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
Answer:
(3,25) is the vertex
Step-by-step explanation:
f(x)=-(x-3)^2+25
This equation is written in the form
y = a(x-h)^2 +k
Where (h,k) is the vertex of the parabola
(3,25) is the vertex
Step-by-step explanation:
6z + 8 = 200
subtract 8 from each sides
6z + 8 - 8 = 200 - 8
simplify --> 6z = 192
6z/6 = 192/6
z = 32
Answer:
<h2><u><em>
Both classes will have the same value for the third quartile</em></u> </h2>
Step-by-step explanation:
This is it because the 3rd quartile is where the maximum or whisker is. Hope this helps!