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Rashid [163]
3 years ago
11

Differentiate y=x/5-5/x

Mathematics
1 answer:
igomit [66]3 years ago
7 0
I’m trying to find this too
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Please help with these two math problems<br><br> 1. 7^x ÷ 7^y =<br> 2. z^10x^y ÷ z^5 =
IceJOKER [234]

Answer:

  1.  7^(x-y)

  2. z^5x^y

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

__

1.

  \dfrac{7^x}{7^y}=\boxed{7^{x-y}}

__

2.

  \dfrac{z^{10}x^y}{z^5}=x^yz^{10-5}=\boxed{z^5x^y}

8 0
3 years ago
Write an<br> explicit formula for An, the nth term of the sequence 7, -42, 252, ....
erik [133]

Answer:

A_n = 7(-6)^{n-1}

Step-by-step explanation:

<u>Key skills needed: Explicit formula, Geometric sequence</u>

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

a_n = a_1(r)^{n-1}

--> r means the constant (or common ratio) that is being multiplied.

--> a_1 means the first term

--> a_n means the "nth" numbered term (so a_3 is the 3rd term, a_{10} is the 10th term and so on).

--> n-1 is just the "n" in a_n minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> r = -6 (Since we got -6 as the constant/common ratio).

--> a_1  = 7 (Since 7 is the 1st term)

This means that our formula would be --> A_n = 7(-6)^{n-1}

<em>Hope you understood and have a nice day!! :D</em>

8 0
3 years ago
A rectangular pool is 6 meters wide and 8 meters long. If you swim diagonally across the pool, how many meters would you be swim
Vitek1552 [10]

If you swim diagonally across the rectangular pool, the distance you swim is 10 meters.

<u>Given the following data:</u>

  • Width of rectangle = 6 meters
  • Length of rectangle = 8 meters

To determine the distance you swim in meters, we would apply Pythagorean's theorem since the width is along the x-axis while the length is along the y-axis.

Note: The diagonal side of the rectangular pool represents the hypotenuse.

Mathematically, Pythagorean's theorem is given by the formula:

Hypotenuse^2 = Opposite^2 + Adjacent^2

Substituting the given parameters into the formula, we have;

Hypotenuse^2 = 6^2 + 8^2\\\\Hypotenuse^2 = 36+64\\\\Hypotenuse^2 = 100\\\\Hypotenuse = \sqrt{100}

Hypotenuse = 10 meters.

Read more here: brainly.com/question/18890335

4 0
2 years ago
John, Sam &amp; Rob were playing cards. John scored x points,Sam scored 3 fewer than John. Rob scored twice Sam's points. togeth
Lostsunrise [7]

Answer:  2x-6

Work Shown:

john = x

sam = x-3 since he scored 3 fewer than john

rob = 2*(sam) = 2(x-3) = 2*x-2*3 = 2x-6

7 0
2 years ago
Which pairs are adjacent. Can have more then one
KonstantinChe [14]
The answer is CAB&BAE
3 0
3 years ago
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