3(x + 5) = -4x + 8
3x + 15 = -4x + 8
3x + 4x = 8 - 15
7x = - 7
x = -7/7
x = -1
this equation has exactly 1 solution
Answer:
2/3 , -1/4
Step-by-step explanation:
(3x - 2)(4x + 1) = 0
Either 3x - 2 = 0 or 4x + 1 = 0
or, x = 2/3 or x = -1/4
The area of the shaded region is 3x^2 + 6x
<h3>How to determine the area of the shaded region?</h3>
The given parameters are:
- Top side of the shaded rectangle = 2x + 7.
- Left side of the shaded rectangle = 2x.
- Top side of the unshaded rectangle = x + 8.
- Left side of the unshaded rectangle = x.
The area of the shaded region is calculated as:
Shaded region area = (Top side of the shaded rectangle * Left side of the shaded rectangle) - (Top side of the unshaded rectangle * Left side of the unshaded rectangle)
Substitute the known values in the above equation
Shaded region area = (2x + 7) * (2x) - (x + 8) * (x)
Evaluate the products
Shaded region area = (4x^2 + 14x) - (x^2 + 8x)
Open the bracket
Shaded region area = 4x^2 + 14x - x^2 - 8x
Collect the like terms
Shaded region area = 4x^2 - x^2 + 14x - 8x
Evaluate the like terms
Shaded region area = 3x^2 + 6x
Hence, the area of the shaded region is 3x^2 + 6x
Read more about areas at:
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Finding what percentage is $30 of $600:

So, it is 5% per month.
Converting it to annual: