Answer:
(-3, 13)
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 equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -4x + 1
11y = x + 146
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 11(-4x + 1) = x + 146
- Distribute 11: -44x + 11 = x + 146
- [Addition Property of Equality] Add 44x on both sides: 11 = 45x + 146
- [Subtraction Property of Equality] Subtract 146 on both sides: -135 = 45x
- [Division Property of Equality] Divide 45 on both sides: -3 = x
- Rewrite/Rearrange: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -4x + 1
- Substitute in <em>x</em>: y = -4(-3) + 1
- Multiply: y = 12 + 1
- Add: y = 13
40 tables, 4 tables per 12 minutes so 40/4*12 which would be 120 minutes.
Hope this helps!
Answer:
C.
Step-by-step explanation:
We can off-the-bat eliminate choices A and B, because the first part of the quadratic formula is a -b. Therefore, the value for b in the quadratic has to be a positive, because the value in the formula is negative. This leaves us with choices C and D. If you look at the discriminant, you will see that our <em>a </em>in the quadratic formula is 3, so your answer choice is C.
I think this is how you solve this and the answer <span><span><span>0.1+30</span>+8</span>−12</span>+<span>14</span><span>=<span>26.35
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