Answer:
See below.
Step-by-step explanation:
Let's look at the cost for members (C1) first. Let x be the number of visits.
C1(x) = 12 + 8x
For non-members (C2), we can do the same.
C2(x) = 10x
You can graph these two equations.
x C1 C2
0 12 0
1 20 10
2 28 20
3 36 30
4 44 40
5 52 50
6 60 60
7 68 70
Let's make the two equations equal, to find out where the benefit is the same.
12 + 8x = 10x
2x = 12
x = 6
Up to 5 visits, the non-member cost is better. At 6 visits, there's the same price. For more than 6 visits, the member cost is better.
<span>x^2 - 6x = 7
(x - 7)(x + 1)= 0
x = 7, - 1
The answer is: x = 7, -1.</span>
To generate the equation we set up the factors
(x+3) * (x-1) * (x-2) which equals
x^2 + 2x -3 * (x-2)
x^3 +2x^2 -3x -2x^2 -4x +6 equals
x^3 -3x -4x +6 which equals
x^3 -7x +6
Answer:
From the given picture we can see that , 3 teaspoons = 1 table spoon.....(1)
or 3t=b..(2)
6 teaspoon= 2 tablespoon or 6t=2b
9 teaspoon= 3 table spoon or 9t=3b
Therefore the ratio of teaspoon to tablespoon t:b= 3:1...........(from (1))
Now, 1 tea spoon=
..............[divide 3 on both sides of (1)]
or 
The equation to show the relation between teaspoons and table spoon is given by (2)
3t=b
Answer:
Option C.
Step-by-step explanation:
Given information: The hypotenuse of a 45°-45°-90° triangle measures 22√2 units.
Let x be the length of one leg.
From the given figure it is clear that length of both legs are same.
According to the Pythagoras theorem, in a right angled triangle

Substitute
in the above formula.



Divide both sides by 2.

Taking square root on both sides.

The length of one leg is 22 units.
Therefore, the correct option is C.