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2 years ago

Calculate dy/dx when xy^3 + y =3x

1 answer:

6 0

You have to use implicit derivative

dy / dx = y'

xy^3+y=3x

y^3 + 3xy^2 y' + y' = 3

[3xy^2 + 1) y'= 3 - y^3

          3 - y^3
y' = -----------------   <-----------answer
         3xy^2 + 1

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Use Heron's formula to find the area of the triangle. Round to the nearest square foot.

Sphinxa [80]

Answer:

A ≈ 2 ft²

Step-by-step explanation:

The area (A) of a triangle using Heron's formula is

A = $\sqrt{s(s-a)(s-b)(s-c)}$

where s is the semiperimeter and a, b , c the sides of the triangle.

s = $\frac{a+b+c}{2}$ = $\frac{4+4+1}{2}$ = $\frac{9}{2}$ = 4.5

Then

A = $\sqrt{4.5(4.5-4)(4.5-4)(4.5-1)}$

= $\sqrt{4.5(0.5)(0.5)(3.5)}$

= $\sqrt{3.9375}$

≈ 1.9843...

= 2 ft² ( to the nearest square foot )

8 0

2 years ago

At the ice cream parlor,sundaes cost $4.25 and waffle cones cost $3.75.You and your friends have $50 to spend.Your group buys 5

stich3 [128]

Answer:

You can buy 7 waffle cones.

Step-by-step explanation:

Let sundae = x

Let waffle cones = y

4.25x + 3.75y ≤ 50

4.25 (5) + 3.75y ≤ 50

21.25 + 3.75y ≤ 50

3.75y ≤ 28.75

y ≤ 7.666666666

* round to the nearest whole to get 7

6 0

2 years ago

Slope: -2/3 y-intercept: -8 find the linear equation

puteri [66]

Answer:

y = - $\frac{2}{3}$ x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - $\frac{2}{3}$ and c = - 8, hence

y = - $\frac{2}{3}$ x - 8 ← linear equation

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2 years ago

An investor invests $2,500 into a mutual fund and earns 5.75% on the principle for each of three years. How much interest has ac

HACTEHA [7]

Answer:

Interest in 3 years = $456.52

Step-by-step explanation:

As we know the the formula of compound interest

Total amount = $A(1+\frac{r}{n})^{nt}$

Here n = number of times amount is compounded

r = rate of interest

t = period

Here A = $2500

r = 0.0575

n = 1 (compounded annually)

t = 3 years

Therefore amount after 3 years

$P=2500(1+\frac{.0575}{1})^{3}$

P =2500(1.0575)³

= 2500×1.18

= $2956.52

We have to calculate the interest then

Interest = $2956.52-$2500 = $456.52

So after 3 years interest gained = $456.52

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2 years ago

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Since the subject of Shakespeare's poem is disloyalty and ingratitude – things that are not jolly – the lines "Then heigh-ho, th

sergejj [24]

This is a guess, but I think its A. I could be wrong though.

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2 years ago