Answer:
=11x+11
Step-by-step explanation:
Combine Like Terms:
=4x+8+7x+3
=(4x+7x)+(8+3)
=11x+11
To begin with, let us look at a few definitions that will help
A relation is a function if each x-value is paired with exactly one y-value. A vertical line test on a graph can be used to determine whether a relation is a function.
If we use a graph to check, we will have
We can see that there is no overlapping of coordinates. The table satisfies the vertical line test.
Hence, it is a function
The domain and range of function is the set of all possible inputs and outputs of a function respectively. The domain and range of a function y = f(x) is given as domain= {x ,x∈R }, range= {f(x), x∈Domain}.
The domain of the function, D is given by
The range, R is given by
Slope intercept form of an equation is:
y = mx + b
where m is the slope and b is the t intercept.
First you must determine the slope of the line. This is a ratio of how fast the line travels up or down vs how fast it is moving to the right. Another name for this is rise over run. The equation to find the slope is:
m = (y1 - y2) / (x1 - x2)
now to find b. We can plug in one of the points of the equation into our first equation along with the slope to get out b value.
So if our 2 points were (2, 3) and (3, 4) we could find slope intercept form like this:
m = (2 - 3) / (3 - 4)
m = -1 / -1
m = 1
Now taking point (2, 3)
3 = 1 * 2 + b
1 = b
Finally to plug our m and b into equation for answer:
y = 1x + 1
However, 1 * anything is redundant therefore:
y = x + 1
Answer:
2x²-2x
Step-by-step explanation:
To find the area of a rectangle, you multiply the sides together.
In this case:
x × 2x-2 = x(2x-2) = 2x²-2x
