A vertical asymptote is what you get when you try to divide by 0. To find where you get these, you need to look at the denominator and what values of x will make the denominator equal to 0.
In your denominator, you have (x+7)(x-5)(x-3).
What values of x makes (x+7)(x-5)(x-3)=0?
If x = -7, if x = 5, or if x = 3, then that entire expression will equal zero. (Same idea as when you solve equations by factoring.
Now the only place this can get trickier is if one of those factors — one of (x+7), (x-5), or (x-3) — also appears in the numerator. If that happens, then it’s more involved whether you have an asymptote or not. But that doesn’t happen in this example.
So the short version: Asymptotes happen when you try to divide by zero. Dividing by zero is not a good thing. So you just ask yourself, “What will make the denominator 0?”
ANSWER
A.
EXPLANATION
The parent function is
![f(x) = \sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%7D%20)
This function is transformed to obtain
![g(x) = \sqrt[3]{x + 2} - 4](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20%2B%202%7D%20%20-%204)
The +2 is a horizontal translation, that shifts the graph of the parent function to the left by 2 units.
The -4 is a vertical translation, that shifts the graph of the parent function down by 4 units.
The correct option is A.
B...........................
Hello!
Significant digits are defined as all digits that determine the value of a number, excluding any zeros that act as placeholders. Let's find the number of significant digits in each option individually:
A. 0.0009462 = 4 significant digits (the zeros are placeholders)
B. 1.000150 = 7 significant digits
C. 2.0145 = 5 significant digits
D. 3.01255 = 6 significant digits
Looking at the list above, we can see that Option B has the greatest number (7) of significant digits.
The answer is Option B.
I hope this helps!
Answer:
<em>90 degree</em>
Step-by-step explanation:
Three points A, B, and C are added and shown in attached picture.
As the property of inscribed angle in circle:
angle BAC = (1/2) x 88 = 44 deg
As the property of complement angle:
angle ABC = 180 - 89 = 91 deg
As the property of sum of three angles in a triangle:
angle ACB + angle ABC + angle BAC = 180 deg
=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg
One more time, we use the property of inscribed angle in circle:
x = 2 x angle ACB = 2 x 45 = 90 deg
Hope this helps!
