Using set builder notation, the domain of the given function is;
{x | x ≠ 5}
<h3>How to find the Domain of a Function?</h3>
The domain is all values of x that makes the given expression undefined.
The given expression is;
y = (1 - 7x)/8 - 1/|3x - 15|
To find the value of x that will make the expression undefined, it means that we will equate the denominator to zero to get;
|3x - 15| = 0
Thus;
3x = 15
x = 15/3
x = 5
Thus, using set builder notation, the domain of the given function is;
{x | x ≠ 5}
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Answer:
23 buses
Step-by-step explanation:
because 738/33 is 22.4... and you can't just leave some kids behind (well, you can, but not in a word problem) so itll be 23 buses with the last one only partially full
Hello there! So, he sells a home worth $270,000 and gets 2.5% of that price as commission. In order to find the amount of commission he gets from selling that home, all you have to do is multiply the price by the percent, because commission is a small portion of the sold price. 270,000 * 2.5% (0.025) is 6,750. There. Jimmy's commission is $6,750.
The volume of the sphere is calculated through the equation,
V = 4πr³/3
Substituting,
900 in³ = 4πr³/3 ; r = 5.99 in
Then, solve for the surface area of the sphere by the equation, SA = 4πr²
SA = 4π(5.99 in)² = 450.80 in²
Thus, in the nearest whole number, SA was calculated to be nearly 451 in².
The correct answers are the x = 6 and x = 0.
In order to find this, we can follow the order of operations.
–4|–2x + 6| = –24
Divide by -4
|–2x + 6| = 6
Since it is now equal to a absolute value, we have to solve for the positive and negative versions of the final answer. Let's start with the positive.
-2x + 6 = 6
-2x = 0
x = 0
Now for the negative
-2x - 6 = -6
-2x = -12
x = 6
These would be your two answers.