From the given description of the graph:
<span>rational graph with asymptotes of x equals 4 and y equals negative 1
This corresponds to
y =(-x + 10) / (x - 4)
The second description
</span><span>Linear graph intersects it at negative 2, negative 2 and 5, 5
Corresponds to
</span><span>y = x</span>
Answer:
change to improper fractions first
6/8 + 6/24
make so there is a common denominator
6/8 × 3/3 = 18/24
now add
18/24 + 6/24 = 24/24 = 1
Answer:
<u>To prove:</u>
<u>Expand the square:</u>
- 9x² + 6x + 4 = (9x² + 6x + 3) + 1 = 3(3x² + 2x + 1) + 1 = 3y + 1
Answer:
2(4x + 1)(x + 1)
Step-by-step explanation:
Given
8x² + 10x + 2 ← factor out 2 from each term
= 2(4x² + 5x + 1)
To factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × 1 = 4 and sum = + 5
The factors are + 1 and + 4
Use these factors to split the x - term
4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )
= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)
= (4x + 1)(x + 1), thus
4x² + 5x + 1 = (4x + 1)(x + 1) and
8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form
