Answer:
0.675
Step-by-step explanation:
27/40
- Divide each number by 10
2.7/4
- Multiply each number by 25
67.5/100
Convert that into a decimal. :)
The graph of a function is given. It is required to find the function that represents the graph.
Notice from the graph that the function has roots or zeros at -3,-2, and 2.
Hence, the function takes the form:
Where a is a constant to be determined.
Notice that the given graph passes through the point (0,-12).
Substitute x=0 and f(x)=-12 into the equation of the function to find a:
Hence, the function is:
<h2>
The third option is the answer: f(x)=(x+2)(x+3)(x-2).</h2>
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.")
Volume of the prism is given by:
Volume=length×width×height
but
V=<span>18x^3+5x^2-2x
V=x(18x^2+5x-2)
V=x(9x-2)(2x+1)
Hence the possible expression for the dimensions of the shipping box is x by (9x-2) by (2x+1)</span>
