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Nutka1998 [239]
3 years ago
10

Solve, using the substitution method.

Mathematics
1 answer:
Finger [1]3 years ago
8 0
Y=7-2x
14-4x=2(7-2x)
14-4x=14-4x

C.infinite number
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Does this diverge or converge?
olga2289 [7]

Answer:

L = 7/6 , and the correct option is B, the series diverges.

Step-by-step explanation:

Here we have that:

an = \frac{(3n + 3)*7^n}{6^{n+4}}

Now we want to see the quotient test, then we need to do find the value of the quotient as n tends to infinity. Then we first need to find the quotient:

a(n + 1)/a(n) = \frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}

We can simplify the right part to get:

\frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}=  \frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}

\frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}= \frac{(3n + 3 + 3)*7}{(3*n + 3)*6}

Now we want to find the limit of this as n goes to infinity, we can see that both parts will tend to infinity, then we need to use the Lhopital rule and find the limit of the quotient of the first derivatives.

The first derivatives are:

For the denominator: (3*6)

For the numerator: (3*7)

Then we need to find the limit as n goes to infinity to:

\frac{3*7}{3*6} = \frac{7}{6}

But this does not depend on the value of n, then the limit is just 6/7.

L = 7/6

And 7/6 > 1.

Then we can conclude that our series diverges.

3 0
3 years ago
PLEASE HELP ME OUT.
Ugo [173]
First get into y-int form:
y=−<span><span>2x/</span>3</span>+<span><span>5/3
fill in y point:
</span></span>-3 = −<span>2/3(9) + b
b= 3
so
</span>y= −2/3(x) + 3
5 0
3 years ago
Nevaeh conducted a scientific experiment. For a certain time, the temperature of a compound rose 2 1/4 degrees every 1 4/5 hours
Effectus [21]

Answer:

To find the amount the temp rose in one hour, you divide 24 by 14.

24. 5. 12

—- ~1.7, or 1—, or —-

14. 7. 7

I hope this helped ^.^

Have a good day mate^.^

May i also have brainliest? <3

7 0
2 years ago
Read 2 more answers
⦁Your bank account has in it. you deposit $5 per day.⦁how much money is in your account after 5 days? show your work.⦁after you
Semmy [17]
After 5 days of depositing 5 dollars, you will have 5 x 5= 25 dollars
if you continously withdraw 2 dollars per day after all the deposits, you will withdraw for 25/2= 12.5days
8 0
4 years ago
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Find the slope of each graph. Express the answer in simplest form.help ​
Licemer1 [7]

Answer:

I think the slope is, as a point on the graph, (0,4).

Step-by-step explanation:

4 0
3 years ago
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