The Associative property of addition states that when three or more numbers are added, it does not matter how they are grouped, the sum is the same. Then:

$a + (b + c) = (a + b) + c$

Based on this and having the expression $3 + 19- 12$ , we can apply the Associative property as following:

$(3 + 19) - 12 = 3 + (19 - 12)$

Therefore, the expression that illustrates the Associative property of addition is the one shown in the Third option.

3 0

2 years ago

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What is the domain for each function below? Choose the correct inequality symbol from the drop down menu and fill in the blank w

erik [133]

Answer:

$x \le 3$

$x \ge 0$

Step-by-step explanation:

The functions, missing from the question are:

$f(x) = \sqrt{3 - x$

$f(x) = \sqrt{3 x$

Required

Determine the domain

To get the domain, means we want to get the possible values of x.

(a)

$f(x) = \sqrt{3 - x$

Equate 3 - x to 0

$3 - x = 0$

Solve for x

$-x = -3$

$x = 3$

From the calculated value of x above;

When x exceeds 3; f(x) = undefined

So: the domain is:

$x \le 3$

(b)

$f(x) = \sqrt{3x$

Equate 3x to 0

$3x = 0$

Solve for x

$x = 0$

From the calculated value of x above;

When x falls below 0; f(x) = undefined

So: the domain is:

$x \ge 0$

4 0

2 years ago

In segment AC, point B is between A and C. Which of the following is true?

shtirl [24]

Answer:

Step-by-step explanation:

4 0

2 years ago

Plz show work, NEED HELP FAST PLZ

OLga [1]

Answer:

5. 4 6. 6

Step-by-step explanation:

Number 5

$10-2\sqrt{9}$

$2\sqrt{9}=6$

$=10-6$

Subtract the numbers: 10 - 6 = 4

$=4$

Number 6

$70-\left(\sqrt[3]{64}\right)^3$

$\left(\sqrt[3]{64}\right)^3=64$

$=70-64$

Subtract the numbers: 70 - 64 = 6

$=6$

4 0

2 years ago