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Aleonysh [2.5K]
3 years ago
5

PLS HELP ME WITH THIS QUESTION.I AM LITERALLY DYING!!I WILL GIVE BRAINLIEST AND 45 POINTS!!The following equation is an example

of a literal equation. 2 ( x + a ) = 4 b A. Solve the given equation for the variable a . In your final answer, include all of your work. B. In two or more complete sentences, explain the specific process that you followed in solving​
Mathematics
1 answer:
Hitman42 [59]3 years ago
3 0

Let's solve for a.2(x+a)=4bStep 1: Add -2x to both sides.2a+2x+−2x=4b+−2x2a=4b−2xStep 2: Divide both sides by 2.\frac{2a}{2} =\frac{4b-2x}{2} \\a=2b-x\\Answer:a=2b−x

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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

So

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
3 years ago
Solve the matrix equation below
Ket [755]

Answer:

  • We need to distribute the values
  • Hence [-4 0: 0 - 2 ] +[0 -3: 5 -4] X + [ 0 -3: 5 -4 ] = [19 -27 : 10 -24]
6 0
3 years ago
yes was walking along the road at 5 mph and was 17 miles away from his destination. no was walking at 7 mph but was 22 miles awa
yarga [219]
17 miles / 5 mph = 3.4 hours

22miles / 7 mph = 3.14 hours

No would arrive before yes
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3 years ago
A bag has yellow, red, green, blue, black, and white marbles. There are 5 of each color in the bag. What fraction of the marbles
Ahat [919]

Answer:

2/3

Step-by-step explanation:

Have a great day

8 0
3 years ago
Shirley has to travel 1600 meters to get to school. How many dekameters does she have to travel?
Mekhanik [1.2K]
Shirley has to travel 160 dekameters. 
4 0
3 years ago
Read 2 more answers
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