Answer:
<em>No values of x can make f(x)=6</em>
Step-by-step explanation:
Equation with Absolute Value
The absolute value of a number is always positive. That condition must be met when solving equations. Any condition that goes against the rule, must be discarded and not part of the solution.
The function provided in the question is:
We need to find the value(s) of x that make:
f(x)=6
It needs to solve the equation:
Subtracting 1:
Dividing by -0.5:
We reach to this equation to solve:
As stated above, the absolute value is always positive, and the equation forces the absolute value to be negative. There is no possible value of x that makes the absolute value negative, thus:
No values of x can make f(x)=6
72 in2 because you add the area of everything
A number line from negative 10 to 10 is shown, with numbers labelled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 6. Therefore, option C is the correct answer.
<h3>What is a number line?</h3>
A number line is a straight line with numbers placed at equal intervals. Positive numbers are placed to the right of 0 and negative numbers are placed to the left of zero.
When a number (x) is added x unit is moved to the right while if a number (x) is subtracted x unit is moved to the left.
Now, solve -8 - (-2)
= -8 + 2=-6
So, a number line from negative 10 to 10 with numbers labelled at intervals of 2. An arrow is shown from point 0 to negative 8 then since 2 is added, we move 2 units right from negative 8 to negative 6.
Therefore, option C is the correct answer.
To learn more about the number line visit:
brainly.com/question/13189025.
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Let
in this problem
f(x)=g(x)
so
using a graph tool
the solution is the intersection of both graphs
see the attached figure
the solutions are
x=-1.89
x=2.66
