Polynomials are algebraic expressions that contain more than two terms. AN example would be: f(x) = x^3 + x^2 + x +1. This equation contains three terms, with the 3rd degree as its highest term. It also means that the graph passed three x-intercepts. This depends in the highest degree. So, the first thing you do is plot the intercepts because for sure, the graph will pass there.
Answer:
- 13
- x = 5
Step-by-step explanation:
To find the total distance, we can add.
10 + 3 = 13
Now, we can use 13 to solve for the equation that is the same.
5x - 12 = 13
5x = 25
x = 5
Best of Luck!
Answer:
slope is the gradient of a line. equation of a line and slope intercept form is y = mx + b where m equals the slope of the line and b is is the point on the y-axis that the line crosses. think of slope as the gradient of your stairs at home where The height (rise) of the stair is the y-axis and the length (run) of the stair is along the x-axis. let's say the rise of the stair is 6 in and the run of the stair is 9 in. The slope would then be the rise over the run or in our case 6 in over 9 in simplified that would be ⅔. let's imagine that our slope crosses the y-axis at 6 and our equation would be y = ⅔x + 6
Answer :
step-by-step explanation :
This can be rewritten as:
Now,
The law of indices states that:
It implies that, when dividing two expressions with the same bases, repeat one of the bases and subtract the exponents.
Therefore,
Note: Any non-zero number exponent zero is 1
Also
Hence:
Answer:
Step-by-step explanation:
Notice that 
, which is in indeterminate form, so we must use L'Hôpital's rule which states that 
. Basically, we keep differentiating the numerator and denominator until we can plug the limit in without having any discontinuities:
Now, plug in the limit and evaluate:
Thus,
