9514 1404 393
Answer:
y = -5/3x -13/3
Step-by-step explanation:
In any "solve for ..." problem, it is useful to start by identifying where the target is and what has been done to it. Here, y is in one term on the left side of the equation and it has had these things done to it:
We want to undo these in reverse order. We undo addition by adding the opposite. We undo multiplication by multiplying by the reciprocal (equivalently, dividing). <em>Whatever we do to one side of the equation, we must also do to the other side</em>.
So, first we add the opposite of -5x to both sides of the equation.
-5x +5x -3y = 13 +5x
-3y = 13 +5x . . . . . . . . . collect terms
Next, we undo the multiplication by -3. We can do that by multiplying both sides by 1/(-3) = -1/3.
(-1/3)(-3y) = (-1/3)(13 +5x)
y = -5/3x -13/3 . . . . . also we rearranged the terms to standard form
Since there are already choices in the question, I suggest you just substitute in the values of x to each choice and check whether the corresponding value for y appears. This is also called the trial and error method in multiple choice.
The answer that represents the data in the table is C. <span>y = x^2 – 5.</span>
Prove:
The angle inscribed in a semicircle is a right angle.
The inscribed angle theorem states that the angle θ, inscribed in a circle is half the measure of the central angle of the circle. So, if the given is a semi-circle, then the inscribed angle is half of 180, therefore, 90 degrees and a right angle. <span />
Answer:
option c
x + 4 = 64
and
option e
x = 60
Step-by-step explanation:
Given in the question an expression
3∛x+4 = 12
∛x + 4 = 12/3
∛x + 4 = 4
Take cube on both sides of the equation
∛(x + 4)³ = 4³
x + 4 = 64
x = 64 - 4
x = 60
Turn f(x) into y so the equation is y=x+2. Now switch their places so it is x=y+2. Now solve for y. The answer is y=x-2.
