Answer:
(a) 10x^2−x−21
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW . . . . . where L is the length, and W is the width
__
The area of the given rectangle will be ...
A = (2x -3)(5x +7)
This product is simplified using the distributive property to eliminate parentheses. Then like terms are combined.
A = 2x(5x +7) -3(5x +7)
= (2x)(5x) +(2x)(7) -3(5x) -3(7)
= 10x^2 +14x -15x -21
A = 10x^2 -x -21
The expression 10x^2 -x -21 represents the area of the rectangle in square inches.
Answer:
aₙ = 207+9*(n-1)
Step-by-step explanation:
a1 = 207+9*(1-1) = 207
a2 = 207+9*(2-1) = 216
a3 = 207+9*(3-1) = 225
....
aₙ = 207+9*(n-1)
Answer:
a) 24
b) 16
Step-by-step explanation:
a) Total Students = 40
Boys= 40*(3/5) = 24
b) Total Students= 40
Boys= 24
Girls= (40-24) = 16
Answer:
y + 1 = -1/2(x - 8)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Slope Formula: 
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
f(8) = -1 → Coordinate (8, -1)
f(6) = 0 → Coordinate (6, 0)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute [SF]:

- Add/Subtract:

- Simplify:

<u>Step 3: Write Function</u>
<em>Substitute into general form.</em>
- Point 1: y + 1 = -1/2(x - 8)
- Point 2: y = -1/2(x - 6)
Answer:
y=3x+-6
Step-by-step explanation:
plug it into y=mx+b form
hope this helps
mark brainiest pls