What is the slope of the line given by the equation y = -3x?

Mathematics

2 answers:

Ratling [72]3 years ago

8 0

Answer:

The correct option is B.

Step-by-step explanation:

The given equation is

$y=-3x$ .... (1)

The slope intercept form of a line is

$y=mx+b$ .... (2)

Where, m is slope and b is y-intercept.

From (1) and (2), we get

$m=-3,b=0$

The slope of the line is -3.

Therefore the correct option is B.

s2008m [1.1K]3 years ago

7 0

The answer to this question would be B, -3. The reason for this is because when you have an equation in slope intercept form, it would be y = mx + b. In this case your b is equal to 0 so you have only y = mx. The variable m represents the slope, which is in this case, equal to -3. Hope this helps. Please rate, leave a thanks, and mark a brainiest answer. (Not necessarily mine). Thanks, it really helps! :D

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marishachu [46]

Answer:

a) 286

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c) 285

Step-by-step explanation:

a) Since order is not important, the total possible number of ways to choose 10 players out of 13 is the following combination:

$C(13,10)=\frac{13!}{(13-10)!10! } \\C(13,10)=\frac{13*12*11*10!}{(3*2*1)10! }\\C(13,10) = 286$

b) The total number of possibilities to assign positions by the selecting 10 players is the permutation of 13 players for 10 positions:

$P(13,10) = \frac{13!}{(13-10)!}\\P(13,10) = 13*12*11*10*9*8*7*6*5*4\\P(13,10) =1,037,836,800$

c) The number of ways to pick 10 players including at least one woman is equal to the total number of ways to pick 10 players (found in item a) minus the the number of ways to pick 10 players without picking a single woman.

Since there 10 male players for 10 positions, there is only one possible way to pick a team without women, therefore:

$P=286-1 =285$