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Mamont248 [21]
3 years ago
14

For the equation, complete the given ordered pairs. Please Help!!!

Mathematics
2 answers:
Novay_Z [31]3 years ago
7 0

Answer:

The ordered pairs are (4, 19) , (\frac{-3}{4},0)  and ( -6, -21)

Step-by-step explanation:

We are given equation y = 4x + 3

We have to complete the given ordered pairs.

1) (4, u)  

We are given x coordinate and we have to find the y coordinate

substitute x and y values in given equation y = 4x + 3

u = 4(4) + 3 = 16 + 3 = 19

thus, (4,u) is (4, 19)

2) (v , 0)

We are given y coordinate and we have to find the x coordinate

substitute x and y values in given equation y = 4x + 3

0 = 4(v) + 3

-3 = 4v

v=\frac{-3}{4}

thus, (v,0) is (\frac{-3}{4},0)

3) (w, -21)

We are given y coordinate and we have to find the x coordinate

substitute x and y values in given equation y = 4x + 3

-21 = 4(w) + 3

-21 -3 = 4w

-24 = 4w

w = -6

Thus, (w, -21 ) is ( -6, -21)


lora16 [44]3 years ago
4 0

Answer:

((4,19), (\frac{-3}{4},0), (-6,-21))

Step-by-step explanation:

We have the linear equation given by, y = 4x + 3.

So, for the ordered pairs, we will substitute the given co-ordinate in the equation to find the other co-ordinate.

1. We are given, x = 4.

So, y = 4x + 3 ⇒ y = 4 × 4 + 3 ⇒ y = 16 + 3 ⇒ y = 19.

Hence, the ordered pair is (4,19).

2. It is given that y = 0.

So, y = 4x + 3 ⇒ 0 = 4x + 3 ⇒ 4x = -3 ⇒ x=\frac{-3}{4}

Thus, the ordered pair is (\frac{-3}{4},0).

3. We have, y = -21

So, y = 4x + 3 ⇒ -21 = 4x + 3 ⇒ 4x = -21-3 ⇒ 4x = -24 ⇒ x = -6.

So, the ordered pair is (-6,-21).

Hence, we get that the ordered pairs are ((4,19), (\frac{-3}{4},0), (-6,-21)).

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Since 3-pointers and free throws are independent, first we find the probability of making exactly 3 3-pointers out of 10, then the probability of making exactly 5 free throws out of 10, and then the probability that the player will make exactly 3 3-pointers and 5-free throws is the multiplication of these probabilities.

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In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

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The chances of a basketball player hitting a 3-pointer shot is 0.4, which means that p = 0.4. So this is P(X = 3) when n = 10.

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