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2 years ago

I need the expression

Mathematics

2 answers:

V125BC [204]2 years ago

7 0

Answer:

-7( 8n - m )

- 7 × 8n + 7× m

-56n + 7m

Oksi-84 [34.3K]2 years ago

3 0

What you need to do is the distributive property to start with this problem

-7(8n-m)

Multiply -7 inside the parentheses, which it will turn out to be -56n

Then you should put an addition operation on -7 and -m

-56n+7m

You shouldn’t really do anything else to these variables because they are different. So just leave it to that

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3 years ago

Read 2 more answers

Is the table linear or nonlinear?<br> X 0 1 2 3 <br> Y 2 4 8 16

RideAnS [48]

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It is linear

Step-by-step explanation:

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5 0

2 years ago

Please help me in this questions....

Ivahew [28]

Part (i)

I'm going to use the notation T(n) instead of $T_n$

To find the first term, we plug in n = 1

T(n) = 2 - 3n

T(1) = 2 - 3(1)

T(1) = -1

The first term is -1

Repeat for n = 2 to find the second term

T(n) = 2 - 3n

T(2) = 2 - 3(2)

T(2) = -4

The second term is -4

<h3>Answers: -1, -4</h3>

==============================================

Part (ii)

Plug in T(n) = -61 and solve for n

T(n) = 2 - 3n

-61 = 2 - 3n

-61-2 = -3n

-63 = -3n

-3n = -63

n = -63/(-3)

n = 21

Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).

<h3>Answer: 21st term</h3>

===============================================

Part (iii)

We're given that T(n) = 2 - 3n

Let's compute T(2n). We do so by replacing every copy of n with 2n like so

T(n) = 2 - 3n

T(2n) = 2 - 3(2n)

T(2n) = 2 - 6n

Now subtract T(2n) from T(n)

T(n) - T(2n) = (2-3n) - (2-6n)

T(n) - T(2n) = 2-3n - 2+6n

T(n) - T(2n) = 3n

Then set this equal to 24 and solve for n

T(n) - T(2n) = 24

3n = 24

n = 24/3

n = 8

This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.

<h3>Answer: 8</h3>

4 0

3 years ago