Answer:
The domain for x is all real numbers greater than zero and less than 5 com
Step-by-step explanation:
<em><u>The question is</u></em>
What is the volume of the open top box as a function of the side length x in cm of the square cutouts?
see the attached figure to better understand the problem
Let
x -----> the side length in cm of the square cutouts
we know that
The volume of the open top box is
we have
substitute
Find the domain for x
we know that
so
The domain is the interval (0,5)
The domain is all real numbers greater than zero and less than 5 cm
therefore
The volume of the open top box as a function of the side length x in cm of the square cutouts is
Answer:
y=6
Step-by-step explanation:
The equation of the line with slope 2 is y=2x+b, b is a constant which should be determined. The line passes via through points (1, 2) and (3,y)
(1, 2): 2=2+b --> b=0
So, the equation of the line is y=2x. Now, when x=3, y=6. So the line y=2x passes through points (1, 2) and (3, 6). (3,y)=(3, 6).
Answer:
Step-by-step explanation:
Use the Law of Cosines to find the measure of angle A from the lengths of the sides.
A = arccos[(b²+c²-a²)/(2bc)] ≅ 29.9°
B = arccos[(a²+c²-b²)/(2ac)] ≅ 54.8°
C = 180 - A - B = 95.3°
If (a, b) is on the graph of a function f(x), then (b, a) is on the graph of the inverse.
We have points on the graph of a function: {(-3, 9), (-1, 1), (0, 0), (2, 4)}.
The points on the graph of the inverse: {(9, -3), (1, -1), (0, 0), (4, 2)}.
<h3>Answer: (4, 2), (0, 0), (1, -1).</h3>
So n will be the unknown, and the expression is:
6n = 24
from where we can find the number n:
n = 24/6
n = 4
