√272 is a real number, and the simplified expression of √272 is 4√17
<h3>How to simplify the expression?</h3>
The expression is given as:
√272
Expand
√272 = √16 * 17
Take the square root of 16
√272 = 4√17
Hence, the simplified expression of √272 is 4√17
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Answer:
The slope-intercept form of the line equation is:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the points
Determining the slope between (-1, -2) and (3, 4)




Thus, the slope of the line is:
m = 3/2
substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation
y = mx+b

switch sides


subtract 9/2 from both sides


now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation



Therefore, the slope-intercept form of the line equation is:
We will use distribution
we will multiply 6 to each variable and number in the parenthesis.
6 times x plus 6 times 4
which is 6x +24
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

