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Masteriza [31]
3 years ago
13

Max and Emma are discussing their math homework and disagree on the answer for one question. Max says that integers are closed u

nder division because 8 divided by 2 is 4. Emma disagrees and says integers are not closed under division because 7 divided by 2 is 3.5, which is not an integer. Who is correct?

Mathematics
1 answer:
hram777 [196]3 years ago
4 0

A set has closure under an operation if performance of that operation on members of the set always produces a member of the same set; in this case we also say that the set is closed under the operation.

A closure property is a certain rule that holds <u>if it is true for all elements of a set under the given operation</u> and a closure property does not hold <u>if there is at least one pair of elements that do not follow the closure property under the given operation.</u>

Therefore, Emma is correct, because you can find a counterexample (7:2=3.5) that gives you a non-integer answer.

Answer: correct option is B

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What is the answer???
bonufazy [111]
First, change one of the equations to an y=x form I'll use the top one for example.
3x-2y=14
-2y=14-3x
y=-7+(3/2)x
Not that you can show what y is in terms of x, plug in the x side of the equation into the other equation, for y.
x+2(-7+(3/2)x)=10
Now, you can solve for x
x-14+3x=10
4x-14=10
4x=24
x=6
Using this value of x, we can now solve for y using one of the original equations.
(6)+2y=10
2y=4
y=2
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2 years ago
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Step-by-step explanation:

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10. Which expression is equivalent to 1.6x-4.8?
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Answer is

0.8(2x-6)

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7 0
2 years ago
how do the graphs of f(x) = sin x and g(x) = sin2x+3 compare. Must make two selections of the following that apply.
Elena L [17]

Answer:

The correct options are:

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Step-by-step explanation:

We have to compare the graphs of the function:

f(x)=\sin x

and g(x)=\sin 2x+3

We have to select the correct options among the following:

As we know that the period of sine function is 2π.

i.e. Period of function f(x) is: 2π.

The period of sin(2 x) is π.

Hence, the period of the function g(x) function is π.

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3 0
3 years ago
Read 2 more answers
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