The simplified form of the given expression is -18. The correct option is the third option- -18
<h3>Simplifying an expression</h3>
From the question, we are to simplify
|3-10| - (12 ÷ 4 + 2)²
Simplifying
|3-10| - (12 ÷ 4 + 2)²
|-7| - (3 + 2)²
7 - (5)²
7 - 25
= -18
Hence, the simplified form of the given expression is -18. The correct option is the third option- -18
Learn more on Simplifying an expression here: brainly.com/question/24128186
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To solve equations, you isolate the variable you are solving for on one side and everything else on the other side.
The first step to solving this equation is to combine like terms.
Combining like terms means to add up all terms that have the same variable(s) and exponent.
If no exponent is shown, then a 1 exponent is implied. The reason why we don't show a term raised to the first power is that it doesn't have any effect on the term.
I see three terms with the x variables. We can combine them. Why? Because they all have the same variable and exponent.
I'll rearrange the left-hand side to combine all the terms with the x variable.
Now we have -3 + 2x - 4x - 2x = -6
Combine all terms that have the x variable.
-3 + 2x - 4x - 2x = -6
-3 - 4x = -6
Now we have -3 - 4x = -6
What can we do now to isolate the x variable on the left-hand side?
For starters, we can add 3 to each side of the equation.
That way the -3 term will disappear.
-3 - 4x + 3 = -6 + 3
-4x = -3
Last step.
The x variable is being multiplied by the -4. If we reverse that operation
we can get the value of x.
-4x / -4 = 3 / -4
x = 3/-4 or x = -0.75
The parabola is looking down, so it can be A. or D.
The colored area is inside the parabola, that means that values of y inside the parabola is less than values of y of the parabola.
So,
the answer is D. f(x)< -x²+x-1
