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
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The lion cub gains 5 pounds <em>every</em> month
4 months has past, so 5 x 4 = 20
41 + 20 = 61
The cub will weigh 61 pounds 4 months from now
hope this helps
keeping in mind that
x = percent rate for the 17000 investment.
y = percent rate for the 11000 investment.
so the amount for the 17000 interest will just be (x/100) * 17000, or namely 170x.
and the amount of interest earned for the 11000 is (y/100) * 11000, or just 110y.
now, regardless of what "x" and "y" are, we know that the interest from the 17000 is higher by 308 bucks, therefore 170x = 110y + 308.
we also know that the rate of <u>x</u> is higher as well than <u>y</u> by 0.4%, so then x = y + 0.4.
Answer:
58515360 in ^3
Step-by-step explanation:
length * width * height
Answer:
Option (4)
Step-by-step explanation:
If we plot the points given in the table attached,
We can get the graph of an absolute function with the line of symmetry as,
x = 4
Let the equation of the parent function (of the absolute function) is,
y = m|x| [Line of symmetry x = 0]
here m = speed of the car = 60 mph
so the equation will be in the form of y = 60|x|
Since, line of symmetry is x = 4, parent function has been translated by 4 units to the right.
So the equation of the transformed function will be,
y = 60|x - 4|
If the car is at 150 miles, equation to determine the driving time will be,
150 = 60|x - 4|
Option (4) will be the answer.