whenever we end up with an expression on the left-hand-side that is equal to the equation on the right-hand-side, is a way of saying, the system of equations, contains two lines that are exactly the same thing, but one is in disguise, something like say
9x + 15 = (3x + 5)3
now, if we distribute the 3 on the right-hand-side, we'd end up with the same equaton on the left-hand-side, so both are the same.
graphing wise, a solution is where both graphs intersect, when two equations are equal they'll intersect, well, at every single point, since their graph is really just one graph pancaked on top of the other, since they touch each other at every point, infinitely many solutions.
Answer:
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Step-by-step explanation:
Given
In 1990; Income= $39000
In 2010; Income= $70768
Solving (a): An equation in form of f(x) = ax + b
First, we need to determine the slope, a
Taking y as income and x as year index.
When x = 0; y = 39000
When x = 20; y = 70768
Substitute these values in the above formula
Next, is to determine the formula using:
<em>Considering :When x = 0; y = 39000, we have</em>
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<em>Make y the subject of formula</em>
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<em>Express y as a function of x</em>
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Solving (b): Income in 2005
<em>In 2005, x = 15</em>
So:
becomes
Answer:
200000 x 1.05^3=231525
Step-by-step explanation:
X 1.05 because the price is increasing by 5% and ^3 because there are three years between 2014 and 2017
The absolute value of x, written as |x|, is the distance from x to 0 on the number line.
If the distance is larger than 2, then we know
|x| > 2
If |x| > 2, then either x > 2 or x < -2
If x > 2, then we can subtract 2 from both sides to get...
x > 2
x-2 > 2-2
x-2 > 0
x + (-2) > 0
-2 + x > 0
So -2+x is positive. The original statement is true.