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2 years ago

12

Which of the following ordered pairs represents the solution to the system given below?

2 answers:

castortr0y [4]2 years ago

8 0

X − 4y = 7
5x + 9y = 6

5x − 20y = 35 //1st * 5
5x + 9y = 6

5x +9y - 5x + 20y = 6 - 35 //2nd - 1st
5x + 9y = 6

29y=-29
5x=6-9y

y=-1 //1st : 29
5x=6-9*(-1)

y=-1
x=15:5 //2nd : 5

y=-1
x=3

check:
for x=3 and y=-1 there is:
x − 4y = 7 is 3 − 4*(-1) = 7 is 7=7 ok
5x + 9y = 6 is 15-9=6 is 6=6 ok

answer: (3;-1) represents the solution.

Law Incorporation [45]2 years ago

3 0

Answer:

It’s 3,-1

Step-by-step explanation:

You have to plug in the points u can use a calculator or work it by hand but I did it on the calculator and that’s what I got

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3 years ago

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How many 5 centimeter squares are needed to completely cover a 1 meter square without overlapping?

Feliz [49]

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If a coin is flipped 75 times, in how many ways could there be exactly two tails?

Dimas [21]

Answer:

2775 ways

Step-by-step explanation:

We have been given the case to choose exactly two tails when flipped 75 times means $^{75}C_2$

Since, $^nC_r$ is equal to $\frac{n!}{r!\cdot(n-r)!}$

Here n =75, r=2 substituting the values we will get

$\frac{75!}{2!(75-2)!}$

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After simplification we will get $\frac{75\cdot 74\cdot 73!}{2!\cdot73!}$

Cancel out the common term that is 73! we will get

after more simplification we will get $\frac{75\cdot 74\cdot}{2!}$

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2 years ago

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