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Talja [164]
3 years ago
13

Kara partitions 16 dimes into equal groups in 3 different ways.  She puts more than1 dime in each group.  She makes 2 or more gr

oups for each way.  Describe the group that Kara made 
Mathematics
1 answer:
qaws [65]3 years ago
5 0
First look at all of the factors of 16:
(1, 16) (Cannot have only one group so this one does not work)
(2, 8) (this one is two equal groups of eight because 2x8 is 16)
(4, 4) (this one is four equal groups of four because 4x4 is 16)
(8, 2) (this one is eight equal groups of two because 8x2 is 16)

You can put it into two equal groups of 8 because 16/2 is 8
You can put it into four equal groups of 4 because 16/4 is 4
You can put it into eight equal groups of 2 because 16/8 is 2

I hope this helps!
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kenny6666 [7]

Answer: y=2x^{2}-5x+7

Step-by-step explanation:

The quadratic equation in its standard form is:

y=ax^{2}+bx+c

Now, we are given 5 points of the parabola (if you graph a quadratic equation you will have a parabola), however we only need to choose three points to find the coeficients a, b and c in the quadratic equation.

So, let's choose the first three points:

(-1,14):

14=a(-1)^{2}+b(-1)+c

14=a-b+c (1)

(0,7):

7=a(0)^{2}+b(0)+c

7=c (2)

(1,4):

y=2x^{2}-5x+7

4=a(1)^{2}+b(1)+c

4=a+b+c (3)

Substituting (2) in (1) and (3):

14=a-b+7 (4)

4=a+b+7 (5)

At this point we have a system with two equations.

Adding (4) to (5):

18=2a+14 (6)

Isolating a:

a=2 (7)

Substituitng (7) in (3):

4=2+b+7 (8)

Isolating b:

b=-5 (9)

Now we have the three coeficients and we can write the quadratic equation:

y=2x^{2}-5x+7

8 0
4 years ago
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