Answer:
an = 63(-1/3)^(n-1)
Step-by-step explanation:
This is a geometric sequence with first term 63 and common ratio -1/3.
The equation for the nth term is
an = 63(-1/3)^(n-1).
Locate 1 on the x axis. This is the horizontal number line.
Draw a vertical line through 1 on the x axis. Extend this vertical line as far up and down as you can.
Notice how the vertical line crosses the blue curve. Mark this point. Then draw a horizontal line from this point to the y axis. The horizontal line will touch -4 on the y axis. So that means the point (1,-4) is on the curve.
If the input it is x = 1, then the output is y = -4
So that's why the answer is choice A
Answer:
The numbers are 39 and 14.
Step-by-step explanation:
Equation 1, sum of the numbers:
x + y = 53
Equation 2, difference of the numbers:
x - y = 25
System of equations:
x + y = 53
x - y = 25
----------------
2x = 78
x = 39
Solve for y:
39 + y = 53
y = 14
The numbers are 39 and 14.
Answer:
B= -40
Step-by-step explanation:
So a right triangle has to = 180
So we write the given, which 124+99
we are trying to get 180 so lets subtract that by the equation, 180-124+99
180-(124+99)
12+99=223
180-223
=-43
But in your case it has to be rounded to the nearest tenth
So the answer is -40
Answer:
a. 0
Step-by-step explanation:
1. To find the slope given two points, use the following formula:
2. 
would be the second y-value (in the second ordered pair), 2, and 
would be the first y-value (in the first ordered pair), also 2.
3. Same for the x-values. 
is -2 and 
is 4
4. Now plug in the values.
5. This equals 
which simplifies to 0
