Answer: y = 2x+1
Step-by-step explanation:
It is the only line with (1,3) as a solution. A slower algebraic way to solve this would be to plug in 1 for x and 3 for y, then, out of the equations in which it works, plug in -2 for x and -3 for y. The equation that remains true for both points is the answer.
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Answer:
5x - 2 = 3x = 14
8x -2 = 14
8x = 14 + 2
8x = 16
x = 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Cross multiplying, we have,
Integrating both sides,
We obtain,
, where C is the constant of integration.
We know that y(0) = 4
Putting these value in the above equation, we get C =
Thus,
After 5 months Dylan’s account will have more money than Kelly
Answer:
The width of the garden is 25 feet
The length of the garden is 60 feet
Step-by-step explanation:
The formula for the perimeter of a rectangle
= P = 2L + 2W
Where L = Length, W = Width
The length of the garden is 10 feet more than twice its width.
P = 170
L = 2W + 10
Hence,
170 = 2(2W + 10) + 2W
170 = 4W + 20 + 2W
Collect like terms
170 - 20 = 6W
150 = 6W
W = 150/6
W = 25 feet
The width of the garden is 25 feet
Remember
L = 2W + 10
L = 2(25) + 10
L = 50 + 10
L = 60 feet
The length of the garden is 60 feet