All categories

3 years ago

Distributive property of 4x 567

Mathematics

1 answer:

Maksim231197 [3]3 years ago

7 0

567 = 500+60+7

4*567 = 4*(500+60*7)

4*567 = 4*500 + 4*60 + 4*7 ... see note below

4*567 = 2000 + 240 + 28

4*567 = 2268

--------

note: multiply the outer term 4 by each term inside the parenthesis to use the distributive property. The general distributive property is a*(b+c) = a*b+a*c. This can be extended to a*(b+c+d) = a*b+a*c+a*d. You can have as many terms as you like inside the parenthesis.

You might be interested in

I need helping answering 15. I need to create a table and graph the function.

Alekssandra [29.7K]

ANSWER and EXPLANATION

We want to order the functions from widest to narrowest:

$\begin{gathered} y=3x^2 \\ y=2x^2 \\ y=4x^2 \end{gathered}$

To do this, we have to plot the graphs of the functions by using a table of values.

Let us find the values of the functions for values of x = -2, 0, 2

For the first function:

$\begin{gathered} y=3x^2 \\ \Rightarrow x=-2: \\ y=3(-2)^2=3*4 \\ y=12 \\ \Rightarrow x=0: \\ y=3(0)^2=3*0 \\ y=0 \\ \Rightarrow x=2: \\ y=3(2)^2=3*4 \\ y=12 \end{gathered}$

Hence, its table is:

For the second function:

$\begin{gathered} y=2x^2 \\ \Rightarrow x=-2: \\ y=2(-2)^2=2*4 \\ y=8 \\ \Rightarrow x=0: \\ y=2(0)^2=2*0 \\ y=0 \\ \Rightarrow x=2: \\ y=2(2)^2=2*4 \\ y=8 \end{gathered}$

Hence, its table is:

For the third function:

$\begin{gathered} y=4x^2 \\ \Rightarrow x=-2: \\ y=4\left(-2\right)^2=4*4 \\ y=16 \\ \Rightarrow x=0: \\ y=4(0)^2=4*0 \\ y=0 \\ \Rightarrow x=2: \\ y=4(2)^2=4*4 \\ y=16 \end{gathered}$

Hence, its table is:

Now, let us plot the graphs of the functions:

Therefore, from the graph, we see that the order of the functions from widest to narrowest is:

$y=2x^2;y=3x^2;y=4x^2$

4 0

10 months ago

(3x+2)/5 =31 PLEASE HELP FAST

Elena-2011 [213]

Answer:

x = 51

Step-by-step explanation:

3 x 51 = 153, 153 + 2 = 155, 155 / 5 = 31

7 0

2 years ago

Read 2 more answers

What is the sum of the polynomials 5 a squared b plus 2a squared b squared 5 a2b+2a2b2 and negative ab squared plus a squared b

cupoosta [38]

The first polynomial is $5a^2b+2a^2b^2$

The other polynomial is $-ab^2+a^2b^2$

Now to add polynomials we must add or subtract like terms

Adding them we have

$(5a^2b+2a^2b^2)+(-ab^2+a^2b^2)$

$5a^2b+2a^2b^2-ab^2+a^2b^2$

Here $2a^2b^2 $ and $ a^2b^2 $ are like terms $$

So we add then

We get

$5a^2b+3a^2b^2-ab^2$

The addition of the polynomial is $5a^2b+3a^2b^2-ab^2$

3 0

3 years ago

I have three bits of tinsel measuring the following: 2.3m, 45cm and 750mm. How long is my tinsel altogether in metres?

pav-90 [236]

100 cm= 1 meter 1,000 cm=meter
——————-
750 mm = 0.75 m
45 cm = 0.45 m
2.3 m
——————
Add and you should get 3.5. The tinsel is 3.5 meters long.

7 0

2 years ago

Find the value of each of the following: a. |15| b. |−15| c. −|15| d. −|−15| *Note: the numbers are inside the 2 parallel lines*

gregori [183]

Answer:

a is 15, b is 15, c is -15, and d is -15 also

Step-by-step explanation:

The 2 parallel lines that surround the number are called "absolute value signs" everything inside them has an outcome of a positive number and in this case the number is 15. Like I said the number(s) inside the absolute value signs have to have a outcome of a positive number, notice in c and d there is a negative sign outside the absolute value signs. Therefore you multiply the negative seperately so, 15(-1) is -15.

5 0

3 years ago

Distributive property of 4x 567​

Distributive property of 4x 567