Answer:
Length = 2x + 5
Width = x + 3
Step-by-step explanation:
Area of rectangle = length × width
Expression for area of the rectangle = 2x² + 11x + 15
Factorising the quadratic expression
2x² + 11x + 15 = 2x² + 6x + 5x + 15 = (2x² + 6x) + (5x + 15) = 2x(x + 3) +5(x + 3) = (2x + 5)(x + 3)
Length = 2x + 5
Width = x + 3
Answer:
x = -3 and x = 1/2
Step-by-step explanation:
To find the solutions to
2x² + 5x - 3 = 0
we can use the quadratic formula, as follows:
Answer:
it is equivalent
Step-by-step explanation:
Answer:
y = 2 -√(x+1)
Step-by-step explanation:
The square root function is reflected across the x-axis and shifted 1 unit to the left and 2 units up.
y = -√x . . . . . reflects the function across the x-axis
y = -√(x+1) . . . shifts the reflected function 1 unit to the left
y = 2 -√(x +1) . . . shifts the above function 2 units up
The graph is of the equation y = 2 -√(x+1).
