Answer:
3rd option
Step-by-step explanation:
( factorise numerator and denominator )
3x² - 3 ← factor out 3 from each term
= 3(x² - 1²) ← x² - 1 is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
x² - 1
= x² - 1²
= (x - 1)(x + 1) , then
3x² - 3 = 3²(x - 1)(x + 1) ← in factored form
--------------------------------
x² - 5x + 4
consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)
the factors are - 1 and - 4 , since
- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then
x² - 5x + 4 = (x - 1)(x - 4)
then
= ← in factored form
Answer: In 12 months they will have the same amount, which will be $520.
Step-by-step explanation:
220 + 25m = 100 + 35m
m = month
Subtract 100 from each side
120 + 25m = 35m
Subtract 25m from each side
120 = 10m
Divide each side by 10
12 = m
Parallel to the graph of y = -2/3x + 5
means that it has the same slope
Rewrite
y = -2/3x + b
plug in the given coordinates to solve for b
5 = -2/3(-3) + b
5 = 2 + b
subtract 2 from both sides
3 = b
plug that back into the equation
y = -2/3x + b
y = -2/3x + 3
The answer is <span>B. y= -2/3x+3</span>
This line is parallel to y = -2/3x + 5 and it passes the point (3, 5).
Hope this helps :)
Answer:
10%
Step-by-step explanation:
because 7/10 would be 70% 4/10 would be 40% right?