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Vaselesa [24]
3 years ago
8

How many solutions are there to the equation shown below? Explain your answer.*

Mathematics
1 answer:
bazaltina [42]3 years ago
3 0

Answer:

  an infinite number

Step-by-step explanation:

The equation simplifies to ...

  12x -7 = 6x +10 +6x -17 . . . eliminate parentheses

  12x -7 = 12x -7  . . . . . . . .  collect terms

  0 = 0 . . . . subtract (12x-7) from both sides

This is true for all values of x. There are an infinite number of solutions.

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Write down in terms of n, an expression for the nth term
Nimfa-mama [501]

Answer:

a_{n} = - 7n - 1

Step-by-step explanation:

There is a common difference between consecutive terms , that is

- 15 - (- 8) = - 22 - (- 15) = - 29 - (- 22) = - 36 - (- 29) = - 7

This indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 8 and d = - 7 , then

a_{n} = - 8 - 7(n - 1) = - 8 - 7n + 7 = - 7n - 1

7 0
2 years ago
Factor the numbers<br> x^{2} + 13x +36
harina [27]

Answer:

(X+9)(x+4)

Step-by-step explanation:

Find 2 numbers that add to get the middle number and also multiply to get the last number

3 0
3 years ago
Calculate the area of a dart which hits the dartboard with a force of 10 N and pressure of 2000 N/cm^2​
STALIN [3.7K]

Answer:

pressure=force/area

2000. ×area =10

area. =10/2000

area =0.005cm²

3 0
3 years ago
Mr. Marcucci received a bonus of $496 from his employer. He has to pay 33% of his bonus to taxes. How much will Mr. Marcucci pay
tiny-mole [99]
Edit: 33% is not \frac{1}{3}, therefore my solution is wrong. The correct answer is 0.33 x 496, which is $163.68

The following is the original solution, which is incorrect. 
33% = \frac{1}{3}. Multiply the bonus of $496 by \frac{1}{3} to get the solution of \frac{496}{3}, or 165 and \frac{1}{3}

Therefore the solution is $165.33


7 0
3 years ago
Read 2 more answers
There is a bag filled with 4 blue, 3 red and 5 green marbles.
bearhunter [10]

Answer:

1/11

Step-by-step explanation

There are 12 marbles in the bag. When we first pick we have 4 blue marbles. So 4 blue marbles/12 random marbles. When we pick blue and noted, there are 3 marbles in the bag because of we didn't put it back. So when we choose again there are 11 marbles and 3 blue marbles in the bag. Choosing a blue one case is 3/11.

The last part of this case is happening as a chain. So we need to multiply our two answers.

=4/12*3/11

=1/3*3/11

=1/11

7 0
2 years ago
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