 peanut butter jars are produced in three 8 hour work days that contain less peanut butter than advertised.

3. If you want to double check your work do the following.

Since the factory produces 1200 jars an hour and 24 hours total three 8 hour work days. Multiply $(1200*24) = 28800$

So there is a total of 28800 jars produced in three 8 hour work days.

Then you can multiply 28800 by 3.25% of jars that contain less peanut butter to find the total amount of peanut butter jars that contain less peanut butter in three 8 hour work days.

$(28800 * .0325) = 936$