Answer: (x2 – 1) – 5(x – 1)
Answer:

Step-by-step explanation:
The equations are:


The two graphs intersect when:



To find the area under the curve for the first equation:

To find the area under the curve for the second equation:

To find the total area:

Simplifying the equation:

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).
Answer:
x = 4
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>
7(2x - 5) = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 7: 2x - 5 = 3
- Isolate <em>x</em> term: 2x = 8
- Isolate <em>x</em>: x = 4
<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>: 7(2(4) - 5) = 21
- Multiply: 7(8 - 5) = 21
- Subtract: 7(3) = 21
- Multiply: 21 = 21
Here we see that 21 does indeed equal 21.
∴ x = 4 is the solution to the equation.
Answer:
8 squares
Step-by-step explanation:
Count the squares- 5
then count the triangles- 6
2 triangles is one square- 3
add the triangles and squares
5+3=8