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expeople1 [14]
2 years ago
13

What is the equation of the lime that passes through the point (1,3) and has a slope of 6

Mathematics
2 answers:
Ilya [14]2 years ago
7 0

Answer:

y = 6x+ 3.

Step-by-step explanation:

y - y1 = m(x - x1)

sub.

distribute.

bring down and solve.

Paraphin [41]2 years ago
4 0

Answer: y=6x-3

Step-by-step explanation: First of all, you know the x value is 1, the y value is 3, and the slope of the line is 6x. So you can set up a temporary equation. That equation is y=6x+b. Plug in the known value to get 3=6(1)+b. After multiplying, you get 3=6+b. Subtract 6 from both sides and you get -3=b. Now that b is known to be -3, we can write the equation in standard form. That equation is y=6x-3.

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Heres the answer l.m.a.o
torisob [31]

Answer:

That's a solid answer there.

Step-by-step explanation:

LOL

4 0
2 years ago
Read 2 more answers
Consider the following game, played with three standard six-sided dice. If the player ends with all three dice showing the same
ddd [48]

Answer:

a

 P(A) =  \frac{1}{36}

b

P(B) = \frac{15}{36}

c

P(U) = \frac{11}{36}

Step-by-step explanation:

From the question we are told that

   The  number of dice is  n  =  3

Generally  for all three dice to show the same number the second and the third dice must have the same outcome  as the outcome of the first dice.

This means that the number of outcome the first die can  have is  6  (6 sides), the number of outcome which the second and the third dice can have is  1 (they must match the first )

So the probability that all three dice show the same number on the first roll is mathematically represented as

      P(A) =  \frac{6}{6} * \frac{1}{6} *  \frac{1}{6}

=>   P(A) =  \frac{1}{36}

Generally for two of the three dice show the same number after the first roll then the number of outcome for  one of the  dice would be is  6 , the number of outcome for another one must be   1(i.e it must match the first ) , the number of outcome for the remaining one must be   5 (i.e it can show any of the remaining  5  sides which the first and second dice are not showing )

Now the number of ways of selecting this 2 dice that show the same number from the 3 dice is mathematically represented as

     N  =  ^3C_2

Here C stands for combination

So

      N  =  ^3C_2  = 6

So the probability that exactly two of the three dice show the same number after the first roll is mathematically represented as  

      P(B) = N   \frac{1}{6} *  \frac{5}{6}

=>  P(B) = \frac{15}{36}

Generally from the question we are told that if two dice match, the player re-rolls the die that does not match.

Now the probability that  the die that did not match the first  time will match the second time is

     P(E ) =  \frac{1}{6}

Generally if that one die does not show the same number in the second round , the probability that it will match  in the third round is

    P(R) =  \frac{5}{6} *  \frac{1}{6}

Generally the probability that he wins (i.e when all three are showing the same number ) and  exactly two is showing the same number is mathematically represented as

       P(K) =  P(E)* P(B) + P(R)* P(B)

=>    P(K) =  \frac{1}{6} * \frac{15}{36}  +  \frac{5}{6} *  \frac{1}{6} * \frac{15}{36}

=>  P(K)= \frac{165}{1296}

So the probability that the player wins, conditioned on exactly two of the three dice showing the same number after the first roll is mathematically represented as  

    P(U) =  \frac{\frac{165}{1296}}{\frac{15}{36} }

=>  P(U) = \frac{11}{36}

     

 

6 0
3 years ago
Use the table below to answer this question:
ch4aika [34]

Answer:

Step-by-step explanation:

Th average rate of change is the slope of the secant line that goes through those 2 values of x.  Of course, each value of x also has a value of y.  The coordinates for these combinations of x's and y's are:

(-1, 5) and (4, 0).  We can use the slope formula to find the average rate of change of this function without having to know what the function's equation is:

m=\frac{0-5}{4-(-1)}=\frac{-5}{5}=-1

So the average rate of change, aka slope, between those 2 points is -1

7 0
2 years ago
The given right rectangular prism is composed of small cubes. Find the following is the volume of the prism and the volume of on
valina [46]

Answer:

The big prism= \frac{25}{18} feet squared

Each individual cube= 216 inches squared

Step-by-step explanation:

The big prism LxWxH

The individual cube = 1 foot/6 (amount of edges made of small cubes) = 2 inches.

IDK how to convert from inches to feet though cause I ain't American. Sorry.

Hope that helped!!! k

5 0
3 years ago
An art gallery wants to display 4 pieces of art in the front window. If there are 8 pieces to choose from, how many distinct dis
Viktor [21]

Answer:

D-70

Step-by-step explanation:

It is a combination C(8,4)

5 0
2 years ago
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