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pantera1 [17]
3 years ago
6

Which is an example of deductive reasoning?

Mathematics
2 answers:
Vladimir79 [104]3 years ago
8 0

Answer:

<h2>All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.​</h2>

Step-by-step explanation:

The last proposition shows an actual deductive reasoning.

Remember that deductive reasoning refers to the process of reasoning, where based on a premise or a certain number of them, and we conclude or deduct something.

In this case, we know the premise is "all even numbers are divisible by 2". Now, 18 is even, so based on the premise, 18 is divisible by 2, because it's a given number.

Therefore, a valid deductive reasoning is shown in the last proposition.

malfutka [58]3 years ago
4 0

Answer:

All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.​

Step-by-step explanation:

Deductive reasoning is finding logical conclusions from the given statements .

In this case we have the statement that all even numbers are divisible by 2, so it is logical to conclude that if 18 is an even number, it must be divisible by 2. This reasoning is logical because the argument specifies that ALL even numbers are divisible by two, so regardless of which even number is chosen it will be divisible by 2.

On the contrary, the other options are examples of inductive reasoning, which is to make generalizations from specific observations.

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Answer:

B) (0,1)

Step-by-step explanation:

The line crosses the y-axis at (0, 1), so that makes (0, 1) the y-intercept.

Hope this helps!

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3 years ago
Evaluate A^2-B^2 for A=3 and B=-4.
MAXImum [283]

Answer:

7

Step-by-step explanation:

3^2 = 9

(-4)^2 = 16

16-9= 7

4 0
3 years ago
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Paha777 [63]
The answer to this problem is 8 I believe. I hope you do good





3 0
3 years ago
SOLVE FOR X??? <br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%20%2B2%20%3D%5Cfrac%7Bx%7D%7B4%7D%2B3" id="TexFor
natima [27]

Answer:

\boxed{ \bold{ \boxed{ \sf{1. \:  \:  \:  \:  \: x = 12}}}}

\boxed{ \bold{ \boxed{ \sf{2. \:  \:  \:  \:  \: x = 3}}}}

Step-by-step explanation:

\sf{1. \:  \:  \:  \:  \frac{x}{3}  + 2 =  \frac{x}{4}  + 3}

Move x / 4 to left hand side and change its sign

Similarly, move 2 to right hand side and change it's sign

\longrightarrow{ \sf{ \frac{x}{3}  -  \frac{x}{4}  = 3 - 2}}

Take the L.C.M of 3 and 4

L.C.M of 3 and 4 = 12

\longrightarrow{ \sf{ \frac{x \times 4 - x \times 3}{12}  = 3 - 2}}

\longrightarrow{ \sf{ \frac{4x - 3x}{12}  = 3 - 2}}

\longrightarrow{ \sf{ \frac{x}{12}  = 3 - 2}}

Subtract 2 from 3

\longrightarrow{ \sf{ \frac{x}{12}  = 1}}

Do cross multiplication

\longrightarrow{ \sf{x  = 1 \times 12}}

\longrightarrow { \sf{x = 12}}

--------------------------------------------------------------------

\sf{2. \:  \:  \:  \: 3(4 + 2x) = 33 - x }

Distribute 3 through the parentheses

\longrightarrow{ \sf{12 + 6x = 33 - x}}

Move x to left hand side and change it's sign

Similarly, move 12 to right hand side and change it's sign

\longrightarrow{ \sf{6x +  x = 33 - 12}}

Collect like terms

\longrightarrow{ \sf{7x = 33 - 12}}

Subtract 12 from 33

\longrightarrow{ \sf{7x = 21}}

Divide both sides by 7

\longrightarrow{ \sf{ \frac{7x}{7}  =  \frac{21}{7} }}

Calculate

\longrightarrow{ \sf{x = 3}}

Hope I helped!

Best regards! :D

4 0
3 years ago
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