Answer:
1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies
2) Now let's consider any real number a no matter positive or negative we will have that:
Or in the other case:
So then we can conclude that the expression is a general rule and is true
Step-by-step explanation:
For this case we can verify if the following expression is true or false:
The sum of x and it’s opposite is always zero?
If we want to proof this we need to show that for any number is true.
1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies
2) Now let's consider any real number a no matter positive or negative we will have that:
Or in the other case:
So then we can conclude that the expression is a general rule and is true
You need to use the distributive property. So you take the -9 from outside the parentheses and multiply itself by the numbers inside.
Answer:
a) None
b) (0, -2)
Step-by-step explanation:
The x-intercept is the point at which the line cuts through the x-axis, while the y-intercept in the point at which the line cuts through the y-axis.
a) The line does not cut through the x-axis, thus it has no x-intercept.
b) The line cuts through the y-axis at y= -2, making its y-intercept (0, -2).
Answer:
B) (0, 2)
General Formulas and Concepts:
- Reading a Cartesian Plane
The y-intercept is the y-value when x = 0. It is also when the graph crosses the y-axis.
Step-by-Step Explanation:
According the the graph given, the graph crosses the y-axis at 2. Therefore, when x = 0, y = 2, and we have our y-int.
Answer:
12.496
Step-by-step explanation:
Here, to calculate the sum of the first five terms of the series, we use the formula for the sum of terms in a geometric series.
Mathematically, that would be;
Sn = a(1-r^n)/1-r
where Sn = ?
a = 10
r = 1/5 = 0.2
n = 5
Substituting these values into the equation above, we have;
Sn = 10(1-(0.2)^5)/1-0.2
Sn = 10(0.99968)/0.8
Sn = 12.496
