Answer:
Option a. convergent: A
Step-by-step explanation:
a0=3/2
a1=9/8
a2=27/32
a1/a0=(9/8)/(3/2)=(9/8)*(2/3)→a1/a0=3/4
a2/a1=(27/32)/(9/8)=(27/32)*(8/9)→a2/a1=3/4
r=a1/a0=a2/a1→r=3/4
The abosute value of r= !r! = !3/4! = 3/4 = 0.75<1, the series is convergent
Answer:
see below
Step-by-step explanation:
12(80 – x) = 816
Divide each side by 12
80-x = 816 /12
80-x = 68
Subtract 80 from each side
80-x-80 = 68-80
-x = -12
Multiply each side by -1
x = 12
James earned 80-12 = 68
Equation of a line in standard form is Ax + By = C
A is a pos. integer and B + C are integers
1) multiply all terms in the equation by 2
2y = x - 6
2) subtract 2y from both sides
2y - 2y (cancelled out) = x - 2y - 6
x - 2y - 6 = 0
3) add 6 to both sides
x-2y = 0 +6 (-6 and +6 cancel out)
therefore,
x - 2y = 6
is the equation in standard form
Answer:
The answer is
Speed of the boat in still water= 12mph
Speed of current= 9mph
Step-by-step explanation:
<em>let x= speed of the boat in still water</em>
<em>let y= speed of current</em>
<em></em>
<em>DATA WE HAVE</em>
<em>with current </em>
<em>rate- x+y </em>
<em>time- 6 hours</em>
<em>distance- 126 miles</em>
rate= 126/6= 21
against current
rate- x-y
time- 42hr
distance- 126 miles
126/42= 3
Now, we add these two equations vertically.
<em>x-y=3</em>
<em>+</em>
<em>x+y=21 </em>
<em>2x = 24</em>
<em>Now we divide each side by 2</em>
<em>2x/2 24/2</em>
<em>x= 12</em>
<u><em>The speed of the boat in still water is 12mph</em></u>
<em></em>
<em>NOW WE HAVE HALF OF THE ANSWER</em>
if x+y= 21
then
12+y=21
subtract 12 from both sides
y=9
<em><u>The speed of the current is 9mph</u></em>
<em><u /></em>
<em><u>Checking)</u></em>
<em><u>12+9=?21</u></em>
<em><u>21=21</u></em>
<em><u>12-9=?3</u></em>
<em><u>3=3</u></em>
<em><u /></em>
I hope this helped! If you have any questions, dm me on insta celinesaydawi
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Answer:
slope 3/1
Step-by-step explanation:
Using a graphing calculator (desmos), input the points. Do rise over run and you'll get 3/1