Answer:
1015 widgets
Step-by-step explanation:
First investigate how many widgets can machine A produce in 1 hour:
If it produces 435 in 3 hours, then it will produce one third of that in one hour:
In ONE (1) hour 
widgets
Therefore in seven (7) hours it will produce seven times the amount it does in one hour, that is:
widgets
Length = x - 2
Width = x - 5
Explanation:
Area = x^2 - 7x + 10
Area = (x - 2)(x - 5)
Area = Length x Width
Length = x - 2
Width = x - 5
Answer:
x² + 18x +81
x² - 14x +49
4x²- 4x - 1
Step-by-step explanation:
multiply the x in the first parentheses by x and 9 in the other parentheses and
multiply the 9 in the first parentheses by x and 9 in the other parentheses and add all together
(x+9)(x+9)
x² + 9x + 9x + 81
x² + 18x +81
multiply the x in the first parentheses by x and -7 in the other parentheses and multiply the -7 in the first parentheses by x and -7 in the other parentheses and add all together
(x-7)(x-7)
x² -7x - 7x +49
x² - 14x +49
(2x-1)² is the same as (2x-1)(2x-1)
multiply the 2x in the first parentheses by 2x and -1 in the other parentheses and multiply the -1 in the first parentheses by 2x and -1 in the other parentheses and add all together
(2x-1)(2x-1)
4x²-2x-2x+1
4x²- 4x - 1
Answer:
First equation is -425
Second equation is 11.25
Step-by-step explanation:
First equation we can write as
computing
When i=0 -> 
When i=1 -> 
...
When i=7 -> 
then replacing each term we have
For the second equation we'll have 9 terms, solving in a similar fashion
When i=1 -> 
When i=2 -> 
When i=3 -> 
...
When i=9 -> 
So we have 0.25 + 0.50 + 0.75 + 1.00 + 1.25 + 1.50+ 1.75 +2.00 +2.25
