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3 years ago

Rewrite the expression (x2 – 3x – 18)/(x – 9) using the long division method.

Mathematics

1 answer:

nadezda [96]3 years ago

7 0

Answer:

x + 3

Step-by-step explanation:

Image below

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Can someone help me with number 3 please?

harina [27]

Answer:

-x+y=-2

Step-by-step explanation:

Find the slope and y intercept. Then them into the standard form equation: Ax+By+C

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3 years ago

You usually buy a 5.4 ounce bottle of lotion there is a new bottle that says it gives you 20% more free what is the equation

MariettaO [177]

So 20%=0.2
so 20% more is same as
100%+20%=120%=1.2
equation could be
5.4 oz times 1.2

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3 years ago

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Ket [755]

Answer:

Step-by-step explanation:

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3 years ago

Tank 1 initially contains 50 gals of water with 10 oz of salt in it, while tank 2 initially contains 20 gals of water with 15 oz

Naddik [55]

$\dfrac{\mathrm dx_1}{\mathrm dt}=\dfrac{2\text{ oz}}{1\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}$
$\dfrac{\mathrm dx_2}{\mathrm dt}=\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_2(t)\text{ oz}}{20\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}$

$\implies\begin{cases}\dfrac{\mathrm dx_1}{\mathrm dt}=10-\dfrac1{10}x_1\\\\\dfrac{\mathrm dx_2}{\mathrm dt}=\dfrac1{10}x_1-\dfrac14x_2\\\\x_1(0)=10\\\\x_2(0)=15\end{cases}$

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3 years ago

In the diagram below of triangle

Zigmanuir [339]

9514 1404 393

Answer:

EF = 5

Step-by-step explanation:

Given:

EF = 6x -31

BD = 64 -9x

BD = 2·EF

Find:

Solution:

BD = 2·EF

64 -9x = 2(6x -31) . . . . substitute the given expressions

64 -9x = 12x -62 . . . . eliminate parentheses

126 = 21x . . . . . . . . . . . add 62+9x

x = 6 . . . . . . . . . . . . . . . divide by 21

Now the length of EF is ...

EF = 6x -31 = 6(6) -31

EF = 5

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3 years ago