Answer:
Tom can either take 24 kicks and make 16 goals or 30 kicks and make 20 goals.
Step-by-step explanation:
Andre made 4 goals out of 6 kicks.
Tom wants to take more than 20 kicks and to make an equivalent fraction to Andre.
<u>Possibility 1:</u>
Let Tom makes 24 kicks.
To get 24, we need to multiply the denominator of Andre's fraction by 4.
So, 
Therefore, Tom can take 24 kicks and make 16 goals.
<u>Possibility 2:</u>
Let Tom makes 30 kicks.
To get 30, we need to multiply the denominator of Andre's fraction by 5.
So, 
Therefore, Tom can take 30 kicks and make 20 goals.
4x - 2y = 5
4x - 4x - 2y = -4x + 5
-2y = -4x + 5
-2 -2
y = 2x - 2¹/₂
y - y₁ = m(x - x₁)
y - 4 = 2(x - 3)
y - 4 = 2(x) - 2(3)
y - 4 = 2x - 6
+ 4 + 4
y = 2x - 2
Step-by-step explanation:
Initially, there's only 1 letter.
Tania sends the letter to 4 friends.
Each friend sends a letter to 4 more friends (4 × 4 = 16).
Each of those friends sends to 4 more friends (16 × 4 = 64).
The pattern is 1, 4, 16, 64, etc.
This is a geometric sequence. The first term is 1 and each term is 4 times the previous term.
a₁ = 1
aₙ = 4 aₙ₋₁
The explicit formula is:
aₙ = 1 (4)ⁿ⁻¹
Answer:
8x³ + 12x² - 16x - 16
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Distributive Property
Step-by-step explanation:
<u>Step 1: Define expression</u>
(4x² - 2x - 4)(2x + 4)
<u>Step 2: Simplify</u>
- Expand: 8x³ - 4x² - 8x + 16x² - 8x - 16
- Combine like terms (x²): 8x³ + 12x² - 8x - 8x - 16
- Combine like terms (x): 8x³ + 12x² - 16x - 16
