Answer:
x=4
Step-by-step explanation:
To solve for x, use inverse operations:
-8x+3 = -29 Subtract 3 from both sides
-8x +3 -3 = -29 -3
-8x = -32 Divide both sides by -8
x = 4
I answered ALL your 15 problems. Sorry, I took long.
Please mark me brainliest if this helped you. That will help me a lot ...
I hope it helps!
By definition the area of a rectangle is:
A = w * l
The perimeter is:
P = 2w + 2l
Where,
w: width
l: long
Substituting values:
300 = w * l
80 = 2w + 2l
Solving the system of equations we have:
l = 30 m
w = 10 m
Answer:
The length and width of the field are:
l = 30 m
w = 10 m
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