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3 years ago

Divide: (x2 – 3x – 33) = (x + 4)

Mathematics

2 answers:

Simora [160]3 years ago

8 0

Answer:

$\rm (x^2 - 3x - 33)\div(x + 4) = x - 7 - \dfrac{5}{x + 4}$

Step-by-step explanation:

$\rm\qquad\quad\quad{x-7}\\ \begin{array}{cc} \cline{2 - 2}\rm x + 4 )&\rm \ x^2 - 3x -33\\&\rm x^2 + 4x \\ \cline{2-2}& \rm \ \ \ \ -7x-33\\ &\sf \ - 7x-28 \\ \cline{2-2} & \rm \ \ -5 \\ \cline{2-2} \end{array}$

Quotient → x - 7

Remainder → -5

Divisor → x + 4

katovenus [111]3 years ago

7 0

Answer:

x-7-5/x+4

So answer C

Step-by-step explanation:

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Please read the attachment below, I need help on this one

Citrus2011 [14]

Answer:

A) 60% B)65%

Step-by-step explanation:

6 0

3 years ago

Mr. Ratchett, an elderly American, was found murdered in his train compartment on the Orient Express at 7 AM. When his body was

nasty-shy [4]

Answer: Mr. Ratchett died approximately at 2AM.

Step-by-step explanation: Newton's Law of Cooling shows the cooling rate between a body and the environment, by stating that the rate is proportional to the difference in temperatures between them.

Mathematically, it is represented as:

$\frac{dQ}{dt}=\alpha.A.(T_{s}-T)$

This differential equation solved, gives the solution:

$T(t)=T_{s}+(T_{0}-T_{s})e^{-kt}$

where

$T_{s}$ is temperature of the environment

$T_{0}$ is the initial temperature of the body

k is a parameter dependent of heat transfer coefficient, heat capacity and area of the body

t is time required to change the temperature

For the murder on the Orient Express, first determine parameter k.

In 1 hour, Mr. Ratchett's body decrease 1°:

$27=22+(28-22)e^{-1k}$

$5=6e^{-k}$

$e^{-k}=\frac{5}{6}$

$ln(e^{-k})=ln(0.834)$

k = 0.1823

Using the parameter, find estimate time:

$28=22+(37-22)e^{-0.1823t}$

$6=15e^{-0.1823t}$

$ln(e^{-0.1823t})=ln(0.4)$

0.1823t = 0.9163

$t=\frac{0.9163}{0.1823}$

t ≈ 5 hours

The body was found at 7AM. So, it took approximately 5 hours to cool down to 28° at that time. Therefore, Mr. Ratchett died at 2AM.

5 0

3 years ago

52 companies; 25% increase find original amount?

Vlada [557]

To find your answer, you would find 25% of 52. To find 25% of 52, you would multiply 52x.25.
52x.25=13
Now you need to subtract 52-13. 52-13 is 39. The original amount is 39 companies.

6 0

4 years ago

Please help! this assignment locks at 12 and i will give brainlest!

solmaris [256]

Answer:

where is the assignment?

7 0

2 years ago

Show work

adelina 88 [10]

Answer:

n = 5
m = 12
m= -14
y =30

Step-by-step explanation:

$n -8 =-3\\\\Collect\:like\:terms\\n = -3+8\\\\Simplify ; -3+8 = 5\\\\n =5$

$-2m=-24\\\\Divide\: both \:sides\:of\:the\:equation\:by\:-2\\\\\frac{-2m}{-2} = \frac{-24}{-2} \\\\Simplify ; -2m/-2 = m , -24/-2 = 12\\\\m =12$

$\frac{m}{2}=-7\\\\Cross\:Multiply\\\\m\times 1 = 2\times -7\\\\m = -14$

$\frac{2}{3}y=20\\ \\\frac{2}{3} y = \frac{20}{1} \\\\Cross\:Multiply\\\\2y\times 1 = 3\times 20\\\\2y = 20\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2y}{2}=\frac{60}{2}\\\\Simplify\\y = 30$

3 0

3 years ago