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Blizzard [7]
2 years ago
7

HELP ME PLEASE!!!!!!

Mathematics
1 answer:
Deffense [45]2 years ago
5 0

9514 1404 393

Answer:

  -2x +4

Step-by-step explanation:

We can write the polynomial p(x) in terms of the factors (x+2) and (x-3) as ...

  p(x) = (x+2)(x-3)q(x) +ax +b

Where ax+b is the remainder from division by x^2 -x -6 = (x+2)(x-3). The values of 'a' and 'b' can be found from ...

  p(-2) = 8 = -2a +b

  p(3) = -2 = 3a +b

Subtracting the first equation from the second gives ...

  (3a +b) -(-2a +b) = (-2) -(8)

  5a = -10

  a = -2

Then the first equation tells us ...

  8 = -2(-2) +b

  4 = b

So, the remainder from division by (x^2 -x -6) is (-2x +4).

You might be interested in
Find the difference: -7 -− (-2) =<br> A<br> 9<br><br> B<br> -9<br><br> C<br> 5<br><br> D<br> -5
AveGali [126]

Answer: B. −9

Step-by-step explanation: -7--(-2)

−7+−2

−9

8 0
3 years ago
Convert 30 mph to meters per s3cond and round to the nearest tenth​
Tamiku [17]

Answer:

13.4

Step-by-step explanation:

Divide the number of meters in a mile (1,609.344) by the number of seconds in an hour (3,600): 1,609.344 divided by 3,600 equals 0.44704. One mile per hour equals 0.44704 meters per second.

8 0
3 years ago
I do not understand these.
Vladimir [108]

Answer:

k(-1) = 7.

Step-by-step explanation:

k(-1) is the value of the function k when x = -1.

You read this off the graph.

Find the value of the point  on the graph which corresponds to x = -1.  From x = -1 on the horizontal axis move straight up until you meet the graph of k. Now look horizontally to the right  and read off the value on the vertical

 y-axis

You'll find it is 7.

6 0
3 years ago
Lauren drew a triangle. Its sides were 7\text{ mm}7 mm7, start text, space, m, m, end text, 9\text{ mm}9 mm9, start text, space,
kkurt [141]

Answer: The triangle has two angles of 49.99° and one angle of 80.02°

Step-by-step explanation:

We have a triangle with sides of 7mm, 9mm and 7mm

The triangle has two equal sides, so this means that this is a Isosceles triangle.

The angles are

The base of this triangle is the side with 9mm, and the two base angles are equal.

We can find the base angles by drawing a line from the middle of the base to the top vertice, then we will have a triangle rectangle with a hypotenuse of 7mm, a adjacent cathetus of 4.5 mm, and with this two things we can find the base angle by using the relation

cos(a) = adjacent cathetus/hypotenuse = 4.5mm/7mm

a = Acos(4.5/7) = 49.99°

Then in our isosceles triangle we have two base angles of 49.99°

To find the other angle we can use the fact that the 3 inner angles of a triangle adds up top 180°

Then

49.99° + 49.99° + A = 180°

A = 180° - 2*49.99° = 80.02°

8 0
3 years ago
Fresh milk costs 12.50 per liter what is the cost of y liters of fresh milk?​
victus00 [196]

Answer:

12.50y

Step-by-step explanation:

  1. If 1 ltr=12.50
  2. what about y ltrs

Therefore, 1 ltr= 12.50

y ltrs=?

you do cross multiplication

hence, 12.50 × y= 12.50y

total cost= sh.(12.50y)

8 0
2 years ago
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