Nine more than three times a number is

How do i solve f(x)= -3/x^2+5x+6 algebraically?

VMariaS [17]

Answer:

yg yc8ggt 8tycg6ctg7t6gt

Step-by-step explanation:

gygc86gc688rc6iycrgciutv

4 0

3 years ago

If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on

Nadya [2.5K]

Answer:

$\frac{dy}{dt} = 102$

Step-by-step explanation:

step(i)

Given function y = 3 x³ - 2 x ... (i)

Differentiating equation (i) with respective to 'x'

$\frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)$

Given x = -2

$(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)$

$(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34$

Step(ii):-

we know that

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Given $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

substitute values $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

⇒ $34 = \frac{\frac{dy}{dt} }{3 }$

cross multiplication , we get

$\frac{dy}{dt} = 34( 3 ) = 102$

Final answer:-

$\frac{dy}{dt} = 34( 3 ) = 102$

8 0

3 years ago

Need all these tomorrow!!!!! thank you all soooooOOOOOOooOoOOooOOoO much!!!!!

nordsb [41]

1.) 6% of 38 1% of 38 = 3.8 ( you just move the decimal placement over by one. 1% * 6 = 6% 3.8 * 6 = 6% 3.8 * 6 = 22.8 6% =22.8 2.) 5% of 90 90/5 = 5% 90/5 = 18 18 = 5% 3.) 15/5 = 9/x 15/5 = 3 3 = 9/x (nine divided by ? is three?....3!) 3 = 9/x(3) 3 = 9/3 3 = 3 x = 3 4.) 1/12 = .8/x Multiply each side by ten. 1/12 * 10 = 5/6 .8/x * 10 = 8/x 5/6 = 8/x Cross Multiply (switch the second numbers around) 5x = 6*8 Simplify 5x = 48 Divide both sides by 5 to get x by itself 5x/5 = x 48/5 = 9.6 *Whoo last problem lol* 5.) A three liter bottle costs $2.97 what is the unit rate. Well the unit is the object we're talking about, in this case a liter bottle. The unit rate is how much it costs or is per unit. Now that that's out of the way... 3L = 2.97 Like the other problems we want to get x by itself, so we'll divide by three) 3L/3 = L 2.97/3 = .99 L = .99 The Unit Rate is $0.99 per liter bottle. Hope this helped :)

3 0

3 years ago

Find the equation of locus of a point which moves such that its distance from (0,2) is one third distance from (-2,3). ( I WILL

scoray [572]

Answer:

$8(x^2+y^2)-4x-30y+23=0$