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3 years ago

Simplify: 3x - 9 + 13x - 6

Mathematics

2 answers:

nikitadnepr [17]3 years ago

7 0

Hope this help u ...

Vilka [71]3 years ago

7 0

You can sum like terms. Two terms can be summed if they are both constants (i.e. pure numbers) or if they involve the same powers of the same variable.

In this case, 3x and 13x can be summed because they both involve 'x' alone. The sum is

$3x+13x = (3+13)x = 16x$

As for the other two terms, you simply have to sum two numbers, as usual:

$-9-6 = -15$

So, the final answer is

$16x-15$

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[Quick Answer Needed] Which of the following shows the extraneous solution to the logarithmic equation?

Nitella [24]

Answer:

Step-by-step explanation:

Given the logarithmic equation

$\log_4x+\log_4(x-3)=\log_4(-7x+21)$

First, notice that

$x>0\\ \\x-3>0\Rightarrow x>3\\ \\-7x+21>0\Rightarrow 7x$

So, there is no possible solutions, all possible solutions will be extraneous.

Solve the equation:

$\log_4x+\log_4(x-3)=\log_4x(x-3),$

then

$\log_4x(x-3)=\log_4(-7x+21)\\ \\x(x-3)=-7x+21\\ \\x^2-3x+7x-21=0\\ \\x^2+4x-21=0\\ \\D=4^2-4\cdot 1\cdot (-21)=16+84=100\\ \\x_{1,2}=\dfrac{-4\pm 10}{2}=-7,\ 3$

Hence, $x=3$ and $x=-7$ are extraneous solutions

6 0

2 years ago

46 x 53 please show with work or something

lutik1710 [3]

Answer:

2,438

Step-by-step explanation:

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318

212

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2438

6 times 3 is 18. Put the 8 in the ones place and carry the 1 ~ 6 times 5 is 30. Add the carried 1 and you have 31. Put that next to the 8. ~ 4 times 3 is 12. put the 2 under the 1 in 318 and carry the 1. ~ 4 times 5 is 20. Add the carried 1 and you have 21. ~ Put that next to the 2. Now add 318 to 2120 and you have the answer of 12438.

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2 years ago

Ruben sees 14 wheels on a total of 6 bicycles and tricycles. How many bicycles and tricycles are there?

Rina8888 [55]

4 bicycles 2 tricycles
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2 (bike) time 3 (number of wheels on each) = 6
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3 years ago

Read 2 more answers

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Ahat [919]

Answer:

The soda costs 2.20 and the sandwich costs 7.70

Step-by-step explanation:

To find this, set the soda cost as x. We now know that the sandwich cost is 3.5x. Add these together and set equal to 9.90

x + 3.5x = 9.90

4.5x = 9.90

x = 2.20

This is the cost of the soda. Now we can multiply that by 3.5 to get the sandwich cost.

3.5 * 2.20 = 7.70

7 0

3 years ago

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denpristay [2]

Answer:

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Step-by-step explanation:

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3 0

3 years ago