To demonstrate the statement “y varies directly as x”, you
will have to have this equation:
y = kx
Where k = constant of the variation
In this problem, you have to substitute the value of x and y
to calculate for the constant.
12 = k (4)
k = 3
Answer:
either of Step 3 or Step 4
Step-by-step explanation:
At Step 3, -1 is added to both sides of the equation. Technically, this is correct (not an error), but it does not lead to a solution to the equation (so, could be considered to be an error). Adding +1 to both sides of the equation would lead more directly to a solution.
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At Step 4, x -1 -1 is simplified to x. This is an error, as the correct simplification is x-2, so the equation after this step should read x-2 = 5. If Step 3 had been executed by adding +1 to both sides of the equation, then the simplification here would be x=7.
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Answering "why" someone does something is always tricky. One can project one's own interpretation onto the actions of others, but one never really knows whether that is accurate or not.
The "why" in this case could go back to the motivation of the problem's author, which may be to see if the student can recognize that the opposite of -1 is +1, or that the sum -1-1 is not zero.
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My guess is that Step 3 is considered to be the erroneous step, and that choosing Step 4 will get you into a losing argument with your grader.
F(x)=-x+12/4 Not sure if this is right..
A pentagonal prism, a rectangular prism, and a square pyramid all have rectangular faces but a hexagonal pyramid does not.
A hexagonal pyramid only consists of a hexagon and triangles. Therefore, the answer is B. Hexagonal Pyramid.
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
