You can do substitution 2x-2=x^2 -x -6; isolate all terms on one side 0= x^2 -x-2x -6+2; combine like terms x^2 -3x -4=0; factor the quadratic (x-4)(x+1)=0; each term is zero x-4=0 so x=4 and x+1=0 so x=-1. Now, y=2•4-2=6 and y=2•(-1) -2= -4 ; solutions for the system are ( 4,6) and ( -1, -4)

8 0

3 years ago

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A dolphin jumps 54 times in a 6 hour

Kazeer [188]

Answer:

18 jumps would be expected in a 2 hour period.

Step-by-step explanation:

Given : A dolphin jumps 54 times in a 6 hour period.

To find : At this rate, how many jumps would be expected in a 2 hour period?

Solution :

Applying unitary method,

In 6 hour period Dolphin jumps 54 times.

In 1 hour period Dolphin jumps $\frac{54}{6}$ times.

In 1 hour period Dolphin jumps 9 times.

In 2 hour period Dolphin jumps $2\times 9$ times.

In 2 hour period Dolphin jumps 18 times.

Therefore, 18 jumps would be expected in a 2 hour period.

8 0

3 years ago