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Vlada [557]
3 years ago
5

What is the distance between (2,-6) and (-4,3)

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
8 0
Oh okie so cute ☺️ cute lol
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Make x the subject of the formula 6x+a=5(x+t)
Mademuasel [1]
1. Expand
6x + a = 5x + 5t
2. Get x on one side
6x - 5x = 5t - a
3. Simplify
x = 5t - a (I think)
5 0
3 years ago
Read 2 more answers
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
sherry had $125.05 in her checking account She made deposit of $28.35 and $78.88 how much money was in sherry account after the
Doss [256]

Answer:

$17.82

Step-by-step explanation:

125.05  - 28.35 = 96.7 \\ 96.7 - 78.88 = 17.82

4 0
4 years ago
Read 2 more answers
HELPPP
alexdok [17]

Answer:

  7 boxes

Step-by-step explanation:

The area of a rectangular prism is given by the formula ...

  A = 2(LW +H(L+W))

The amount of wallpaper Carmen needs for one box is found by computing the area of the box.

__

<h3>One box</h3>

  A = 2(5·6 +7(5+6)) = 2(30 +7·11) = 2(107) = 214 . . . square feet

<h3>All boxes</h3>

  Carmen will be using a total of 214x square feet of wallpaper to cover x boxes. She has 1498 ft² available, so can cover ...

  1498 ft²/(214 ft²/box) = 7 boxes

Carmen has enough wallpaper to cover 7 storage boxes.

7 0
2 years ago
An entertainment firm offer serveral DJ choices and light shows that range in price based on the rental time period. The DJs cos
Fantom [35]

Answer:

378\le x\le 678.

Step-by-step explanation:

If you are booking both a DJ and a light show and the DJs cost between $219 and $369 per night and the light shows cost between $159 and $309 per night,  then the possible total amount you would pay x must be between $(219+159)=$378 (the least price) and $(369+309)=$678 (the greatest price).

A compound inequality will take look

378\le x\le 678.

3 0
3 years ago
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