Answer:
Step-by-step explanation:
a) The cost of a product is given as:
Cost = a + bx
Where a is the fixed cost, b is the variable cost, x is the independent variable.
In this case, the independent variable is the distance(d), therefore:
Cost (C) = a + bd
C = a + bd
But the variable cost is $10/km, therefore:
C = a + 10d
A 2.5 km trip cost $40, therefore:
40 = a + 10(2.5)
40 = a + 25
a = 40 - 25 = 15
The fixed cost is $15. Therefore the equation for cost is:
C = 15 + 10d
b) C = 15 + 10d
For 6.5 km ride:
C = 15 + 10(6.5) = 15 + 65 = 80
It would cost $80 for a 6.5 km drive.
Answer:
x = - 2, x = 6
Step-by-step explanation:
Given f(x) = 18 we require to solve
3 | x - 2 | + 6 = 18 ( subtract 6 from both sides )
3 | x - 2 | = 12 ( divide both sides by 3 )
| x - 2 | = 4
The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus
x - 2 = 4 ( add 2 to both sides )
x = 6
OR
- (x - 2) = 4
- x + 2 = 4 ( subtract 2 from both sides )
- x = 2 ( multiply both sides by - 1 )
x = - 2
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
x = 6 → 3|6 - 2| + 6 = 3|4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True
x = - 2 → 3|- 2 - 2| + 6 = 3|-4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True
Hence solutions are x = - 2, x = 6
Answer is : 2^(7/6) x^(5/3) y^(1/6)
See attachment file below.
Follow the steps...
Hope it helped!
Answer:
The circumference of the circle is: "
37. 7 in." ; or, write as:
"
12 
in. " .
______________________________________________________Explanation:______________________________________________________A square has all 4 (four) sides of equal length.
If the perimeter of the square = 48 inches;
the side length of each side of the square = "48 in. ÷ 4 = 12 in." ;
→ "12 in. = the diameter, "d", of the circle within the square" .
The formula for the Circumference, "C" , of a circle, is:
"C =
* d " ;
C =
* d ;
d = 12 in.
C = "
12 in. " ;
or; calculate the Circumference, "C", of the circle; using: "3.14" as an approximation for
;
C =
* d ;
= (3.14) * (12 in.) ;
= 37.68 in. ; round to: "
37. 7 in." .
_____________________________________________________Answer: The circumference of the circle is: "
37. 7 in." ; or, write as:
"
12 in. " .
_____________________________________________________
