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3 years ago

What is the counterexample for "If two numbers are odd, then theri sum is odd"

Mathematics

1 answer:

rodikova [14]3 years ago

8 0

Answer:

a counterexample is 5+7=12

Step-by-step explanation:

this is because 5 and 7 are both odd numbers. when you add these numbers, you get 12. 12 is an even number.

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Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition

vovikov84 [41]

Answer:

(a) Set of rational numbers

(b) $\pi + (-\pi) = 0$

Step-by-step explanation:

Solving (a): Set that is closed under subtraction

The solution to this is rational numbers.

For a set of number to be closed under subtraction, the following condition must be true

$a -b = c$

Where

a, b, c are of the same set.

The above is only true for rational numbers.

e.g.

$1 - 2 = -1$

$5 - 5 = 0$

$\frac{1}{2} - \frac{1}{4} = \frac{1}{2}$

$4 - 2 = 2$

The operations and the result in the above samples are rational numbers.

Solving (b): Choice not close under addition[See attachment for options]

As stated in (a)

For a set of number to be closed under subtraction, the following condition must be true

$a -b = c$

Where

a, b, c are of the same set.

In the given options (a) to (d), only

$\pi + (-\pi) = 0$ is not close under addition because:

$\pi$ is irrational while $0$ is rational

<em>In other words, they belong to different set</em>

8 0

2 years ago

HELP PLEASE ILL GIVE YOU 15 POINTS THANK YOU

sasho [114]

Answer:

X Y

4. 2

8. 3

12. 4

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8 0

3 years ago

Read 2 more answers

The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint

Vikki [24]

Answer:

Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint

The number is $x= \frac{1}{3}$

The price is $P = \$ 8$

Step-by-step explanation:

From the question we are told that

The ratio of the number of cups of blue paint to the number of cups of red paint is $r = 3: 1$

Generally given that the number of cups of blue to that of red paint is 3: 1 then the Lara mixed 3 cups of blue paint with 1 cup of red paint

Given that 1 cup of red paint => 3 cups of blue paint

x cup of red paint => 1 cup of blue paint

$x= \frac{1 * 1}{3}$

=> $x= \frac{1}{3}$

Generally the unit price of a cup of blue paint is mathematically represented as

$P = \frac{48}{6}$

=> $P = \$ 8$

4 0

3 years ago

What equation can I use to find the side of a cube whose area is 729?

Tom [10]

#1 There is no area of a cube. There is only a volume.
#2 The formula is $V = s^{3}$ where s is the side.

Substitute 729 in V since that is the volume.
$729 = s^{3}$

Take the cube root and you will get 9.

So the formula is $V = s^{3}$ and the side is 9.

8 0

3 years ago

Sarah graphed the function. y =-1/2x+4 if the domain is restricted to this on the photo what’s the answer I pick

Alex787 [66]

Answer:

Option (4)

Step-by-step explanation:

Domain of a function is defined by the x-values or input values of the function.

Similarly, Range of a function is defined by the y-values of output values for the corresponding input values.

From the graph attached,

Domain is restricted to 0 ≤ x ≤ 8.

Therefore, Range will be 0 ≤ y ≤ 4.

Option (4) will be the answer.

6 0

3 years ago

What is the counterexample for "If two numbers are odd, then theri sum is odd"​

What is the counterexample for "If two numbers are odd, then theri sum is odd"