Please help me I need to know how to do this question, h^2-h-20/h^2-25

What the second answer

Debora [2.8K]

Answer:

1. y' = 3x² / 4y²

2. y'' = 3x/8y⁵[(4y³ – 3x³)]

Step-by-step explanation:

From the question given above, the following data were obtained:

3x³ – 4y³ = 4

y' =?

y'' =?

1. Determination of y'

To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:

3x³ – 4y³ = 4

Differentiate

9x² – 12y²dy/dx = 0

Rearrange

12y²dy/dx = 9x²

Divide both side by 12y²

dy/dx = 9x² / 12y²

dy/dx = 3x² / 4y²

y' = 3x² / 4y²

2. Determination of y''

To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:

3x² / 4y²

Let:

u = 3x²

v = 4y²

Find u' and v'

u' = 6x

v' = 8ydy/dx

Applying quotient rule

y'' = [vu' – uv'] / v²

y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²

y'' = [24xy² – 24x²ydy/dx] / 16y⁴

Recall:

dy/dx = 3x² / 4y²

y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴

y'' = [24xy² – 18x⁴/y] / 16y⁴

y'' = 1/16y⁴[24xy² – 18x⁴/y]

y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]

y'' = 1/16y⁵[(24xy³ – 18x⁴)]

y'' = 6x/16y⁵[(4y³ – 3x³)]

y'' = 3x/8y⁵[(4y³ – 3x³)]

6 0

3 years ago

In 5 minutes a conveyor belt moves 300 pounds of receyclable aluminum from the delievery truck a smaller belt moves the same qua

ladessa [460]

Answer:

It will take 3.214 minutes.

Step-by-step explanation:

It is given that, the conveyor belt transports 300 cans in 5 mins and the smaller belt transports 300 cans in 9 minutes.

Thus , the speed of conveyor belt is,

= $\frac{300}{5} = 60 cans per minute$

and of smaller belt is,

= $\frac{300}{9} = \frac{100}{3} cans per minute$

Thus, when both are used together,

conveyor belt will transport (60)(t) cans and smaller belt will transport $( \frac{100}{3})$ (t) cans per minute.

Thus the equation becomes,

$300 = (60)(t) + (\frac{100}{3})(t) = (\frac{280}{3})(t)$

t = $\frac{(300)(3)}{280} = \frac{45}{14} = 3.214 minutes$

3 0

3 years ago

SORRY BUT I HAVE ANOTHER PROBLEM!!!!! WILL GIVE BRAINLIEST & 50 POINTS

liberstina [14]

Answer:

The correct option is G.Hope this help!!

7 0

2 years ago

Read 2 more answers

How many factors of 10 does 1,000 in it???

Sauron [17]

Answer:

16 factors

Step-by-step explanation:

I hope this helps

Have an amazing day!

6 0

3 years ago

HELP ME PLEASEEEEEEEEE

Nataliya [291]

Answer:

a)This solution matches with the original equation and its solution

b)This solution matches with the original equation and its solution

c)This solution does not match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

d)This solution does not match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

Step-by-step explanation:

i) Which scenarios can be solved by 1.5x + 2.25 = 12.75. Select all that apply and note the given solution.

therefore 1.5x = 10.5 therefore x = 7

a) let the number be x

therefore if $\frac{3}{2} x + \frac{9}{4} = \frac{51}{4} \Rightarrow 1.5x + 2.25 = 12.75$ then the number x = 7.

This solution matches with the original equation and its solution

b.) If a taxi driver charges a flat fee of $2.25 and $1.5 per mile, where the

number of mile = x, then the number of miles Juan can ride the taxi for

$12.75 is x = 7.

This solution matches with the original equation and its solution

c)if nine quarters of a number, say x, increased by three halves is fifty one

quarters, the number is x = 5,

$\frac{9}{4} x + \frac{3}{2} = \frac{51}{4} \Rightarrow 9x = 51 - 6 = 45 \therefore x = 5$

This solution does not match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

d.) If a taxi driver charges a flat fee of $1.5 and $2.25 per mile, where the

number of mile = x, then the number of miles Juan can ride the taxi for

$12.75 is x = 5.

$2.25x + 1.5 = 12.75 \Rightarrow 9x = 51 - 6 = 45 \therefore x = 5$

This solution does not match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

3 0

4 years ago