Answer:
x= -3/5
Step-by-step explanation:
4x-2y=14
y=12x-1
4x-2(12x-1)=14
4x-24x+2=14
4x-24x=12
-20x=12
×= -12/20
x= -3/5
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
Answer:
Hence the answer to 2 decimal places becomes 55.99
Step-by-step explanation:
SOLUTION
We want to solve:
13.997×4 to 2 decimal places
Now:
13.997×4=55.988
Now, 55.988 to decimal places, after the decimal point, we count the first two numbers, which are 9 and then 8. Then check the number after the 8, is it up to 5? Yes, it is, because it is 8. Now change the 8 to 1 and add it to that second number after the decimal point, this gives nine.
Hence the answer to 2 decimal places becomes 55.99
Lateral surface area of a cylinder: 2πrh, r is the radius, h is the height.
area of the top and bottom circle: πr²
when h=2r, the total surface area is:
2πr(2r)+πr²+πr²=6πr²
the answer is 6πr²