Stacy earns $96,000 a year. How much money does she earn each month?
1 answer:
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<h3>Answer:</h3>
a, e
<h3>Explanation:</h3>If any of the terms has a variable with an exponent other than 1 or 0, or has a sum of variable exponents other than 1, the term is non-linear and the relation is not a linear relation.
a: the term xy has a sum of exponents of 1+1=2, so is not a linear term.
e: the term x² has an exponent other than 0 or 1, so is not a linear term.
In the attached graph, the non-linear relations are shown graphed in black. The remaining relations are all linear.
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<em>Comment on linear function</em>
By one definition, a linear function is one that is of the form
... f(x) = ax + b
Here, an equation such as <em>y = x + 2y</em> can be put in that form, but it is <em>not</em> in that form as presented. Yes, the graph is of a straight line, but you would have a hard time identifying independent and dependent variables from the equation as given.
Answer:
see below
Step-by-step explanation:
You want terms that have a common ratio of 3, so the term in the summation will be 3 to some power. Only the first expression matches that requirement.
You can try different values of n to see if they fit the problem description.
n = 1: 1(3)^0 = 1(1) = 1
n = 2: 1(3)^1 = 1(3) = 3
n = 3: 1(3)^2 = 1(9) = 9 . . . . . the third triangle in the set has 9 shaded triangles, as this expression predicts. Thus, we see the problem description being matched by <em>the first answer choice shown</em>.
