Answer:
a)
Step-by-step explanation:
We have been given a function . We are asked to find the domain of our given function.
We can see that our given function is a rational function and numerator of our given function is a square root.
To find the domain of our given function, we will find the number that will make our denominator 0 and the domain of square root function will be the values of x that will make our numerator non-negative.
Undefined points for our given function:
The domain of denominator is all values of x, where x is not equal to negative 4 and positive 6.
Non negative values for radical:
The domain of numerator is all value of x greater than or equal to negative
Upon combining real regions and undefined points for our given function, the domain of our given function will be all values of x greater than or equal to negative 1, where x is not defined for 6.
Therefore, domain of our given function is .
9514 1404 393
Answer:
perimeter ≈ 12.4 units
Step-by-step explanation:
The side adjacent to the angle is given. The relationships useful for the other two sides are ...
Tan = Opposite/Adjacent
Cos = Adjacent/Hypotenuse
From these, we have ...
opposite = 5·tan(22°) ≈ 2.02
hypotenuse = 5/cos(22°) ≈ 5.39
Then the perimeter is ...
P = a + b + c = 2.02 + 5 + 5.39 = 12.41
The perimeter of ∆ABC is about 12.4 units.
Answer: 0.4013
Step-by-step explanation:
Given : The volumes of soda in quart soda bottles are normally distributed with : 
Let x be the volume of randomly selected quart soda bottle.
z-score : 
The probability that the volume of soda in a randomly selected bottle will be less than 32 oz = 
Hence, the probability that the volume of soda in a randomly selected bottle will be less than 32 oz is 0.4013
Answer:
1) 12h - 10
2) 63m + 54
3) 21z - 12
4) 77w - 54
5) -72n + 28
6) 20y + 63
7) -24g -72
8) -63w + 14
9) -21s
10) -6m -12
Step-by-step explanation:
