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ziro4ka [17]
3 years ago
13

Find a counterexample for the statement. If the name of the month begins with a J, then it is a summer month

Mathematics
2 answers:
jeka57 [31]3 years ago
7 0

Answer:

January

Step-by-step explanation:

A counterexample is something that proves the statement false.

January is a month that starts with J that is not a summer month.

That proves the statement false

JulijaS [17]3 years ago
4 0

\huge{\boxed{\text{January}}}

A counterexample is an example that proves the statement wrong.

In this case, we are trying to prove that not all months that start with J are summer months. This means we need to find a month that starts with J that is also not a summer month.

\boxed{January} is the only month that fits this criteria.  It begins with the letter J and is a winter month, which is not summer.

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Four times the sum of three consecutive odd integers is seven hundred sixty-five less than three times the product of the larger
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The consecutive odd integers are (15, 17, 19) or (-17, -15, -13).

Step-by-step explanation:

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Solve this for <em>x</em> as follows:

4[x-2+x+x+2]=3x(x+2)-765\\4\times 3x=3x^{2}+6x-765\\3x^{2}-6x-765=0\\x^{2}-2x-255=0\\x^{2}-17x+15x-255=0\\x(x-17)+15(x-17)=0\\(x-17)(x+15)=0

  • If (x-17)=0 then the value of <em>x</em> is 17.

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          x-2=17-2=15\\x=17\\x+2=17+2=19

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