Answer:1/(3+x)=(1/3)
1
(1−(−x/3))
1/(3+x)=(1/3)1(1−(−x/3))
Use this fact that
1/(1−t)=
∑
∞
0
t
n
(∗)
1/(1−t)=∑0∞tn (∗)
where
|t|<1
|t|<1
. I mean take
t=−x/3
t=−x/3
and...
Note that
|−t|=|t|<1
|−t|=|t|<1
is the radius of convergence
Step-by-step explanation:
note that the zeroes should be x = 1 and x = - 2 not x = - 1 and x = 2
the factors are then ( x - 1 ) and (x + 2)
and x³ - 4x² - 7x + 10 = (x - 1 )(x + 2) = x² + x - 2
thus x² + x - 2 is a factor
dividing x³ - 4x² - 7x + 10 by x² + x - 2 gives x - 5
the third zero is x = 5
check : (5)³ -4(5)² - 7(5) + 10 = 125 - 100 - 35 + 10 = 0
Answer:
B. repeating
Step-by-step explanation:
An irrational number written in decimal form will be nonterminating and non-repeating decimals.
For example we have √2 = 1.4142
This rational number is non-terminating and non-repeating.
3 < 3x+6
-3<3x
-1<x
3x+6<24
3x<18
x<6
-1<x<6 the book is right
Solution
For this case we have the following amount: 35 pints
We want to convert this into quarts so we can do this:
Then the answer rounded to the nearest hundredth is:
17.50 quarts
