Answer:
Option (2).
Step-by-step explanation:
Let f(x) and g(x) are the two functions with domain A and B.
Then (fg)(x) will be the function with domain A∩B
(fg)(x) = f(x)g(x) Domain : A∩B
In this question two functions are,
c(x) = 
and d(x) = (x + 3)
Domain : (x - 2) > 0 ⇒ x > 2
and (x - 2) < 0 ⇒ x < 2
Or domain of (cd)(x) will be C = (-∞, 2)∪(2, ∞).
Similarly, d(x) = x + 3
Domain : All real numbers
: D = (-∞, ∞)
(cd)(x) = c(x)d(x)
= 
Domain of (cd)(x) will be,
Domain : C∩D = (-∞, 2)∪(2, ∞) ∩ (-∞, ∞)
: (-∞, 2) ∩ (2, ∞)
Therefore, domain of (cd)(x) will be all real values except 2.
Option (2) will be the answer.
Answer:
b^5
Step-by-step explanation:
b^ -6 * b^11
We know that a^c * a^d = a^ (c+d)
b^ -6 * b^11 = b^(-6+11)
= b^(5)
Answer:
54.4
Step-by-step explanation:
3.4*16=54.4
100 minus 95 equals 5
25 equals 5%
100 divided by 5 equals 20
20 times 25 equals 500
500 minus 25 equals 475
Answer:475 students present/ 500 students total in school
Answer:
The width is 4 feet
Step-by-step explanation:
Yes, I might be able to answer it! Hello there!
In this question, we are asked to calculate the height of a pool which has a shape of right rectangular prism.
The key to solving this problem is simply by knowing the formula for the volume of a right rectangular prism.
Mathematically the volume V is w * h * l where w , h and l are the width, height and length respectively.
Now let’s input these values and get what the height of the pool is.
It would be easier if you had the measurements are in decimals;
137 1/2 becomes 137.5
6 1/4 becomes 6.25
5 1/2 becomes 5.5
kindly note the fraction 1/2 is 0.5 in decimals while the fraction 1/4 is 0.25 in decimals
So now let’s compute the height;
137.5 = w * 6.25 * 5.5
w = 137.5/(6.25 * 5.5)
w = 137.5/(34.375)
w = 4 feet
