Question 1
The given system of equations is:

Equate the two equations:

Rewrite in standard form:




When we put x=0, in y=3x +6, we get:

One solution is (0,6)
When we put x=-2, into y=3x+6, we get:

Another solution is (-2,0)
The solutions are; (0,6) and (-2,0)
Question 2:
The function is

Let us put x=-x,

This gives:

We can observe that:

This is the property of an even function.
Question 3:
The given function is

The average rate of change of f(x) from x=a to x=b is given as:

This is the slope of the secant line connecting the two points on f(x)
From x=2 to x=6, the average rate of change

The average rate of change is 11
If we take 24 h, and think that 150 bolts are produced during 1 hour,
then during 24 hours we will get 150*24 = 3600 bolts.
So, y = 150x represent the number of bolts the machine can produce in x hours.
150 bolts/h, and y =150bolts/h *24 h = 3600 bolts
Answer is B.
The domain is related to the x-value of the function. In this case, the goal of finding the domain is to make sure that the number under the radical sign is positive. The number that makes the function under the radical sign is -2. Hence this is the minimum number and the domain is from -2 to positive infinity.
Answer:
0.47
Step-by-step explanation:
here is a life tip
to turn percents into decimals mmove the decimal point <- that way 2 times
-hope this helps :)
Answer: D
Step-by-step explanation:
I have done it before and got it right