9514 1404 393
Answer:
- asymptotes: x = ±5; y = 0
- zero: x = 0
Step-by-step explanation:
The function will have a zero where the numerator is zero:
5x = 0
x = 0 . . . . divide by 5
The zero of the function is x=0.
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The function will have vertical asymptotes where the denominator is zero:
x^2 -25 = 0
x^2 = 25 . . . . add 25
x = ±5 . . . . . . take the square root
The function will have vertical asymptotes at x = -5 and x = 5.
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When x gets large, the magnitude of the function is approximately ...
5x/x^2 = 5/x
As x approaches infinity, this value approaches zero.
The function will have a horizontal asymptote at y = 0.
Answer:
Alex can only draw a rectangle with an area of 11 cm²
The reason for the answer is that 11 is a prime number
Step-by-step explanation:
We are told that Alex is drawing rectangles with different areas on a centimeter grid, and he can draw 3 different rectangles with an area of 12 cm²
We have the minimum grid length of centimeters = 1 cm, since we assume that only integers can be used.
That is to say:
12 = 1 x 12
12 = 2 x 6
12 = 3 x 4
These are the 3 different rectangles with an area of 12 cm²
Now we have to find how many rectangles Alex could draw with an area of 11 cm²
11 = 1 x 11
Therefore, only one factorization is possible. Which means that you can only draw a rectangle with an area of 11 cm²
The reason for the answer is that 11 is a prime number, which means only the common factor of 1 and the number itself, that is, 11.
Y+3=-36
-3 -3
So Y equals -39
Automobile insurance: 809.50
comprehensive coverage: 64
Based on the note:
subtract 64: 809.50 - 64 = 745.50
multiply by 150% : 745.50 x 1.5 = 1,118.25
add 64: 1,118.25 + 64 = 1,182.25
The new total is 1,182.25
Minus 3 from 35. Do that eight times. Or simply 8x3=24$. 35-24$=11$. 11$ will be charged