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3 years ago

The following examples illustrate the associative property of multiplication.

Mathematics

2 answers:

nlexa [21]3 years ago

8 0

Answer:

The first example: a · (b · c) = (a · b) · c

Step-by-step explanation:

The associative property regroups values by changing the location of parentheses. If you notice, the order of the values is not changed. Both sides have a x b x c, only the parentheses have been moved. Moving the parentheses changes the progression of what is multiplied (whatever is in the parentheses is multiplied together first) but doesn't change the final answer.

kati45 [8]3 years ago

4 0

Answer:

A) a • (b • c) = (a • b) • c

Step-by-step explanation:

The associative property of multiplication (or addition) shows that the order the numbers are multiplied it irrelevant, more specifically in the manners of parentheses.

So, the answer is A, which can also be seen in that substituting a as 5, b as 3, and c as 6 gives us the first example.

You might be interested in

<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20-%2022x%20%20%2B%20121" id="TexFormula1" title=" {x}^{2} - 22x + 121"

eduard

Let's factor x^2−22x+121

The middle number is -22 and the last number is 121. Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks? We need two numbers that...

Add together to get -22

Multiply together to get 121

Can you think of the two numbers?

Try -11 and -11:

-11+-11 = -22

-11*-11 = 121

Fill in the blanks in

(x+_)(x+_)

with -11 and -11 to get...

(x-11)(x-11)

Answer: (x-11)(x-11)

Hope this helps!!!

3 0

3 years ago

Onto

Nesterboy [21]

Answer:

Step-by-step explanation:

To obtain the inverse function

let y = f(x) and rearrange making x the subject, that is

y = 3x + 1 ( subtract 1 from both sides )

y - 1 = 3x ( divide both sides by 3 )

$\frac{y-1}{3}$ = x

Change y back into terms of x, thus

$f^{-1}$ (x) = $\frac{x-1}{3}$

5 0

3 years ago

Uh little confused on this one uh oh.

lana [24]

Answer:

I uhh need the question.. lol

Step-by-step explanation:

cat is 31%

dog is 42%

hamster is 19%

fish is 8%

62+84+38+16=200

62/200=0.31

84/200=0.42

38/200=0.19

16/200=0.08

Have a nice day!

7 0

3 years ago

Determine the value of f(2) that will lead to an average rate of change of 15 over the interval [2,6]. (HELP PLEASE)

Fofino [41]

Average Rate of Change/Slope Formula: $\frac{y_2-y_1}{x_2-x_1}$

So using points (6,71) and (2,y), and the slope of 15, plug them into the slope formula as such:

$\frac{71-y}{6-2}=15$

From here we can solve for y. Firstly, solve the subtraction:

$\frac{71-y}{4}=15$

Next, multiply both sides by 4:

$71-y=60$

Next, subtact both sides by 71:

$-y=-11$

Lastly, multiply both sides by -1, and <u>your final answer will be $y=11$ , or A.</u>

6 0

4 years ago

Higher Order Thinking a carpenter plans to extend the length of rectangular desk by 7 feet. Let x represent the desk's original

abruzzese [7]

Answer:

d. 9x + 63 and 63 square feet

Step-by-step explanation:

Given

Original

$Length = x$

$Width = 9$

Extended

$Length = x + 7$

$Width = 9$

$Area = 9(x + 7)$

Required

Determine an expression and the value of the extended area

First, we calculate the area of the original desk

$A_1 = x * 9$

$A_1 = 9x$

From the given parameters, we have:

$Area = 9(x + 7)$ --- area of the new surface

Open bracket

$Area = 9x + 63$

The area of the new surface is the summation of the area of the original desk and the area of the extended portion (E)

So:

$Area = A_1 + E$

Make E the subject

$E= Area - A_1$

$E= 9x + 63 - 9x$

$E= 63$

Hence, the area of the extended portion is 63

7 0

3 years ago