All categories

1 year ago

Which graph represents y=³√x ?

Mathematics

1 answer:

QveST [7]1 year ago

4 0

Answer:

1 / (3 - √x³)

Step-by-step explanation:

∛x = x^1/3

^1/3 means the exponent is 1/3

then the derivative is:

d/dx ∛x = d/dx x~1/3 = 1/3*x~(1/3 - 1) = 1/3 x~-2/3 = 1/3 * (1/√x³)

= 1 / (3*√x³)

Hope it helps.

You might be interested in

Maximizing revenue. Edwards University wants to determine what price to charge for tickets to football games. At $18 per ticket,

Papessa [141]

Answer:

New price is $12.75

New attendance is 57500

Step-by-step explanation:

For starters, we use the relation.

18 - 3x

Since we don't know the number of times we're expected to deduct $3 from the price.

Again, we have 40000 + 10000x on another hand. Question says to add 10000 people everytime $3 is deducted.

Since (40000 + 10000x) is the number of people, we multiply it by $4.50, the average amount each person spends is then gotten to be

(18 - 3x) (40000 + 10000x) + (40000 + 10000x) (4.5) = 0

Expanding the bracket, we have

[720000 + 60000x - 30000x²] + [180000 + 45000x] = 0, solving further, we have

900000 + 105000x - 30000x² = 0 or

-30000x² + 105000x + 900000 = 0

Then, we find the maximum of a quadratic, by finding the axis of symmetry. Use x = -b/2a

x = -105000 / 2 * -30000

x = -105000 / -60000

x = 1.75

From our earlier equations, the new price then is

18 - 3(1.75) = 18 - 5.25 = $12.75

The new attendance also is

40000 + 10000(1.75) =

40000 + 17500 = 57500

7 0

2 years ago

Ireland has a 23% VAT (value-added tax, similar to a sales tax). How much will the VAT be on a purchase of a €250 item?

Maurinko [17]

€250 x 1.23 (123%) = €307.50

:)

5 0

3 years ago

Read 2 more answers

Pleaseeeeeeeeeeeee help :)

mash [69]

The table says that the x value represents the number the years since 1985. To find the number of bald eagle pairs in 1998, we need to calculate x:

1998 - 1985 = 13

Now plug 13 in for x to find y:

y = 312.5(13) + 1562.5

y = 5625

6 0

3 years ago

Write the quadratic equation whose roots are −6 and 2 , and whose leading coefficient is 5 . (use the letter x to represent the

White raven [17]

<span>Here let the quadratic equation be ax^2 + bx + c We know that a=5 from the question. Since the roots are 6 and 2, the quadratic equation would take the form of a product like (a1x-b1)(a2x-b2). However, let's assume that a2=1 and b2=6, Since a=5, a1=5, then 5x-b1=5(x-2). Solving this shows that b1=10 So, the equation is (5x-10)(x-6)</span>

3 0

3 years ago

Aiden picked 3/8 of the carrots in his garden. There were 32 carrots in his garden.

Ann [662]

The answer is 12 carrots:)

3 0

3 years ago

Read 2 more answers