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2 years ago

Complete the synthetic division to find the quotient of 3x^3-25x^2+12x-32 and x-8

Mathematics

1 answer:

lisabon 2012 [21]2 years ago

4 0

Answer:

Explanation:

Hey there!

Please see your required solution in picture.

Quotient Q(X) = 3x²-x+4

Hope it helps!

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Please help me This is analytic geometry

Vlada [557]

Answer:

The coordinates of point B are (-3,-3).

Step-by-step explanation:

Let $A(x,y) = (6,-6)$ , $C(x,y) = (-6,-2)$ and $\overrightarrow{AB} = \frac{3}{4}\cdot \overrightarrow{AC}$ , then we have the following formula by vectorial definition of a line segment:

$\overrightarrow{AB} = \frac{3}{4}\cdot \overrightarrow{AC}$

$B(x,y) -A(x,y) = \frac{3}{4}\cdot [C(x,y)-A(x,y)]$

$B(x,y) = \frac{3}{4}\cdot C(x,y) +\frac{1}{4}\cdot A(x,y)$

$B(x,y) = \frac{3}{4}\cdot (-6,-2)+\frac{1}{4}\cdot (6,-6)$

$B(x,y) = (-3, -3)$

5 0

3 years ago

Please help i will give metal.

Nataliya [291]

It would be either A or D because it says that john has 3 rows and does not say of how many stickers...but Raj have 36 stickers and Tajika has 36 stickers and Sue Lee has 40 so it would either A or D

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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

3 years ago

Please help ASAP!!!

Svetach [21]

Answer:

Step-by-step explanation:

Just make sure that the x value is not being repeated twice. because one of the given points is (4,9) you cannot have the point (4,0). X value cannot repeat in a valid function.

3 0

3 years ago

Rhett made a simple drawing of his house.It is a three-dimensional figure with four faces that are rectangular and two that are

marta [7]

Answer:

it is a rectangular prism

Step-by-step explanation:

it is 3D and when something has four faces that are rectangular and two that are sqaure it makes it a rectangular prism. imagine the rectangles on the sides and sqares at the end, it looks like a rectangle =).

5 0

3 years ago