Answer:
Step-by-step explanation:
The given function is
![y=\sqrt[3]{x+8}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7Bx%2B8%7D)
The range refers to the values of y for which x is defined.
We solve for x to obtain;
This is a polynomial function in y.
x is defined for all values of y.
Therefore the range is all real numbers.
or
The first choice is correct.
169 because 13 x 13 = 168
Answer:
2/5 of a mile
Step-by-step explanation:
The easiest approach is to realise that one hour is 3 times longer than
20 minutes. The longer the time, the more they will pave.
2/5 of a mile, in 20 minutes, how much in 60 minutes?(#)
They will pave 3 times more.
2/15 x 3/1 = 6/15 of a mile
6/15 = 2/5 of a mile
3 cookies for pouch because each x and y factor can be divided by 3
Answer:
B. {16, 19, 20}
Step-by-step explanation:
The <em>triangle inequality</em> requires for any sides a, b, c you must have ...
a + b > c
b + c > a
c + a > b
The net result of those requirements are ...
- the sum of the two shortest sides must be greater than the longest side
- the length of the third side lies between the difference and sum of the other two sides
__
If we look at the offered side length choices, we see ...
A: 8+11 = 19 . . . not > 19; not a triangle
B: 16+19 = 35 > 20; could be a triangle
C: 3+4 = 7 . . . not > 8; not a triangle
D: 5+5 = 10 . . . not > 11; not a triangle
The side lengths {16, 19, 20} could represent the sides of a triangle.
_____
<em>Additional comment</em>
The version of triangle inequality shown above ensures that a triangle will have non-zero area.
The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")
