Answer: b and d
Step-by-step explanation:
Since the roots are x=2 and x=6, we can write the equation as
Substituting in the coordinates of the vertex,
So, the equation is 
On expanding, we get 
Answer:
p + 111 = 210
p = 99
Step-by-step explanation:
Break the question down into parts.
<u>Convert each part into algebraic form</u> (numbers or symbols).
210 => 210
is equal to => =
the total of p and 111 => p + 111
Put the equation together:
210 = p + 111
Usually, the variable is on the left side:
p + 111 = 210
<u>To solve the equation is to isolate "p"</u>. This means to keep "p" on the left, and move everything else to the right side. When moving something, do the <u>reverse operation</u> to both sides of the equation.
p + 111 = 210 "111" should be on the left. It's opposite is -111.
p + 111 - 111 = 210 - 111 Simplify. "111" cancels out on the left.
p = 99 Solved for "p"
Answer:
Step-by-step explanation:a=2b+4
Answer:
y = -18
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
y = 5x - 3
3x - 2y = 27
<u>Step 2: Rewrite systems</u>
- Define: 3x - 2y = 27
- Add 2y on both sides: 3x = 2y + 27
- Divide 3 on both sides: x = 2/3y + 9
<u>Step 3: Redefine</u>
y = 5x - 3
x = 2/3y + 9
<u>Step 4: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em>: y = 5(2/3y + 9) - 3
- Distribute 5: y = 10/3y + 45 - 3
- Combine like terms: y = 10/3y + 42
- Subtract 10/3y on both sides: -7/3y = 42
- Divide -7/3 on both sides: y = -18
