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2 years ago

(02.01 LC) Simplify 4 over 7 ÷ 3 over negative 8. negative 32 over 21 negative 3 over 14 3 over 14 32 over 21

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

4 0

Answer:

(4/7)÷ (3/-8). Division of fractions is the same as multiplying their reciprocals. So (4/7) x (-8/3). Now multiply the numerators together and denominators together (make sure you only use the negative sign once). (4 x -8) / (7 x 3) = -32/21

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Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37

Mandarinka [93]

Answer:

The general rule is $a_n = -2 - 5(n-1)$

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

$a_{n} = a_1 + (n-1)d$

In which $a_1$ is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

$a_n = a_m + (n-m)d$

a3 = -12 and a8 = -37

First we find the common difference. So

$a_n = a_m + (n-m)d$

$a_8 = a_3 + (8-3)d$

$-37 = -12 + 5d$

$5d = -25$

$d = -\frac{25}{5}$

$d = -5$

$a_n = a_1 - 5(n-1)$

Finding the first term:

$a_n = a_1 - 5(n-1)$

Since $a_3 = -12$

$a_n = a_1 - 5(n-1)$

$a_3 = a_1 - 5(3-1)$

$a_1 = a_3 + 10 = -12 + 10 = -2$

So the general rule is:

$a_n = a_1 - 5(n-1)$

$a_n = -2 - 5(n-1)$

6 0

2 years ago

What number can replace the n in n/12 to make it equivalent to 1/2 ? 6 8 9 10

Ierofanga [76]

Answer:

i believe the answer is 6.

4 0

3 years ago

Read 2 more answers

Please help What is the measure of ∠c?

malfutka [58]

It’s 56 bc a straight line = 180 so 180-124=56

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3 years ago

What is the value of y?

scZoUnD [109]

All angles in triangle inside add up to 180
so

the angles are y, 79,37
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add
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subtract 116 from ot hsides
y=64

angle y=64 degrees

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2 years ago

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IrinaK [193]

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2 years ago