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3 years ago

HELP ME PLSSS Which of the following number sentences is an example of the associative property of multiplication?

Mathematics

1 answer:

MariettaO [177]3 years ago

4 0

Answer:

The first or third one

Step-by-step explanation:

Associative property is where you can switch the place of the digits and it still have the same answer in the end.

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Find the distance between the points (–3, 2) and (0, 3).

Oksi-84 [34.3K]

Answer: $\sqrt{10}\ units$

Step-by-step explanation:

You need to use the following formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given the points (-3, 2) and (0, 3), you can identify that:

$x_2=-3\\x_1=0\\\\y_2=2\\y_1=3$

Then, the final step is to substitutes these coordinates into the formula.

So, the distance between the given points is:

$d=\sqrt{(-3-0)^2+(2-3)^2}\\\\d=\sqrt{10}\ units$

6 0

3 years ago

For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th

alexira [117]

Answer:

The inner function is $h(x)=4x^2 + 8$ and the outer function is $g(x)=3x^5$ .

The derivative of the function is $\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4$ .

Step-by-step explanation:

A composite function can be written as $g(h(x))$ , where $h$ and $g$ are basic functions.

For the function $f(x)=3(4x^2+8)^5$ .

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have $4x^2+8$ inside parentheses. So $h(x)=4x^2 + 8$ is the inner function and the outer function is $g(x)=3x^5$ .

The chain rule says:

$\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)$

It tells us how to differentiate composite functions.

The function $f(x)=3(4x^2+8)^5$ is the composition, $g(h(x))$ , of

outside function: $g(x)=3x^5$

inside function: $h(x)=4x^2 + 8$

The derivative of this is computed as

$\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4$

The derivative of the function is $\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4$ .

3 0

4 years ago

What is the answer ? Please help !!

ch4aika [34]

Answer: p > $\frac{3}{7}$

Step-by-step explanation:

-21p + 69 > -49p + 81

-69 -69

-21p > -49p + 12

+49p +49p

28p > 12 divide both sides by 28

p > 12/28

reduce it p> 3/7

7 0

3 years ago

Tell whether the ordered pair is a solution of the system of equations.

katovenus [111]

Answer:

2x + y = 5

y = 4x – 1

Substitute (2, 1) into system, then:

2x + y = 5 => 2 x 2 + 1 = 5 => 5 = 5 (satisfied)

y = 4x– 1 => 4 x 2 - 1 = 1 => -7 = 1 (not satisfied)

=> Option 3 is correct.

Hope this helps!

8 0

3 years ago

Claudia is going to buy a used car for $9,500. She can finance it at the car dealership at 11% interest for 3 years, or she can

Thepotemich [5.8K]

Answer:

i dont know sorry

Step-by-step explanation:

5 0

3 years ago