Answer:
Step-by-step explanation:
How many 3/8 are in 5/4? We can set this number as x. Therre are x number of 3/8 that make up 5/4:
Therefore the PART A is: x* 3/8 = 5/4
On the other hand, 5/4 / 3/8 = x (this is just the reverse of what I mentioned earlier)
<em>I hope this helps! :)</em>
Answer:Definition area"? Do you mean the "natural domain" of the function- the region in which the formula is defined? In order that a number have a square root that number must be non-zero.
Step-by-step explanation:Here, we must have x−1x≥0.
If x is positive, multiplying both sides by x we have x2−1=(x−1)(x+1)≥0. In order for that to be true, both x- 1 and x+ 1 must have the same sign: either x-1> 0 and x+ 1> 0 or x- 1< 0 and x+ 1< 0. The first pair of inequalities is true for x> 1 and the second for x< -1. Since "x is positive", we must have x> 1.
If x is negative, multiplying both sides by x we have x2−1=(x−1)(x+1)≥0. In order for that to be true, x- 1 and x+ 1 must have opposite signs: x+ 1> 0 and x- 1< 0 or x- 1<0 and x- 1> 0. The first pair is true for −1≤0≤1. The second pair are never both true. Since "x is negative" we must have −1≤x≤0.
Of course, we also cannot divide by 0 so x= 0 is not in the domain. The domain is the union of the two separate sets:{x|−1≤x<0}∪{x|x>1}.
Hope That Helps!
Answer:
Step-by-step explanation:
The difference of two squares:
a²-b² = (a - b) ( a + b)
a²-b² = a² + ab -ab +b²
2 cups is a pint, 2 pints is a quart, 4 quarts is a gallon. So, 4 quarts multiplied by 15. 4*15= 60 quarts of lemonade
