1a) The domain is a set of all real numbers not equal to 5
1b) The domain is a set of all real numbers not equal to 4
<h3>What is the domain of the function?</h3>
Domain of a function is the set of all possible input values that make the function defined.
1a) We are given the function;
C(x) = -3²/(x - 5)
The domain will be a set of values that makes the denominator not equal to zero. Thus;
The domain is a set of all real numbers not equal to 5
1b) The function is; R(x) = 4x/(3x - 12)
The domain will be a set of values that makes the denominator not equal to zero. Thus;
The domain is a set of all real numbers not equal to 4
2a) Function is;
f(x) = (x + 8)/(2x - 1)
f(2) = (2 + 8)/(2(2) - 1)
f(2) = 10/3
f(0) = (0 + 8)/(2(0) - 1)
f(0) = -8
f(-1/2) = (-1/2 + 8)/(2(-1/2) - 1)
f(-1/2) = -15/4
2b) Function is;
r(t) = (t² + 8)/(t³ - 25t)
r(3) = (3² + 8)/(3³ - 25(3)) = -17/48
r(2) = (2² + 8)/(2³ - 25(2)) = -12/42 = -2/7
r(-1) = ((-1)² + 8)/((-1)³ - 25(-1)) = 9/24 = 3/8
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Hello!
Say that n is the number. There are two parts to this statement. The first part is "four less than three times a number", and the second is "is three more than two times the number. An expression fitting the first part will go on the left side of the equation, and the second part will go on the right.
Look at the first part. "Four less than three times a number". The first thing being done here is the <u>three times a number.</u> This would be 3n, as it is 3 times n. Now, there is the <u>four less</u> part. You would therefore have to subtract 4 from 3n, to get 3n - 4.
Now the second part. "Is three more than two times the number". The first thing being done here is the <u>two times the number</u>. That would be 2n. The next is "is three more than". If the other side is three more than 2n, then you must add 3 to 2n to make them equivalent. Therefore, it would be 2n + 3.
Now, set them equal to each other, and solve.
3n - 4 = 2n + 3
3n - 2n = 3 + 4
n = 7
Therefore, your number is 7.
Hope this helps!
Answer: 4788 pages
Step-by-step explanation:
798/6 hours
798 divided by 6 equals 133. Meaning Hannah read 133 pages in 1 hour. So divide the unit rate by 36. 133 x 36 = 4788 pages in 36 hours.
Answer: 565%
Step-by-step explanation: Convert fraction (ratio) 113 / 20 Answer: 565%
