Answer:
x = 2.2
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</u>
3.2(x - 1) + 1.5(2x - 2) = 7.44
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 3.2x - 3.2 + 3x - 3 = 7.44
- Combine like terms: 6.2x - 6.2 = 7.44
- Isolate <em>x</em> term: 6.2x = 13.64
- Isolate <em>x</em>: x = 2.2
<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>: 3.2(2.2 - 1) + 1.5(2(2.2) - 2) = 7.44
- Multiply: 3.2(2.2 - 1) + 1.5(4.4 - 2) = 7.44
- Subtract: 3.2(1.2) + 1.5(2.2) = 7.44
- Multiply: 3.84 + 3.6 = 7.44
- Add: 7.44 = 7.44
Here we see that 7.44 does indeed equal 7.44
∴ x = 2.2 is the solution to the equation.
Answer:
(7,0) and (1,0)
Step-by-step explanation:
To find the x-intercepts, we set the equation equal to 0 and solve. So, we set x²-8x+7 equal to zero and solve. This can be factored as (x-7) and (x-1).
We have (x-7)(x-1)=0
x-7=0 x-1=0
x=7 x=1
X-intercepts: (7,0) and (1,0)
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