Notice that we can calculate the area of the square and the rectangle separately to get the following:

therefore, the total area is 27 in^2
Jackie wants to justify that f(x) = 2x - 6 is a linear function.
Lets assume some values for x and find out f(x)
We make a table with x values 1, 2, 3, 4 and find f(x)
To find f(x) we plug in x value in the given equation
x f(x)
1 2(1)-6 = -4
2 2(2)-6 = -2
3 2(3)-6 = 0
14 2(4)-6 =2
for f(x) we got -4, -2, 0 , 2
The value of f(x) is increasing by 2. There is a constant increase in f(x)
When there is a constant rate of increase then it is a linear function
constant rate of increase that is slope = 2. Hence f(x) = 2x -6 is a linear function.
The answer is 21.
First you Add both AB and BC which is 10x +14. Then you put 64 into the equation. 10x+14=64. Subtract 14 from 64 which is 50. So 10x=50. Then divide 10 from 50. which would be x=5. So if you plug it in. It would be 21.
L'Hopital rule only applies to indeterminate cases of 0/0 or ∞/∞ or 0*0 or ∞ * ∞.
and you'd need to make the expression a rational, where the numerator and denominator gives you 0/0 or ∞/∞, then you apply L'Hopital.
the only candidate there is
First find the secant line. The slope of the secant line through

(when

) and

(when

) is the average rate of change of

over the interval
![[-1,2]](https://tex.z-dn.net/?f=%5B-1%2C2%5D)
:

The tangent line to

will have a slope determined by the derivative:

Both the secant and tangent will have the same slope when

, or when

.