The result of the given expression is -6
<h3>Solving expressions</h3>
Given the expression below
−3/2⋅4⋅1/2(10−8)
Expand to have;
-3/2 * 4 * 1/2(2)
-3/2 * 4 * 1
-3/2 * 4
This is expressed as;
-12/2
-6
Hence the result of the given expression is -6
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Answer:
one: 9
Two: D
Step-by-step explanation:
One
The symbol used is x≥8 so 8 is included in the function part. That would mean that F(x) = 9
Two
The value you need to use is -4x + 3. That's because -2≤x and the symbol ≤ makes - 2 inclusive.
-4(-2) + 3 = 8 + 3 = 11
3a
The function is decreasing over -4x + 3
It goes from 11 to -29 roughly. That means it's going from a positive to negative number. Definitely decreasing
3b
The function is a constant when x≥8. The value of the function is 9 no matter what x is.
3c
The function is increasing from - 2x to 8 which is going from -9 to 11
Answer:
x = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
5(x + 4) = -2(-4 - x) + 3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 5x + 20 = 8 + 2x + 3
- Combine like terms: 5x + 20 = 2x + 11
- Subtract 2x on both sides: 3x + 20 = 11
- Subtract 20 on both sides: 3x = -9
- Divide 3 on both sides: x = -3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 5(-3 + 4) = -2(-4 - -3) + 3
- Simplify: 5(-3 + 4) = -2(-4 + 3) + 3
- Add: 5(1) = -2(-1) + 3
- Multiply: 5 = 2 + 3
- Add: 5 = 5
Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.
And we have our final answer!