Two dice are thrown. Let E be the event that the sum of the dice is odd, let F be the event that the first die lands on 1, and let G be the event that the sum is 5. List the all the outcomes that belong to the following events (Note: no solution required, just list them): a) EnF b) EUF c) FnG

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A: Given equation is

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A: First multiply Both sides by -1.

Q: 1 Explain if the point ( -2, 4) is a solution to the sytesm 3x + 4y = 10 and - 3x + y = 15 2

A: System of equations solution.

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A: Consider the given equations as,

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A: 5-3x=-4x5ywhen two matrix are equal their corresponding elements are equal .

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A:

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A:

Q: Help me solve this question 5y2+7y-3y2+2y-8 y=-4

A:

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A:

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A:

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A:

Q: Eliminate all the arbitrary constants in the equation y = Ae2x + Be-6x + Ce4x

A:

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A:

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A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.