1. Let x be the original amount of baseball cards,
2. half of x was lost so x divided by 2.
3. you buy 18 cards to replace some that were lost
4. You can find the awnser by subtracting 18 from 30, which is 12.
5. Now lets remember that half of your cards were lost. meaning that 12 is only half of what you started with.
6. 12 times 2 would be 24.
7. The Awnser is 24
8. To check your work, you can say x=24, 24 divided by 2 is 12, and 12 plus 18 is 30.
Answer:
add them all up which is 40 then divide by the amount of numbers there are. in this case 5, so 40 ÷ 5 = 8
Hello :
the system of equations can be used to find the roots of the equation 12x^3-5x=2x^2+x+6 is : y = 12x^3-5x
y = 2x^2+x+6
Answer:
But this condition is not feasible so, from given equation the value of D is not determine
Step-by-step explanation:
Given equation is :
= 22 - 3
Or, 
= 18
Or 0 = 18
But 0 ≠ 18
but this condition is not feasible so, from given equation the value of D is not determine .. Answer
If <em>y</em> = <em>y(x)</em>, then the slope of the tangent line to (1, 1) is equal to the value of the derivative d<em>y</em>/d<em>x</em> when <em>x</em> = 1 and <em>y</em> = 1.
Compute the derivative using implicit differentiation:
d/d<em>x</em> [<em>xy</em> ^2 + <em>y</em>] = d/d<em>x</em> [2<em>x</em>]
d/d<em>x</em> [<em>xy</em> ^2] + d/d<em>x</em> [<em>y</em>] = 2 d/d<em>x</em> [<em>x</em>]
(<em>x</em> d/d<em>x</em> [<em>y</em> ^2] + d/d<em>x</em> [<em>x</em>] <em>y</em> ^2) + d<em>y</em>/d<em>x</em> = 2
2<em>xy</em> d<em>y</em>/d<em>x</em> + <em>y</em> ^2 + d<em>y</em>/d<em>x</em> = 2
(2<em>xy</em> + 1) d<em>y</em>/d<em>x</em> = 2 - <em>y</em> ^2
d<em>y</em>/d<em>x</em> = (2 - <em>y</em> ^2) / (2<em>xy</em> + 1)
Plug in <em>x</em> = 1 and <em>y</em> = 1 :
slope = d<em>y</em>/d<em>x</em> = (2 - 1^2) / (2*1*1 + 1) = 1/3
Now use the point-slope formula to get the equation of the line:
<em>y</em> - 1 = 1/3 (<em>x</em> - 1)
<em>y</em> = <em>x</em>/3 + 2/3
