The domain of a function are its possible input values
The domain of the function is <em>(b) all real numbers greater than or equal to 0.</em>
From the graph, we have the following observations
- <em>t represents time (it is plotted on the x-axis)</em>
- <em>t starts at 0</em>
- <em>t has no end</em>
The above observations imply that; the domain starts from 0
Hence, the domain of the function is the set of all real numbers greater than or equal to 0.
Read more about domain at:
brainly.com/question/2709928
Answer:
1, 4, 3, 6, 2, 7, 5
Step-by-step explanation:
The circle operator in 
means that the function named on the left (f) operates on the result of the function named on the right (g). So, the notation
means
That is, g(x) is computed and used as input to the function f. When the function definitions are as shown, the evaluation proceeds in these steps.
__
If your step choices at the bottom are numbered 1 to 7 left-to right, then the sequence is as shown in the Answer section above.
Answer:
The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick
Step-by-step explanation:
we have
3/4 in
Verify each value
case A) 13/16 in
we know that
3/4 in=12/16 in ----> multiply by (4/4)
Find the difference
13/16-12/16=1/16 in
case B) 11/32 in
we know that
3/4 in=24/32 in ----> multiply by (8/8)
Find the difference
24/32-11/32==13/32 in
case C) 1/2 in
we know that
1/2 in=2/4 in ----> multiply by (2/2)
Find the difference
3/4-2/4=1/4 in
case D) 3/8 in
we know that
3/4 in=6/8 in ----> multiply by (2/2)
Find the difference
6/8-3/8=3/8 in
<em>Compare the values of the difference and find the less value</em>
we have
case A) 1/16=2/32 in
case B) 13/32 in
case C) 1/4=8/32 in
case D) 3/8=12/32 in
The less value is case A) 2/32 in
therefore
The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick
You find your slope with the equation
(y2-y1)/(x2-x1)
(-1-2)/ -4-1.5)
(-3)/(-5.5)
.54x is your slope
you then plug that into your equation.
y=mx+b
y=.54x+b
you substitute one of our coordinates.
(-4,-1)
-1=.54(-4)+b
-1=-3.45+b
+3.45
2.45=b
your equation is
y=.54x+2.45
standard form
y-.54x=2.45
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx
so
That means it's the equation of a line passing through the origin.
case a) and case d) are discarded because the line does not pass through the origin
<u>case b) we have</u>
for x=2 y=4
y/x=k-------> 4/2=2------> k=2
y=2x-------> in this case the value of y is two times the value of x
<u>case c) we have</u>
for x=4 y=2
y/x=k-------> 2/4=1/2------> k=(1/2)
y=(1/2)x-------> in this case the value of y is one-half of the value of x
therefore
the solution is the case c) see the attached figure
