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GrogVix [38]
3 years ago
14

Every valid argument with true premises has a true conclusion. Rewrite the above statement in the form V[x] x, if [y] then [z] (

where each of the second and third blanks are sentences involving the variable x):
Mathematics
1 answer:
just olya [345]3 years ago
4 0

Answer:

Let y(x)="x is valid and x has true premises" and z(x)="x has a true conclusion".

Step-by-step explanation:

The universe U is the collection of all arguments so that x∈U. The statement uses the universal quantifier ∀ represented by the word "Every". The words "valid", "with true premises" and "has a true conclusions" are properties of an argument x.

We can interptet the statement as: "For all x, (x is valid and x has true premises)→(x has a true conclusion)". Symbolically, (∀x)(y(x)→z(x)). The implication → can be read as "if y(x) then z(x)".

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bagirrra123 [75]
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Now we know that he must pay $11.00 10.87 times each month, so the last thing we are going to do to find his monthly payment is multiply both quantities:
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4 0
3 years ago
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Find the equation of the line passing through the points -2x+1 (8,2)
Harrizon [31]

The line that passes through (-2, 1) and (8, 2) is:

y = (1/10)*x + 12/10

<h3>How to find the equation of the line?</h3>

I assume you want to find the equation of the line that passes through (-2, 1) and (8, 2).

A general linear equation is written as:

y = a*x + b

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

a = \frac{y_2 - y_1}{x_2 - x_1}

In this case, we know that it passes through (-2, 1) and (8, 2), then:

a = \frac{2 - 1}{8 - (-2)} = 1/10

Then the line is:

y = (1/10)*x + b

To find the value of b, we use one of the given points, for example if we use (8, 2), it means that when x = 8, we must have y = 2.

2 = (1/10)*8 + b

2 - 8/10  = b

20/10 - 8/10 = b

12/10 = b

Then the linear equation is:

y = (1/10)*x + 12/10

If you want to learn more about linear equations:

brainly.com/question/1884491

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2 years ago
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Answer:

             

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Step-by-step explanation:

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Black_prince [1.1K]

Answer: 9

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

Keeping on mind that:

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Now, you can add all the numbers shown above. Therefore, you obtain the following sum:

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