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Oksanka [162]
3 years ago
11

A student writes the equation for a line that has a slope of -6 and passes through the point (2, –8).y -(-8) = -6(x - 2)y -(-8)

= -6x + 12y -(-8) + 8 = -6x + 12 + 8y = -6x + 20. Explain why the work is not correct.
Mathematics
2 answers:
mixas84 [53]3 years ago
8 0
Alright so the answer is 8/-67+56+90= 300 so that’s why it is incorrect
I am Lyosha [343]3 years ago
6 0

Answer:

The student should have simplified the equation to have y + 8 on the left.

Then, the student should have subtracted 8 from both sides of the equation.

The value of b should be 4, not 20.

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In a small chess tournament, 20 matches were played. Find out how many people were involved if it is known that each participant
Nina [5.8K]

Answer:

<em>5</em><em> players participated in the tournament.</em>

Step-by-step explanation:

In a small chess tournament, 20 matches were played.

Let us assume that n number of players participated in the tournament

As in each game 2 players play, so the number of ways they can play is,

=\ ^nC_2

As they played 2 games with every other participant in the tournament.

So the total number of games is,

=\ 2\times ^nC_2

But it is given to be 20, so

\Rightarrow \ 2\times ^nC_2=20

\Rightarrow \ ^nC_2=10

\Rightarrow \dfrac{n!}{2!(n-2)!}=10

\Rightarrow \dfrac{n(n-1)}{2}=10

\Rightarrow {n(n-1)=20

As 5\times 4=20, so we get n=5.

Therefore, 5 players participated in the tournament.

5 0
2 years ago
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Answer:

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8 0
3 years ago
Ben walks 25 miles from home to work. If he walks the first 5 miles in 1 hour, the second 5 miles in 1.4 hours, the third 5 mile
natka813 [3]

<u>Answer:</u>

The total time taken to complete 25 miles is 7.6 hours.

Solution:

Ben walks 5 miles in 1 hour,

Second 5 miles in 1.4 hours,

Third 5 miles in 1.7 hours,

Last 5 miles in 1.8 hours

So he walked total 20 miles in (1+1.4+1.7+1.8) hours = 5.9 hours = 6 hours (approximately)

So his average speed is \left(\frac{20}{6}\right) miles/hours = 3.33 miles/hours.  

i.e. he travels 3.3 miles in 1 hour,

Then, he travels 1 miles in \left(\frac{1}{3.3}\right) hours

Hence the total time he will take to walk 25 miles is \left(25 \times\left(\frac{1}{3.3}\right)\right) \text { hours }\Rightarrow \left(\frac{25}{3.3}\right) \text { hours } = 7.5757 hours

That is approximately 7.57 or 7.6 hours.

8 0
2 years ago
What is the domain and range of the function f(x) = x^2 -4x-5?
Tems11 [23]
F(x) = x²-4x-5, quadratic function,  
Domain (the values if x) is all real numbers.

To find range we should draw a graph or to write an equation in vertex form.
f(x) = x²-4x+4-4-5
f(x) = (x-2)²-9
Point (-2,-9) is the vertex of the parabola, and it is a minimum because a parabola has positive sign in front of x², so it is looking up.  Minimum value of y =-9
Range(the values of y) is [-9, ∞)


5 0
3 years ago
What is the P(T,H,T,H) on 4 flips of a coin?<br><br> i need help
Katen [24]

Answer:

1/16

Step-by-step explanation:

Each coin flip is an independent event so the probabilities are independent

P(T,H,T,H) = P(T) P(H)  P(T) P(H)

                  = 1/2 * 1/2 * 1/2 * 1/2

                   = 1/16

5 0
3 years ago
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