Answer:
B
Step-by-step explanation:
1/5 = 0.2
1/3 = 0.33
Answer:
(3, 2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 2x - 4
y = -x + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x - 4 = -x + 5
- Add <em>x</em> to both sides: 3x - 4 = 5
- Add 4 to both sides: 3x = 9
- Isolate <em>x</em>: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -x + 5
- Substitute in <em>x</em>: y = -3 + 5
- Add: y = 2
Answer:
6 years 4 months
Step-by-step explanation:
2 yrs+3yrs=5+1= 6
6m+10m= 16
There are 12 months in a year so 16-12=4. Add 1 more year to 5 and your left with 4 months.
Answer:
B
Step-by-step explanation:
Given
y = (x - 3)(x - 13)
Find the zeros by setting y = 0, that is
(x - 3)(x - 13) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 13 - 0 ⇒ x = 13
The vertex lies on the axis of symmetry which is located at the midpoint of the zeros, thus the x- coordinate of the vertex is
= = = 8
Substitute x = 8 into the equation for the corresponding y- coordinate
y = (8 - 3)(8 - 13) = 5(- 5) = - 25
vertex = (8, - 25 ) = (u, v) → with v = - 25 → B