To factor both numerator and denominator in this rational expression we are going to substitute
with
; so
and
. This way we can rewrite the expression as follows:
Now we have two much easier to factor expressions of the form
. For the numerator we need to find two numbers whose product is
(30) and its sum
(-11); those numbers are -5 and -6.
and
.
Similarly, for the denominator those numbers are -2 and -5.
and
. Now we can factor both numerator and denominator:
Notice that we have
in both numerator and denominator, so we can cancel those out:
But remember than
, so lets replace that to get back to our original variable:
Last but not least, the denominator of rational expression can't be zero, so the only restriction in the variable is
Answer:
220 N * m or 220 J
Step-by-step explanation:
We have that the work formula would be the applied force multiplied by the distance traveled, that is:
W = F * d
In this case the F is 200 N and the distance is 1.1 meters, therefore we replace:
W = 200 * 1.1
W = 220 N * m = 220 J
Therefore the work carried out by Clarissa and her mom is 200 joules.
Answer:
No one person invented percentages. The concept developed throughout history. In Ancient Rome mathematical computation were expressed in fractions of 100.
Step-by-step explanation:
The term has been attributed to Latin per centum. The concept of considering values as parts of a hundred is originally Greek. The symbol for percent (%) evolved from a symbol abbreviating the Italian per cento. In some other languages, the form procent or prosent is used instead.
Hope this helps
It would be part b would be the answer yes