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MA_775_DIABLO [31]
3 years ago
8

Solve for x and y simultaneously: X-2y=3 4xsquared-5xy+6y=3

Mathematics
2 answers:
Mkey [24]3 years ago
4 0
X - 2y = 3
<span>4x^2 - 5xy + 6y = 3
lets solve for x the first and substitute in the second:
x = 3 + 2y
4(</span>3 + 2y)^2 - 5(3 + 2y)y + 6y = 3
4(9 + 12y + 4y^2) - 15y - 10y^2 = 3
36 + 48y +16y^2<span> - 15y - </span><span>10y^2 = 3
6y^2 + 33y + 33 = 0
we can solve using the general quadratic formula:
y = (-33 +- </span>√(33^2 - 4*6*33)<span>)/12
</span>y = (-33 +- √(297)<span>)/12
</span>so there are 2 solutions for y:
y1 = (-33 + √(297)<span>)/12
</span>y2 = (-33 - √(297)<span>)/12
</span>pick one and then substitute the y value in the first equation to find x
MAVERICK [17]3 years ago
4 0
X = 3 + 2y

4(3+2y)^2 - 5(3+2y)y + 6y = 3
4(4y^2 + 12y + 9) - 5(3y + 2y^2) + 6y - 3 = 0
16y^2 + 48y + 36 - 15y - 10y^2 + 6y - 3 = 0
6y^2 + 39y + 33 = 0
6y^2 + 6y + 33y + 33 = 0
6y(y+1) + 33(y+1) = 0
(y+1)(6y+33) = 0
y = -1, -11/2

x = 3 + 2y
x = 3 + 2(-1)
x = 3 + 2(-11/2)
x = 1, -8
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Adrian can put a total of 1716 combinations in the player. 

The formula to be used is as follows:

total combinations = n!/[r! *(n-r)!]
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Thank you for posting your question. Feel free to ask me more.



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Step-by-step explanation:

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What is the value of x? leave your answer in simplest radical form.
Masteriza [31]

Answer:

2 sqrt(5) =x

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2

2^2 +4^2 = x^2

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Need help with option 1 or 2
Pani-rosa [81]

Option 2.

1. Simplify 7 + (12 - 9) + 7 × 3(8 - 5)

According to the Order of Operations, contents of parentheses are evaluated first. This gives

... 7 + 3 + 7 × 3 × 3

Then multiplication and division are performed left to right.

... = 7 + 3 + 21 × 3

... = 7 + 3 + 63

Followed by addition and subtraction left to right.

... = 10 + 63

... = 73

A Google search box can be relied upon to do the operations in the correct order.

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2. When the expression is rewritten, a different result is obtained. This is because the operations indicated by the second set of parentheses are altered.

... (7 + 12) - 9 + (7 × 3)8 - 5

... = 19 - 9 + 21 × 8 - 5

... = 19 - 9 + 168 - 5

... = 10 + 168 - 5

... = 178 - 5

... = 173

In the first expression, both +8 and -5 are multiplied by 21. In the rewritten expression, only +8 is multiplied by 21.

7 0
4 years ago
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