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3 years ago

Complete the logical argument by giving a reason for each step.

Mathematics

1 answer:

qwelly [4]3 years ago

5 0

Answer:

A = Distributive Property of Multiplication

B = Addition Property of Equality

C = Subtraction Property of Equality

Step-by-step explanation:

Given:

5(2x - 1) = 9x + 2

The first step is to use the distributive property and multiply 5 to both numbers inside the brackets. So, A will be Distributive property of multiplication, which will result in:

5(2x) - 5(1) = 9x + 2

10x - 5 = 9x + 2

The next step is to add 5 on both sides of the equation. So, B will be the Addition property of equality, which will result in:

10x - 5 + 5 = 9x + 2 + 5

10x = 9x + 7

The next step is to subtract 9x from both sides of the equation. So, C will be the Subtraction property of Equality, which will result in:

10x - 9x = 9x + 7 - 9x

x = 7

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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D. The conclusion is correct because when simplified, both sides of the equation are equivalent

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A. The conclusion is incorrect because there are two solutions to the equation

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4. Three times the difference of a number x and seven is twenty-three minus the sum of three times a number x and two. What is the value of x?

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3 years ago

P+4<10 The solution of the inequality is

pochemuha

$p < 10-4\\p < 6$

P<6 is the solution

Be reminded <> change direction when you divide or multiply by a negative number.

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1 year ago

Could you please help with this question for domain, range, and end behavior? I started it, but I think I'm doing it wrong.

Tanzania [10]

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$\{x\in\re\mathbb{R}\}$

and in interval notation,

$(-\infty,\infty)$

The range, on the other hand, is the set of all possible outputs of a function - here, it's the set of all values f(x) can be. In the case of quadratic equations (equations with an x² term), there will always be some minimum or maximum value limiting the range. Here, we see on the graph that the maximum value for f(x) is 3. The range of the function then includes all values less than or equal to 3. As in inequality, we can say that

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in set notation:

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(this just means "f(x) is a real number less than or equal to 3")

and in interval notation:

$(-\infty,3]$

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3 years ago