The expression for the cost of the ABC Book Club is 2x + 40. The expression for the cost of the Easy Book Club is 3x + 35. To find when the total charge for both book clubs is equal, the two expressions must equal each other. (x = the number of books read)
2x + 40 = 3x + 35
Subtract 35 from both sides.
2x + 5 = 3x
Subtract 2x from both sides.
5 = x
So, the total charge for each club is equal when 5 books are read.
Answer:
D
Step-by-step explanation:
To keep it short, refer to triangle exterior angle theorem.
Edit: If you want the full explanation,
A isn't the answer. The triangle exterior angle states that the measure of the 2 triangle interior add up to the the exterior angle of the other interior angle within the triangle.
Meaning that
measure of angle 1 equal the measure of 3 and 4 combined.
B. is wrong they are equal to each other because angle 2 is equal to angle 2
angle 1 is equal to angle 3 and 4
So they are equal
C.Wrong unless it a 30 60 90 triangle or 45 45 90 triangle, C is wrong
D. is right since measure of angle 4 and angle 3 add up to angle 1, angle 4 would be lesser than angle 1.
Answer:
f(g(x)) = 15x + 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Functions
- Function Notation
- Composite Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 5x + 7
g(x) = 3x - 1
<u>Step 2: Find</u>
- Substitute in functions: f(g(x)) = 5(3x - 1) + 7
- [Distributive Property] Distribute 5: f(g(x)) = 15x - 5 + 7
- [Addition] Combine like terms: f(g(x)) = 15x + 2
Principal Amount = P = $885
Amount Accumulated = A = $3500
Interest rate = r = 12% = 0.12
Compounding period in a year = n = 2
Time in years = t = ?
The formula for compounding is:
Using the values, we get:
This means, it will take him 11.8 or approximately 12 years