Answer:
x^3 + 3x^2 + 2x = x(x^2 + 3x + 2)
= x(x^2 + x + 2x + 2)
= x(x(x+1) + 2(x+1))
=x(x+1)(x+2)
Hope this helps!
Answer:
Cost of 1 rose bush = x = $5
Cost of 1 geraniums = y = $2
Step-by-step explanation:
DeShawn and Mike each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store.
Let us represent:
Cost of 1 rose bush = x
Cost of 1 geraniums = y
DeShawn spent $13 on 1 rose bush and 4 geraniums.
x + 4y = 13..... Equation 1
x = 13 - 4y
Mike spent $56 on 10 rose bushes and 3 geraniums.
10x + 3y = 56....... Equation 2
We substitute 13 - 4y for x in Equation 2
10(13 - 4y) + 3y = 56
130 - 40y + 3y = 56
Collect like terms
- 40y + 3y = 56 - 130
-37y = -74
y = -74/37
y = $2
Solving for x
x = 13 - 4y
x = _13 - 4 × $2
x = $13 - $8
x = $5
Therefore,
Cost of 1 rose bush = x = $5
Cost of 1 geraniums = y = $2
Answer:
w^2 + 5w = 300
Step-by-step explanation:
A= length x width
A =300
Width = w
length = w + 5
Therefore
300 = (w) x (w + 5)
300 = w^2 + 5w
w^2 + 5w = 300
Your equation is not dimensionally consistent.
Let L = length and T = time. Without taking into account precise units, you can write velocity as the ratio between some distance L and some time T.
So in terms of these fundamental quantities, your equation can be written as
L = (L/T + L/T)T^2
L = (L + L)T
L = LT
