The values of x for which the rational expression is undefined are -6 and -8.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a rational function:
As we know in the rational function denominator cannot be zero:
The values of x for which the rational expression is undefined.
x² + 14x + 48 = 0
x = -6, -8
Thus, the values of x for which the rational expression is undefined are -6 and -8.
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Answer:
His collection increased in a 20%.
Step-by-step explanation:
If 100% represents 10 records, what percentage would be for 12 records?
x = 12 100% / 10 = 120%
So, if we subtract 120% - 100%, it's gonna result in a difference of 20%, which means that 12 represents a 20% more, or his collection increased in a 20%.
{8, 16, 24, 32}int.{16, 32, 48}={16, 32}
Answer:
230 cm^2
Step-by-step explanation:
The area of each parallelogram face is ...
A = bh = (8 cm)(3 cm) = 24 cm^2
The area of the two rectangular faces shown is ...
A = (area of top face) + (area of right side face)
A = (8 cm)(7 cm) +(5 cm)(7 cm) = 91 cm^2
The three faces we have figured the area of are half the total area, since there are three more faces exactly the same size. Then the total area of the figure is ...
total surface area = 2(24 cm^2 +91 cm^2) = 230 cm^2
_____
Of course, the area of a rectangle is given by A=L·W, where L and W represent the length and width of the rectangle.
Answer:
Step-by-step explanation:
We have to write 243 as a power of some number.
So, if we factorize 243 we get,
243 = 3 × 3 × 3 × 3 × 3
Therefore, we can write 243 as a power of 3.
No other number can be written in powers of 243 because it do not contain any other factor than 3.
Hence, 243 can be written as :
