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3 years ago

Which of the following is a solution to the equation x2-6x+5=0

Mathematics

1 answer:

NeTakaya3 years ago

8 0

Please explain more I don't get whAt your asking

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Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 18 and 144, respec

vova2212 [387]

Given:

second term = 18

fifth term = 144

The nth term of a geometric sequence is:

$\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}$

Hence, we have:

$\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\ \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}$

Divide the expression for the fifth term by the expression for the second term:

$\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}$

Substituting the value of r into any of the expression:

$\begin{gathered} ar\text{ = 18} \\ a\text{ }\times\text{ 2 = 18} \\ Divide\text{ both sides by 2} \\ \frac{2a}{2}\text{ =}\frac{18}{2} \\ a\text{ = 9} \end{gathered}$

Hence, the explicit rule for the sequence is:

$a_n\text{ = 9\lparen2\rparen}^{n-1}$

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1 year ago

Pls answer soon we are timed

tamaranim1 [39]

Answer:

the blue model

20 birds in all

Step-by-step explanation:

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2 years ago

Help! Solve the system of linear equations by substitution. Check your solution.

Nina [5.8K]

-2y=11-x
-7x+11-x=-13
-8x=-24
x=3
-2y=11-3
-2y=8
y=-4

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2 years ago

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Alona [7]

I need more information. Please explain more

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2 years ago

Given h (x) = -2x - 4, solve for x when h (x) =6.

anygoal [31]

Answer:

(x = -20) if what your saying is 6 = -2x - 4 and (x = -16) if what your saying is x = -2 x 6 - 4

Step-by-step explanation:

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2 years ago