Answer:
(-3, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equation using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
3y = -5x - 3
y = -x + 1
<u>Step 2: Rewrite Systems</u>
Equation y = -x + 1
- [Multiplication Property of Equality] Multiply everything by -3: -3y = 3x - 3
<u>Step 3: Redefine Systems</u>
3y = -5x - 3
-3y = 3x - 3
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: 0 = -2x - 6
- [Addition Property of Equality] Add 6 on both sides: 6 = -2x
- [Division Property of Equality] Divide -2 on both sides: -3 = x
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define original equation: y = -x + 1
- Substitute in <em>x</em>: y = -(-3) + 1
- Simplify: y = 3 + 1
- Add: y = 4
Answer:
96 square units
Step-by-step explanation:
The area of a parallelogram is calculated by multiplying height × base
The height given for this parallelogram is 12 units and base is 8 units
12 × 8 = 96 square units
Answer:
142 cm^2
Step-by-step explanation:
Okay, we can first break this down into 3 different rectangles.
3 x 5 rectangle
16 x 7 rectangle
3 x 5 rectangle.
From here, we just multiply these out and add them. 15 + 15 + 112 = 142. So our answer is 142 cm^2
Answer:
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Answer:
6.7%
Step-by-step explanation:
In this question, we are to calculate the percentage error in in the average polling results calculated.
Firstly, what this means is that we calculate the average of the total votes.
That would be ; (66 + 56 + 55 + 60 + 63)/5 =
300/5 = 60%
we now proceed to calculate the percentage error in the company’s result.
Mathematically;
percentage error = (Actual value - expected value)/expected value * 100%
Here the actual value is 64% and the expected is 60%
% error = (64-60)/60 * 100 = 4/60 * 100 = 6.67%
This is 6.7% to the nearest tenth of a percent
