The piecewise-defined function with linear parts f(x)= |2x + 9|
f(x) = {2x + 9 x ≥ -9/2)
{-2x - 9 x < 9/2}
<h3>How to write piecewise functions?</h3>
To write this function as a piecewise function, you have to use the definition of absolute value.
The absolute value equation is; f(x)= |2x + 9|
The definition says that;
|x| = {x x ≥ 0)
{-x x < 0}
Applying this definition to the function you get:
|2x + 9| = {2x + 9 2x + 9 ≥ 0)
{-2x - 9 2x + 9 < 0}
After simplifying the inequalities you get:
|2x + 9| = {2x + 9 x ≥ -9/2)
{-2x - 9 x < 9/2}
So finally you can write the piecewise function as:
f(x) = {2x + 9 x ≥ -9/2)
{-2x - 9 x < 9/2}
Read more about piecewise function at; brainly.com/question/18499561
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<h2>y = 8</h2><h2 />
y varies directly as x
y ∞ x
y=14 when x=3.5
y = kx
k is a constant, when multiplied by x, you get y
14 = 3.5k
Solve to find k:
14/3.5 = k
14/3.5 = 4
k = 4
y = 4x
Find y when x=2
y = 4x
y = 4(2)
<h2>y = 8</h2>
Let's call the mystery number ' M ' .
You said that 8 + 5M = 43
Subtract 8 from each side: 5M = 35
Divide each side by 5 : M = 7
Answer:
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Step-by-step explanation:
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