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DochEvi [55]
3 years ago
14

he work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2). What will be the remainder over the divisor?

Mathematics
2 answers:
Marysya12 [62]3 years ago
5 0

Answer:

Remainder is 1.

Step-by-step explanation:

Given is an algebraic quadratic function in x as

x^2+3x-9

and we have to divide by x-2.

We find that leading terms are x square and x so quotient I term is x.

x-2) x^2+3x-9(x+5\\       x^2-2x\\       -----------\\              5x-9\\               5x-10\\      ----------------\\                    +1\\       -----------------

Hence quotient is x+5 and remainder is 1

exis [7]3 years ago
3 0

remainder = 1

(x² + 3x - 9 )÷ (x - 2 ) =  x + 5 + \frac{1}{x-2}


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Darla drives at a constant speed of 45 miles per hour. If she drives for y miles and it takes her x hours, write the two-variabl
Darya [45]

Answer:

y = 45x miles

Step-by-step explanation:

Speed is the rate of change of distance with time. Mathematically,

speed = distance/time

Given that Darla travels at a constant speed of 45 miles per hour and for y miles, it takes her x hours then

45 = y/x

multiply both sides by x

45x = y

then the number of miles (y) Darla can drive in x hours

y = 45x (in miles)

7 0
2 years ago
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klemol [59]
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4 0
3 years ago
Write the result of subtracting the second equation from the first?
aksik [14]

Answer:

Could you please put a link to the question???

Step-by-step explanation:

We can only solve the question if you give us more info about the question.

8 0
3 years ago
Patrick went cycling one weekend.
Margarita [4]
For this question, it would be most effective to use an algebraic expression to more easily show what the question is asking. If we use the variable "k" to show the distance in km that he cycled on Sunday, we know that the amount he cycled on Saturday equals k + 12, and the amount that he cycled on the weekend should be the amount of Saturday plus the amount of Sunday. If we write this as an equation we say:
k + k + 12 = 38
=> 2k + 12 = 38
Now we can just rearrange and solve for k:
=> 2k = 26
=> k = 26/2 = 13
Therefore Patrick cycled 13km on Sunday
To solve the answer, we just add 12km to the value for Sunday like so:
12 + 13 = the amount he cycled on Sunday
Hope this helped, remember to please try and understand the maths as well as the answer :))
8 0
3 years ago
Joshua uses the escalator in the shopping mall to get to the ground floor from the underground garage located at (12,-5). Which
alina1380 [7]

Answer:

(4,5)

Step-by-step explanation:

Initial location of Joshua in the shopping mall is expressed according to the coordinate (12, -5)

If he undergoes a translation of 8 steps to the left and 10 steps upwards, this means that he moves 8 steps towards the negative x axis and 10 steps towards the positive y axis. The new coordinate will be gotten by adding the translation (-8, 10) to the initial coordinate as shown

New position = (12, -5) + (-8,10)

New position = (12-8, -5+10)

New position = (4, 5)

Hence the coordinates that corresponds to the location of the ground floor when undergoing a translation of 8 steps to the left and 10 steps upwards will be (4,5)

7 0
3 years ago
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