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3 years ago

Simplify using long division. (Remember to show all your work.)

Mathematics

1 answer:

Leokris [45]3 years ago

6 0

. 8x²+20x
. ______________ first, try to solve the first one...
x-3 ) 8x³ - 4x² -36x -72 so mult x AND -3 by 8x²
. 8x³ -24x² (remember it is substract not add)
------------------------------------
. 20x²-36x-72 Now try to solve the first one again..
. 20x²-60x
------------------------------------
24x-72 Now it is simplified

24x=72
x=3 answer is 3

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X - y =2 X + y= -3 What is (x,y)

Dimas [21]

Answer:

(-1/2,-5/2)

Step-by-step explanation:

x-y = 2

x+y = -3

---------------

Through Elimination, we can just add the system of equations. The y cancels out and gives us the single equation for x:

2x = -1

x = -1/2

Substitute -1/2 for x in either equation and you get:

(-1/2) + y = -3 Solve for y

y = -5/2

--------------

8 0

3 years ago

Wanni cycled 6 km from her house to the school at a uniform speed, v km/h. If she increased her speed

Karolina [17]

Answer:

The quadratic equation in terms of v is v² + 2 v + 180 = 0

Step-by-step explanation:

Given as :

The distance between house to the school = d = 6 km

The uniform speed = v km/h

So, Time = $\dfrac{\textrm Distance}{\textrm speed}$

or, t = $\dfrac{\textrm d}{\textrm v}$

Or, t = $\dfrac{\textrm 6}{\textrm v}$

Now, Again

The speed is increase by 2 km/h

i.e speed = (v + 2) km/h

So, Time taken = t' = (t - $\dfrac{4}{60}$ )hours

i.e t' = (t - $\dfrac{1}{15}$ )hours

Now, Time = $\dfrac{\textrm Distance}{\textrm speed}$

So, (t - $\dfrac{1}{15}$ ) = $\dfrac{\textrm d}{\textrm v}$

Or, (t - $\dfrac{1}{15}$ ) = $\dfrac{\textrm 6}{\textrm (v + 2)}$

Or , $\dfrac{\textrm 6}{\textrm v}$ - $\dfrac{1}{15}$ = $\dfrac{\textrm 6}{\textrm (v + 2)}$

Or , $\dfrac{\textrm 90 - v}{\textrm 15 v}$ = $\dfrac{\textrm 6}{\textrm v + 2}$

Or, (90 - v) × (v + 2) = 6 × 15 v

Or, 90 v - 180 - v² - 2 v = 90 v

Or, v² + 2 v + 180 = 90 v - 90 v

Or, v² + 2 v + 180 = 0

So, The quadratic equation in terms of v

v² + 2 v + 180 = 0

Hence The quadratic equation in terms of v is v² + 2 v + 180 = 0 Answer

3 0

3 years ago

Help !!!!!!!!!!!!!!!!!!!!!!!!!!

Blizzard [7]

Step-by-step explanation:

so 5/9(86-32) then you take

86-32=(54)

now it look like C=5/9=(54)

C=30

so c=30 is the answer :)

4 0

3 years ago

The length of a rectangle is 4 less than three times its width. The perimeter is 72 feet. What are the dimensions of the rectang

Liono4ka [1.6K]

Say width equals x.
Length = 3x - 4
Solve for x: 72 = 2(3x - 4) + 2x
72=6x-8+2x
80=8x
X=10
So width = 10
Length= 3(10) - 4 = 26

8 0

3 years ago

What is two numbers that when added equal 25 but when multiplied equal negative 200

Law Incorporation [45]

Well lets look at it lets find multiples that equal 200 when multiplied first to get rid of extra work

so i just took a couple of guesses and lined them up
i got really close when i did this one
-200/30 = -6.666666667
30 + 6.666666667 = 23.33333333
see not quite there almost 25 but not far enough
so ill try to move the numbers around little by little.
-200/29.5 = -6.779661017
29.5 + -6.779661017 = 22.72033898
okay honestly after i finished this trial i wasn't sure if i was thinking straight because i completely didnt think about which way i needed to go so now i pinched myself and this time we might head the right way lol
-200/30.5 = -6.557377049
30.5 + -6.557377049 = 23.94262295
so obviously we need to move up alittle more
-200/31 = -6.451612903
31 + -6.451612903 = 24.5483871
HEY LOOK WE ARE ALMOST THERE!! lets try some more;)
-200/31.5 = -6.349206349
31.5 + -6.349206349 = 25.15079365
see we are at 25! but lets try to get rid of as many numbers behind it as possible.
-200/31.4 = -6.369426752
31.4 + -6.369426752 = 25.03057325
getting closer...
-200/31.39 = -6.371455878
31.39 + -6.371455878 = 25.01854412
what does this mean? this means we can go lower... sooo here we go
-200/31.38 = -6.373486297
31.38 + -6.373486297 = 25.0065137
i guess we can try lower..
-200/31.37 = -6.375518011
31.37 + -6.375518011 = 24.99448199
wait! before you leave! try 31.379
-200/31.379 = -6.37368941
31.379 + -6.37368941 = 25.00531059
okay so yes, i am taking the very long way but good comes to those with patience:D lets try making the third place after the decimal a little bit lower
-200/31.377 = -6.374095675
31.377 + -6.374095675 = 25.00290432
yes we can take it lower so lets make it the best answer
-200/31.376 = -6.374298827
31.376 + -6.374298827 = 25.00170117
i pray this be over soon^ lets try again....
-200/31.375 = -6.374501992
31.375 + -6.374501992 = 25.00049801
okay im a perfectionist... sooo lets go lower
-200/31.374 = -6.37470517
31.374 + -6.37470517 = 24.99929483
okay so we went to low on the third place. and of course i am moving to the fourth place...
-200/31.3749 = -6.374522309
31.3749 + -6.374522309 = 25.00037769
okay we can move lower on that place....
-200/31.3748 = -6.374542627
31.3748 + -6.374542627 = 25.00025737
lets try to move this along faster...
-200/31.3746 = -6.374583262
31.3746 + -6.374583262 = 25.00001674
every number counts literally so moving lower
-200/31.3744 = -6374623897
31.3744 + -6374623897 = 24.9997761
we gotta put a 9 on our fifth place from our decimal sooo here we go again
-200/31.37449 = -6.374605611
31.37449 + -6.374605611 = 24.9998439
OMG DO YOU UNDERSTAND WHAT THIS MEANS!!?!?!
okay that means our answer was two trials ago solved
in other words our two numbers arreee
 31.3746
-6.374583262
hallelujah we are finished and if this is wrong i will pull my hair out.

7 0

3 years ago