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4 years ago

Use the quotient rule to find the derivative of the given function.

Mathematics

1 answer:

just olya [345]4 years ago

3 0

((x+2)(2x-6)-(x^2-6x+1)(1))/(x+2)^2

((2x^2-2x-12)-(x^2-6x+1))/(x+2)^2

(X^2+4x-13)/(x+2)^2

Quotient Rule: Bottom x derivative of the top - the top x the derivative of the bottom, all over the bottom squared

Hope this helps

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What is one and one third subtract three fifths

vodomira [7]

Answer:

It would be 0.73333333333.

Step-by-step explanation:

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4 years ago

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The sides of a rectangle are in the ratio 4:7. If its longer side is 31.5 in., find the shorter side, the perimeter, and the are

Lemur [1.5K]

Answer:

Width = 18 inches

Perimeter = 99 inches

Area = 567 square inches

Step-by-step explanation:

The sides of a rectangle are in the ratio 4:7. Then

Width $=4x$ in

Length $=7x$ in.

If its longer side is 31.5 in, then

Length = 31.5 in

and

$7x=31.5\\ \\x=\dfrac{31.5}{7}=4.5\ in$

So,

Width $=4\cdot 4.5=18\ in$

The perimeter is

$P=2(\text{Width}+\text{Length})\\ \\=2(18+31.5)\\ \\=2\cdot 49.5\\ \\=99\ in$

The area is

$A=\text{Width}\cdot \text{Length}\\ \\=18\cdot 31.5\\ \\=567\ in^2$

5 0

3 years ago

30+ Point for AND BRAINLIEST FOR FASTEST!!!!!!

Serga [27]

1) If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is ¹/₆.

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is ³/₆ = ¹/₂.

Here are two more examples:

If a coin is flipped twice, determine the probability that it will land heads both times:

Favorable outcomes: 1 -- HH
Possible outcomes: 4 -- HH, HT, TH, TT

Thus, the probability that the coin will land heads both times is ¹/₄.

If Dan grabs one sock from a drawer containing 3 white socks, 4 blue socks, and 5 yellow socks, what is the probability that he will grab a white sock?

Favorable outcomes: 3 (3 white socks)
Possible outcomes: 12 (3 white socks + 4 blue socks + 5 yellow socks)

Thus, the probability that Dan will grab a white sock is ³/₁₂ = ¹/₄.

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2 years ago

The net of a cube is made up of five squares. <br> a. True<br> b. False

scZoUnD [109]

B. False.

The net of a cube is made up of 6 squares and not 5 squares.

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3 years ago

Read 2 more answers

50 POINTS!

Sav [38]

$HEY THERE!$

QUESTION:- SOLVE THE EQUATION :- 3(x+2)=4x+1

ANSWER:-

STEP BY STEP

=> 3(x+2)=4x+1
Reason :- By multilying
=> 3x +6 = 4x+1
Reason:- By Subtracting with 3x on both sides
=> 6 = x+1
Reason:- By subtracting with 1 on both sides.( distribution property)
=> x = 5

HOPE IT HELPS YOU.

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3 years ago