C' = (- 2, - 5 )
The line y = - 1 is a horizontal line passing through all the points with a y- coordinate of - 1
C= (- 2 , 3 ) and is 4 units vertically above y = -1 → (3 - (- 1))
The reflection will therefore be 4 units below y = - 1
- 1 - 4 = - 5 ← y-coordinate
The x- coordinate remains unchanged, thus
C' = (- 2, - 5 )
Answer:
a) The basic rate of pay is 6 sterling pounds per hour.
b) The higher rate of pay is 10 sterling pounds per hour.
Step-by-step explanation:
Both segments of the curve are first order polynomials, which means that each have constant slopes.
a) The basic rate of pay is the value of the slope (
), in sterling pounds per hour, of the line for the first 20 hours worked, that is:
(1)
Where:
- Change in hours worked, in hours.
- Change in pay, in sterling pounds.
If we know that 
and 
, then the basic rate is:
The basic rate of pay is 6 sterling pounds per hour.
b) By using (1), we calculate the higher rate of pay below. If we know that 
and 
, then the higher rate is:
The higher rate of pay is 10 sterling pounds per hour.
Answer:
In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x⁻¹, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number.
Step-by-step explanation:
To find the reciprocal, divide
1
by the number given.
1
3
6
Simplify.
Tap for fewer steps...
Cancel the common factor of
3
and
6
.
Tap for fewer steps...
Factor
3
out of
3
.
1
3
(
1
)
6
Cancel the common factors.
Tap for fewer steps...
Factor
3
out of
6
.
1
3
⋅
1
3
⋅
2
Cancel the common factor.
1
3
⋅
1
3
⋅
2
Rewrite the expression.
1
1
2
Multiply the numerator by the reciprocal of the denominator.
1
⋅
2
Multiply
2
by
1
.
2
Answer:
960
Step-by-step explanation:
We can find the number of unique combinations by
Multiplying 4*5*6*8
960
There are 960 possible choices by picking 1 from each group
