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disa [49]
4 years ago
12

(x^3+43-49x-7x^2)/(x^2-49)

Mathematics
2 answers:
GaryK [48]4 years ago
7 0
(X-7) is an answer and -300 is the reminder
liraira [26]4 years ago
7 0

Answer:

Quotient = x - 7,

Remainder = -300.

Step-by-step explanation:

Here, the given expression,

\frac{x^3+43-49x-7x^2}{x^2-49}

=\frac{x^3-7x^2-49x+43}{x^2-49}

By the long division ( shown below ), we get,

\frac{x^3-7x^2-49x+43}{x^2-49}=x-7-\frac{300}{x^2-49}

Hence, in the given division problem,

Quotient = x - 7,  

Remainder = -300.

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Date:
Svetlanka [38]

Answer:

Step-by-step explanation:

Because we have 3 unknowns, we need to come up with 3 equations. If the total number of animals is 440 and that number is made up of a combination of goats (g), ducks (d), and chickens (c) the first equation is

g + d + c = 440

The next equation is found in the fact that the number of ducks is one-quarter the number of chickens:

d=\frac{1}{4}c and solving for c gives us that

c = 4d

The last equation says that of the total number of animals, 440, half the goats and half the ducks got away, leaving only 320 animals behind. The last equation, the tricky one, is:

440-\frac{1}{2}g-\frac{1}{2}d=320 and simplifying that:

-\frac{1}{2}g-\frac{1}{2}d=-120 and because nobody hates fractions more than I do, I'm going to get rid of them by multiplying everything by 2 to get:

-g - d = -240

We've got these equations now, but what I'm going to do is to sub in what c equals (c = 4d) for c in the first equation:

 g + d + 4d = 440 and

 g + 5d = 440 and pair that with the one right above:

-g -  1d = -240 and use elimination to solve. The g's cancel each other out, leaving us with 4d = 200 and d = 50. So there were 50 ducks originally. Now we will sub that in to solve for c:

c = 4d so

c = 4(50) and

c = 200. Now we will sub both those values into the very first equation we put together to solve for g:

g + 200 + 50 = 440 and

g + 250 = 440 so

g = 190.

Add them all together just to be sure we have the 440 that we were told we had in the beginning (and we do, so we're all done!)

3 0
3 years ago
Factor each completly. 8p^2+71p-90
Zinaida [17]
8p² + 71p - 90
8p² + 80p - 9p - 90
(8p - 9)(p + 10)
5 0
3 years ago
100 POINTS!! MICROSOFT EXCEL
murzikaleks [220]

Step-by-step explanation:

A new coffee shop is being built. Its location is the reflection of the arcade's coordinates across

the y-axis. Which procedure will find the correct distance between the arcade and the new coffee shop

4 0
3 years ago
Read 2 more answers
Can somebody help a kid who needs a lot of help like ASAP or he gets everything taken away because thats kids RIGHT HERE.
Elina [12.6K]

Answer: um sure?

Step-by-step explanation:

3 0
3 years ago
Which ratio is equivlant to 3:4
Crank

Answer:

There is multiple. You didnt give options so heres all of them.

Step-by-step explanation:

6 : 8 9 : 12 12 : 16 15 : 20 18 : 24 21 : 28 24 : 32 27 : 36 30 : 40 33 : 44 36 : 48 39 : 52 42 : 56 45 : 60 48 : 64 51 : 68 54 : 72 57 : 76 60 : 80 63 : 84 66 : 88 69 : 92 72 : 96 75 : 1007 8 : 104 81 : 108 84 : 112 87 : 116 90 : 120 93 : 124 96 : 128 99 : 132 102 : 136 105 : 140 108 : 144 111 : 148 114 : 152 117 : 156 120 : 160 123 : 164 126 : 168 129 : 172 132 : 1761 35 : 180 138 : 184 141 : 188 144 : 192 147 : 196 150 : 200 153 : 204 156 : 208 159 : 2121 62 : 216 165 : 220 168 : 224 171 : 228 174 : 232 177 : 236 180 : 240 183 : 244 186 : 248 189 : 252 192 : 256 195 : 260 198 : 264 201 : 268 204 : 272 207 : 276 210 : 280 213 : 284 216 : 288 219 : 292 222 : 296 225 : 300 228 : 304 231 : 308 234 : 312 237 : 316 240 : 320 243 : 324246 : 328249 : 332252 : 336255 : 340258 : 344261 : 348264 : 352267 : 356270 : 360273 : 364276 : 368279 : 372282 : 376285 : 380288 : 384291 : 388

etc etc

4 0
3 years ago
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