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3 years ago

Which is the best answer??

Mathematics

1 answer:

GuDViN [60]3 years ago

5 0

Answer:

$\large\boxed{C.\ (-4x+3)(x-2)}$

Step-by-step explanation:

$-4x^2+11x-6=-(4x^2-11x+6)=-(4x^2-8x-3x+6)\\\\=-\left[4x(x-2)-3(x-2)]=-(x-2)(4x-3)=(-4x+3)(x-2)$

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What is the y in 10.3=0.6y

ollegr [7]

Hello, you would divide 10.3 by 0.6 to get 17.166 repeating. So y equals 17.166.

6 0

3 years ago

Determine whether the equation is exact. If it is, then solve it. e Superscript t Baseline (7 y minus 3 t )dt plus (2 plus 7 e

umka21 [38]

Answer:

$F(t,y)=(2+7e^t)y+3(1-t)e^t +C$

Step-by-step explanation:

You have the following differential equation:

$e^t(7y-3t)dt+(2+7e^t)dy=0$

This equation can be written as:

$Mdt+Ndy=0$

where

$M=e^t(7y-3t)\\\\N=(2+7e^t)$

If the differential equation is exact, it is necessary the following:

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial t}$

Then, you evaluate the partial derivatives:

$\frac{\partial M}{\partial y}=\frac{\partial}{\partial t}e^t(7y-3t)\\\\\frac{\partial M}{\partial t}=7e^t\\\\\frac{\partial N}{\partial t}=\frac{\partial}{\partial t}(2+7e^t)\\\\\frac{\partial N}{\partial t}=7e^t\\\\\frac{\partial M}{\partial t} = \frac{\partial N}{\partial t}$

The partial derivatives are equal, then, the differential equation is exact.

In order to obtain the solution of the equation you first integrate M or N:

$F(t,y)=\int N \partial y = (2 +7e^t)y+g(t)$ (1)

Next, you derive the last equation respect to t:

$\frac{\partial F(t,y)}{\partial t}=7ye^t+g'(t)$

however, the last derivative must be equal to M. From there you can calculate g(t):

$\frac{\partial F(t,y)}{\partial t}=M=(7y-3t)e^t=7ye^t+g'(t)\\\\g'(t)=-3te^t\\\\g(t)=-3\int te^tdt=-3[te^t-\int e^tdt]=-3[te^t-e^t]$

Hence, by replacing g(t) in the expression (1) for F(t,y) you obtain:

$F(t,y)=(2+7e^t)y+3(1-t)e^t +C$

where C is the constant of integration

8 0

4 years ago

Can someone help me with this question I don't know how to subtract a whole number by a fraction

BlackZzzverrR [31]

Part A:

Orange Juice

$18*\frac{1}{3}=\frac{18}{3}=6l$

Pineaplle Juice

$4l$

Club Soda

$18-(6+4)=8l$

Part B:

$18*\frac{4}{9}=\frac{72}{9}=8l$

June have 8l of fruit puch left.

I hope it help

5 0

3 years ago

Read 2 more answers

Multiply 6√3 • 8√14 • √10 • √2

uranmaximum [27]

Answer:

96 sqrt(210)

Step-by-step explanation:

6√3 • 8√14 • √10 • √2

We multiply what is outside the square roots with what is outside the square roots and what is inside the square roots with what is inside the square roots

6*8 = 48

3*14*10*2 = 840

6√3 • 8√14 • √10 • √2

48 sqrt(840)

48 sqrt( 4*210)

sqrt(a*b) = sqrt(a) sqrt(b)

48 sqrt(4) sqrt(210)

48 *2 sqrt(210)

96 sqrt(210)

210 is 3*7 *5*2 which are all primes, so we cannot simplify the sqrt (210)

7 0

3 years ago

Knowing that the result of expanding (x+a)(x-6) is x²+mx-48, find the values of a and m.

Citrus2011 [14]

We know -48 came from (a)(-6), the "L" in "FOIL".

If -48 = -6a, then a = 8.

Now with a=8, go ahead and FOIL (x+8)(x-6) to find m.

6 0

3 years ago