Answer:
z =
, z = 3
Step-by-step explanation:
The absolute value function always returns a positive value.
However, the expression inside can be positive or negative, that is
5z - 8 = 7 ( add 8 to both sides )
5z = 15 ( divide both sides by 5 )
z = 3
OR
- (5z - 8) = 7
- 5z + 8 = 7 ( subtract 8 from both sides )
- 5z = - 1 ( divide both sides by - 5 )
z = 
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions
z = 3
left side = | 15 - 8 | = | 7 | = 7 = right side
z = 
left side = | 1 - 8 | = | - 7 | = 7 = right side
Thus z =
, z = 3 are the solutions
Answer:
f(x) = 0.85x
g(x) = 0.85x - 100
Step-by-step explanation:
Given that :
Sale price = 15% off the item price
Let original price = x
Hence, sale price = (100 - 15)%
Let the sale price function = f(x)
f(x) = 0.85x
Where, x = price before 15% off
Customer also has a coupon discount of 100 pesos
Let coupon discount price = g(x)
g(x) = f(x) - 100
Hence,
g(x) = 0.85x - 100
x = price before 15% off
It will be x multiplied to square root x.
Answer:
1 and 2 are not polyhedrons, as a circle has infinite sides
1. cone, 1 vertex
2. sphere, nothing
3. pentagonal prism?
wait but can't every face be a base???
anyway 7 faces, 10 vertices
4. triangular prism
5 faces, 6 vertices
Step-by-step explanation: