Hey there!!
Equations given :
y = x² - x - 20 -------- ( 1 )
y = 3x - 15 ------------ ( 2 )
Now, lets first solve for the 1st equation ...
... x² - x - 20
We can write -x as -5x + 4x
... x² + 4x - 5x - 20
... x ( x + 4 ) - 5 ( x + 4 )
... ( x - 5 ) ( x + 4 )
y = ( x - 5 ) ( x - 4 )
Now, let's solve the second equation ...
y = 3x - 15
... y = 3 ( x - 5 )
We have two equations, now getting them together..
3 ( x - 5 ) = ( x - 5 ) ( x - 4 )
Divide by x-5 on both sides
3 = x - 4
Add 4 on both sides
x = 7
The value of x is 7
Now substituting this, we get the value of y
We have,
y = 3x - 15
... y = 3(7 ) - 15
... y = 21 - 15
... y = 6
Hence, the ordered pair is ( 7 , 6 )
Hope my answer helps!
When you devide you get 0.02
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Answer: The greatest common factor is 2!
Explanation:
I hope this helped!
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Answer:The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
Answer the questions to estimate the probability that the Iceblades will win the game.
1. The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
Write your answer in the space below.
2. Each group represents the 5 shots taken by the other team. To win the game, the Iceblades cannot let the other team score any goals.
For a group to be a success, how many of the 5 shots does the goalie need to save?
Write your answer in the space below.
3. Group 1 is a success. Explain why.
Write your answer in the space below.
4. In this simulation, which groups are successes? How many successes are there in the 10 groups
Step-by-step explanation:
