The linear functions are:
y = 6x - 2
x + y = 12
y = x
The non-linear functions are:
y = 3x³ + 5
y = x² - 33
Explanation:
Linear functions can be written in the form y = mx+b, where m is the slope and b is the y-intercept. In linear functions, the x variable has at highest an exponent of 1.
The first equation, y = 6x - 2, is in slope-intercept form; it is linear.
The second equation, y = 3x³ + 5, has an x with an exponent greater than 1; it is non-linear.
The third equation, y = x² - 33, has an x with an exponent greater than 1; it is non-linear.
The fourth equation, x + y = 12, can be written as y=mx+b:
x+y=12
Subtract x from both sides:
x+y-x=12-x
y = -x+12
This is a <span><u><em>linear </em></u></span>function.
The <u>fifth </u>equation, y = x, is in the form y=mx+b; in this case, m=1 and b=0. This is <u><em>linear</em></u>.
In a cylinder
height,h=40inches
diameter,d=16inches
radius,r=16/2
=8inches
so, by formula,
volume,v= πr^2h
=22/7*8*8*40
=8045.71 cubic inches
The length is 30ft and width is 12ft depth 6ft this should help
Answer:
A. 
Step-by-step explanation:
We have that, ΔABC is transformed to get ΔA''B''C''.
We see that the following transformations are applied:
1. Reflection across x-axis i.e. flipped across x-axis.
Now, ΔABC is reflected across x-axis along the line AC to get ΔA'B'C'.
2. Translated 2 units down i.e. shifted 2 units down and and then translated 6 units to the left i.e. shifted 6 units to the left.
So, ΔA'B'C' is translated 2 units downwards and 6 units to the left to get ΔA''B''C''.
Hence, the sequence of transformations is Reflection across x-axis and then Translation of 2 units down and 6 units left.
Answer:
5 MPH
Step-by-step explanation:
10 miles at what speed , in MPH ? at 5 MPH he would cover 10 miles in 2 hours... does that make sense?