Answer:
h(x) = (x +1.5)^2 -20.25
Step-by-step explanation:
We assume you want to rearrange h(x)= x^2 +3x -18.
Recognize the coefficient of x is 3. Add and subtract the square of half that. (3/2)^2 = 9/4 = 2.25
h(x) = (x^2 +3x +2.25) -18 -2.25
Now, write the expression in parentheses as a square, simplify the constant.
h(x) = (x +1.5)^2 -20.25 . . . . . . . . vertex form
24 because when you plug in 0 for both x and y:
0=12(0)+24
12*0=0, leaving you with 24.
Answer
Q
Step-by-step explanation:
Because the Q is on top of the 5 It is the absolute value
It's 6/35 because of means multiply and take numerator times numerator and denominator times denominator when you multiply fractions. 2 x 3 = 6 over 5 x 7 = 35. 6/35.
Answer:
x = 81/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
2/3x = 27
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide 2/3 on both sides: x = 81/2
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 2/3(81/2) = 27
- Multiply: 27 = 27
Here we see that 27 does indeed equal 27.
∴ x = 81/2 is the solution to the equation.
