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2 years ago

Solve. 11m - 15 -5m= 9

Mathematics

1 answer:

sweet [91]2 years ago

7 0

Answer:

m=4

Step-by-step explanation:

11m - 15 -5m= 9

Combine like terms

6m -15 =9

Add 15 to each side

6m - 15+15 = 9+15

6m = 24

Divide each side by 6

6m/6 =24/6

m = 4

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Write a rule for the nth term of the geometric sequence if r = 1/4 and a3 = 2.

GarryVolchara [31]

Answer:

$a_{n} = 32(\frac{1}{4})^{n-1}$

Step-by-step explanation:

The nth term of a geometric sequence is given by the following equation.

$a_{n+1} = ra_{n}$

In which r is the common ratio.

This can be expanded for the nth term in the following way:

$a_{n} = a_{1}r^{n-1}$

In which $a_{1}$ is the first term.

This means that for example:

$a_{3} = a_{1}r^{3-1}$

$a_{3} = a_{1}r^{2}$

$2 = a_{1}(\frac{1}{4})^{2}$

$2 = \frac{a_{1}}{16}$

$a_{1} = 32$

Then

$a_{n} = 32(\frac{1}{4})^{n-1}$

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3 years ago

Which first step for solving the given system using substitution results in an equation without fractions?

vaieri [72.5K]

The correct answer is solve for y in the second equation.

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Step 2: Subtract the second equation from the first.
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2 years ago

How do I solve (-2/3) (-1.6)

Hatshy [7]

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3 years ago

Read 2 more answers

Which is a right triangle?<br> 10, 13,8<br> 7, 9, 16<br> 4. 8. 12<br> 36, 27, 45

geniusboy [140]

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