Answer:
y=-3/16(x-8)^2+12
Step-by-step explanation:
Refer to the vertex form equation for a parabola:
y=a(x-h)^2+k where (h,k) is the vertex.
Therefore, we have y=a(x-8)^2+12 as our equation so far. If we plug in (16,0) we can find a:
0=a(16-8)^2+12
0=64a+12
-12=64a
-12/64=a
-3/16=a
Therefore, your final equation is y=-3/16(x-8)^2+12
I = prt
where i = interest, p = principal, r = interest rate, t = time
i = $1500 * 0.07 * 1.5
i = $157.5
Answer:
(2, -1)
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
- Subtract Property of Equality
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
2x + y = 3
-2x + 5y = -9
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Elimination</em>
- Combine equations: 6y = -6
- Divide 6 on both sides: y = -1
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define equation: 2x + y = 3
- Substitute in <em>y</em>: 2x - 1 = 3
- Isolate <em>y</em> term: 2x = 4
- Isolate <em>y</em>: x = 2
Answer: x goes from 0 to 2, y changes from 0 to -2
Step-by-step explanation:
Answer:
110 Degrees
Step-by-step explanation:
The sum is when different numbers are added.
When all angles are added it adds up to 180 Degrees for any triangle.
Triangles have three sides and two are given as 50 Degrees and 20 Degrees.
There is one angle remaining.
50 Degrees + 20 Degrees = 70 Degrees
Therefore, the last angle must be 110 Degrees. (180-70)