Answer:
x = 5.5
y = - 6.5
Step-by-step explanation:
Let one of the numbers = x
Let the other number = y
x + y = - 1
x = y + 12 Put the second equation into the first one
y + 12 + y = - 1 Subtract 12 from both sides
y + y = - 1 - 12 Combine both left and right sides
2y = - 13 Divide by 2
2y/2 = - 13/1
y = - 6.5
x + y = - 1
x - 6.5 = - 1 Add 6.5 to both sides
x = 5.5
As you increase the subintervals the area will be closer and closer to the real value. In other words your approximation gets better.
As you increase the intervals, there will be more rectanagles and the added area of these rectangles are converging towards the actual area under the curve.
225/5 = 45
This means the parents gave her five dollars forty five times. If they gave her a five every time she saved one dollar, you just have to multiply the money she saved each time and the number of times she saved it, and you'll get the answer.
Wendy saved $45 by herself
Answer:
The 53rd term of this arithmetic sequence is -805.
Step-by-step explanation:
The general rule of an arithmetic sequence is the following:

In which d is the common diference between each term, that is,
.
To find the nth term of the sequence, this equation can be written as:

27,11, -5
So ![a_{1} = 27, a_{2} - a_{1} = 11 - 27 = -16[/tex[tex]a_{n} = a_{1} + (n-1)d](https://tex.z-dn.net/?f=a_%7B1%7D%20%3D%2027%2C%20a_%7B2%7D%20-%20a_%7B1%7D%20%3D%2011%20-%2027%20%3D%20-16%5B%2Ftex%3C%2Fp%3E%3Cp%3E%5Btex%5Da_%7Bn%7D%20%3D%20a_%7B1%7D%20%2B%20%28n-1%29d)

The 53rd term of this arithmetic sequence is -805.