For this case we have a function of the form:
Where,
m: slope of the line
b: cutting point with the y axis.
The line cuts to the y-axis at the point:
Therefore, the value of b is given by:
We now look for the slope of the line.
For this, we use the following equation:
Substituting values we have:
Rewriting:
Then, the equation of the line is:
Answer:
the rule that matches the function shown in the graph is:
Answer:
A
I hope this will help you.
Answer:
Step-by-step explanation:
Area = length * width
length: x + 3
width: x - 5
A = (x + 3)(x - 5)
Simplify (x + 3)(x - 5) using the FOIL method:
1. First numbers: multiply the first number of each binomial together--x*x = x%5E2
2. Outer numbers: multiply the outer number of each binomial (out of the entire expression, the number farthest to the left (x) and the number farthest to the right (-5))--x*-5 = -5x
3. Inner numbers: multiply the inner number of each binomial--3*x = 3x
4. Last numbers: multiply the last number of each binomial--3*-5 = -15
==> Now, add all of the results together and combine like terms: x%5E2+-+5x+%2B+3x+-+15 = x%5E2+-+2x+-+15
Therefore, A = x%5E2+-+2x+-+15
Answer:
(5x-7)(9x²-4x-8)
=5x(9x²-4x-8)-7(9x²-4x-8)
=45x³-20x²-40x-63x²+28x+56
=45x³-83x²-12x+56