What is the solution of the system of equations? {4x−3y=152x+2y=4

1 answer:

8 0

Start by solving one equation for x or y, this time I'm choosing x. 2x = 4 - 2y, then x = 2 - y. Now substitute in x in the other equation. 4(2-y) - 3y = 15. This simplifies to 8 - 4y - 3y = 15. This simplifies to -7y = 7. Divide both sides by -7, and y = -1. Now plug the y value into the other equation: 2x + 2(-1) = 4. This simplifies to 2x = 6, and x = 3.
X = 3, Y = -1 or (3,-1)

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If the domain of the square root function f(x) is , which statement must be true?7 is subtracted from the x-term inside the radi

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The question was incomplete. Below you will find the missing content.
The square root function f(x) is x <= 7

Options are :

A. 7 is subtracted from the x-term inside the radical.
B. The radical is multiplied by a negative number.
C. 7 is added to the radical term.
D. The x-term inside the radical has a negative coefficient.

Option D is correct, which is : The x-term inside the radical has a negative coefficient.

Given, the domain of the square root function f(x) is x <= 7
Consider the function y = √x.
The domain of this function is x ≥ 0 and the range is y ≥ 0.
The expression inside the radical must be greater than or equal to zero.
Now, if x ≤ 7
x - 7 ≤ 0
7 - x ≥ 0
And the function y = √(7-x) will have the domain x ≤ 7.
This implies that the x-term inside the radical has a negative coefficient.
Therefore, the statement that the x-term inside the radical has a negative coefficient must be true.

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