Answer:
y = x/4 -1/2
Step-by-step explanation:
given coordinates : ( -2, -1 ) and ( 2 , 0 )
gradient = y2 - y1 / x2 - x1
= 0 - -1 / 2 - -2
= 1/4
equation of line:
y - y1 = m( x - x1 )
y - 0 = 1/4 ( x - 2 )
y = x/4 -1/2
the line shown below to confirm:
Answer:
a mathematical object that possesses a bound is bounded
Step-by-step explanation:
a lower bound is a value that is less than or equal to every element of set of data. a upper bound is a value that is greater than or equal to every element of set of data.
Step-by-step explanation:
a−(6a−(5a−8))
a-(6a-5a+8)
a-6a+5a-8
6a-6a-8
0-8
=-8
so the answer doesn't depend on a
Answer: First half was 24 minutes
Step-by-step explanation:
Let the time taken to finish the second half be y.
Since the student used 2/3 of the second half time to finish the first half, first half = 2/3 × y = 2y/3
The entire exam is an hour which equals 60 minutes
First half + Second half = 60minutes
Note that first half is denoted as 2y/3 and second half is denoted by y.
2y/3 + y = 60
5y/3 = 60
Cross multiply
5y = 60 × 3
5y = 180
y = 180/5
y = 36
Second half took 36 minutes
Since first half is 2y/3, it will be:
(2×36) / 3
= 72/3
= 24minutes
First half took 24 minutes.
The cost of the bond
6×1,000×0.92=5,520