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3 years ago

How to describe graphs in slope?

Mathematics

1 answer:

lana [24]3 years ago

8 0

these are three ways to describe graphs in slope

Step-by-step explanation:

(1) Verbally slope indicates the steepness of a line (the sign indicates direction and the absolute value describes the steepness -- the larger the absolute value the steeper the graph.) This is related to the grade of a hill or the pitch of a roof.

(2) Algebraically slope is typically represented by m: for instance the equation of a line can be written as y=mx+b where m represents the slope. Also the slope formula where m=(y_2-y_1)/(x_2-x_1) . However, some linear functions use other letters for the value that is the slope of the graph such as a direct variation y=kx where k is the constant of proportionality.

(3) Graphically slope is often represented as rise over run, or (Delta y)/(Delta x) , or the ratio of the change in the vertical direction to the change of the horizontal.

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f = 5g/n^3 - 5h/n63

Step-by-step explanation:

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What is the constant proportionality of y=32x-4

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Jenna picked a pumpkin at the pumpkin patch that weighed 8 and 1 half pounds, Her little sister, sandy, picked a pumpkin that we

slega [8]

Answer:

4 pounds and 1/4 ounces

Step-by-step explanation:

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2 years ago

3a + 4b = 2 <br> 5a + 9b =1

USPshnik [31]

Solve the following system using elimination:
{3 a + 4 b = 2 | (equation 1)
{5 a + 9 b = 1 | (equation 2)

Swap equation 1 with equation 2:
{5 a + 9 b = 1 | (equation 1)
{3 a + 4 b = 2 | (equation 2)

Subtract 3/5 × (equation 1) from equation 2:
{5 a + 9 b = 1 | (equation 1)
{0 a - (7 b)/5 = 7/5 | (equation 2)

Multiply equation 2 by 5/7:
{5 a + 9 b = 1 | (equation 1)
{0 a - b = 1 | (equation 2)

Multiply equation 2 by -1:
{5 a + 9 b = 1 | (equation 1)
{0 a+b = -1 | (equation 2)

Subtract 9 × (equation 2) from equation 1:
{5 a+0 b = 10 | (equation 1)
{0 a+b = -1 | (equation 2)

Divide equation 1 by 5:
{a+0 b = 2 | (equation 1)
{0 a+b = -1 | (equation 2)

Collect results:
Answer: {a = 2
{b = -1

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3 years ago

The sales department at a certain company consists of fourpeople, the manufacturing department consists of seven people, and t

netineya [11]

Answer:

$P=\frac{40}{560}=0.0714$

Step-by-step explanation:

Notation

$n_{sales}=4, n_{manufacturing}=7, n_{accounting}=5$

Total = n= 4+7+5=16 people

We are going to select 3 people and will be given gift certificates to a local restaurant so then r =3.

Determine the probability that two of those selected will be from the accounting department and one will be from the sales department.

For this case we can use combinatory nCx, since the selection is without replacment.

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

So then the definition of probability is given by :

$P=\frac{Possible outcomes}{Total outcomes}$

Let's begin with the total outcomes, we have a total of n=16 people and we wan't to select 3 of them, so the possible outcomes are:

$16C3= \frac{16!}{(16-3)! 3!}=560$

And now let's analyze the possible outcomes, we need that the group of 3 would be conformed by two people from the accounting department and one from the sales deparment. So then the possible outcomes are:

$(5C2)*(4C1)= \frac{5!}{(5-2)! 2!} \frac{4!}{(4-1)! 1!}=10*4=40$

And the reason is because we have a total of 5 people at the accounting and we want to select 2. And we have a total of 4 people at the sales department and we want to select just 1. And the multiplication it's because the order on the selection no matter (we assume this).

So then replacing into our formula of probability we got:

$P=\frac{40}{560}=0.0714$

3 0

3 years ago