Answer:
D (x-10)
Step-by-step explanation:
x^2 - 8x - 20
(x -10)(x+2)
Answer:
Radius=2.09 cm
Height,h=14.57 cm
Step-by-step explanation:
We are given that
Volume of cylinderical shaped can=200 cubic cm.
Cost of sides of can=0.02 cents per square cm
Cost of top and bottom of the can =0.07 cents per square cm
Curved surface area of cylinder=
Area of circular base=Area of circular top=
Total cost,C(r)=
Volume of cylinder,
Substitute the value of h
Differentiate w.r.t r
Again, differentiate w.r.t r
Substitute the value of r
Therefore,the product cost is minimum at r=2.09
h=
Radius of can,r=2.09 cm
Height of cone,h=14.57 cm
Answer:
2nd possible answer is the correct one; the const. of var. is 1/3.
Step-by-step explanation:
xy = 1/3 can be rewritten in inverse variation format: Divide both sides by x to isolate y. Then y = (1/3)(1/x). The constant of (inverse) variation is 1/3.
Answer:
C(x) = 5x + 20 (for members)
C(x) = 3.5x (for non-members)
Step-by-step explanation:
Cost of membership = $20
Price of a game per month = $5
So, the linear equation to compute the total cost for a member can be computed by:
C(x) = 5x + 20
where x is the number of games per month
On the other hand, non-members can get one more game per month for $7 which means they get 2 games for $7. The price for a single game is $7/2 = $3.5 a month.
The linear equation to compute the total cost for a non-member is:
C(x) = 3.5x
where x is the number of games per month.
The following system of equations can be used to decide whether to become a member or not, by substituting the number of games in place of x and finding out the total cost.
C(x) = 5x + 20 (for members)
C(x) = 3.5x (for non-members)
Answer:
-1
Step-by-step explanation:
1.)Reorder the terms:
7(8 + x) = 49
(8 * 7 + x * 7) = 49
(56 + 7x) = 49
2.)Solving
56 + 7x = 49
3.)Solving for variable 'x'.
4.)Move all terms containing x to the left, all other terms to the right.
5.)Add '-56' to each side of the equation.
56 + -56 + 7x = 49 + -56
6.)Combine like terms: 56 + -56 = 0
0 + 7x = 49 + -56
7x = 49 + -56
7.)Combine like terms: 49 + -56 = -7
7x = -7
8.)Divide each side by '7'.
x = -1
9.)Simplifying
x = -1
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