Answer:
Step-by-step explanation:
To evaluate or simplify expressions with exponents, we use exponent rules.
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
Answer:
It costs $0.216 to make smaller can and $0.324 to make larger can
Step-by-step explanation:
Given:
The ratio of the surface areas = 4:9
Area of smaller cans = 36 sq in
Cost = $0.006 per square inch
To Find:
how much does it cost to make each can = ?
Solution:
Lets the area of the larger can be x
the ratio is 4 : 9
then 4x = 9.(36)
4x = 216
x = 54
The area of the larger can is 54 sq in
Now the cost of making the smaller can = 
= $0.216
The cost of making the Larger can = 
=$0.324
Answer:
72
Step-by-step explanation:
36 x 2 = 72
To check your answer:
72 / 2 = 36
Answer:
x + 50° + 70° = 180°
or, x + 120° = 180°
or, x = 180° - 120°
•°• x = 60°
Step-by-step explanation:
x + 50° + 70° = 180° ( Due to Straight line )
<span>y=-4/x+1 is ambiguous, since it's not immediately clear whether you meant
-4
y = -4/x + 1 or y = ---------
x+1
I'm going to assume that the latter is what you meant.
1. Interchange x and y, obtaining:
-4
x = --------
y+1
2. Solve this for y, obtaining y+1 = -4/x, or xy + x = -4, or
-x - 4
xy = -x-4, or y = ---------
x
-1 -1 4
3. Replace y with f (x): f (x) = -1 - -----
x
This last result has the correct form.</span>
