Answer:
Step-by-step explanation:
Let f(x) be the polynomial.
If x=-3, x=0,x=0, x=1 are roots ,then by the factor theorem, x+3=0,x=0,x=0, x+1=0 are factors of f(x).
This implies that:
Expand further to get:
Answer:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
hope this helps
Answer:
Area of new garden = 800 ft²
Step-by-step explanation:
Given:
Old fencing = Parameter of old garden = 60 ft
Area of old garden = 200 ft
Find:
Area of new garden if Parameter of new garden is 120 ft
Computation:
Assume;
Length of old garden = l
Width of old garden = b
So,
2[l + b] = 60
l + b = 30
l = 30 - b
Area of old garden = 200 ft
l x b = 200
So,
(30 - b)b = 200
b² - 30b + 200 = 0
b² - 20b - 10b + 200
b(b-20) - 10(b-20)
(b-20)(b-10)
So,
Width of old garden = 10 ft
Length of old garden = 20 ft
New parameter is double
So,
Width of new garden = 10 x 2 = 20 feet
Length of old garden = 20 x 2 = 40 feet
Area of new garden = l x b
Area of new garden = 20 x 40
Area of new garden = 800 ft²
Answer: 55 to 90 for math; 50 to 90 for language arts
Step-by-step explanation:
To answer this item, we let the original speed of the car be x. The time it take to travel a certain distance is calculated by dividing the distance by the speed. Using the condition given above,
189 / (x + 12) = 189/x - 1
The value of x from the equation is 42 mph. Thus, the original speed of the car is 42 mph.
