Answer:
(A) 2 3/10
(B) 1 7/15
Step-by-step explanation:
(A) Add the gallons he collected together to get the total amount of milk he started with: 4/5 + 6/8 + 3/4 = 2 3/10 gallons of milk.
(B) Take that number, 2 3/10, and subtract the amount of milk he has left to get the amount of milk he used. 2 3/10 - 5/6 = 1 7/15
Answer:
m=-23/10
Step-by-step explanation:
-2 67/90=-247/90
m-4/9=-247/90
m=-247/90+4/9
m=-247/90+40/90
m=-207/90
m=-23/10
Answer:
(7, 24, 26)
Step-by-step explanation:
A Pythagorean triple must have an odd number of even numbers. The triple (7, 24, 26) is not a Pythagorean triple.
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<em>Additional comment</em>
For an odd integer n, a triple can be formed as ...
(n, (n²-1)/2, (n²+1)/2)
That is, the following will be Pythagorean triples.
- (3, 4, 5)
- (5, 12, 13)
- (7, 24, 25)
- (9, 40, 41)
- (11, 60, 61)
Another series involves even numbers and numbers separated by 2:
(2n, n²-1, n²+1)
- (8, 15, 17)
- (12, 35, 37)
- (16, 63, 65)
In this list, if n is not a multiple of 2, the triple will be a multiple of one from the odd-number series.
It is a good idea to remember a few of these, as they tend to show up in Algebra, Geometry, and Trigonometry problems.
Answer:
See explanation
Step-by-step explanation:
1. From the graph of absolute value function:
a. The domain is 
b. The range is 
c. The graph is increasing for all 
d. The graph is decreasing for all 
2. From the graph of quadratic function:
a. The domain is
b. The range is ![y\in (-\infty,0]](https://tex.z-dn.net/?f=y%5Cin%20%28-%5Cinfty%2C0%5D)
c. The graph is increasing for all
d. The graph is decreasing for all
