Parallel lines have the same slope.
To compare the slopes of two different lines, you have to get
both equations into the form of
y = 'm' x + (a number) .
In that form, the 'm' is the slope of the line.
Notice that it's the number next to the 'x' .
The equation given in the question is y = 3 - 2 x .
Right away, they've done something to confuse you.
You always expect the 'x' term to be right after the 'equals' sign,
but here, they put it at the end. The slope of this line is the -2 .
Go through the choices, one at a time.
Look for another one with a slope of -2 .
Remember, rearrange the equation to read ' y = everything else ',
and then the slope is the number next to the 'x'.
Choice #4: y = 4x - 2 . The slope is 4 . That's not it.
Choice #3: y = 3 - 4x . The slope is -4 . That's not it.
Choice #2). 2x + 4y = 1
Subtract 2x from each side: 4y = 1 - 2x
Divide each side by 4 : y = 1/4 - 1/2 x .
The slope is -1/2. That's not it.
Choice #1). 4x + 2y = 5
Subtract 4x from each side: 2y = 5 - 4x
Divide each side by 2 : y = 5/2 - 2 x .
The slope is -2 .
This one is it.
This one is parallel to y = 3 - 2x ,
because they have the same slope.
The rockets rate of change in miles per second is:
(5 - 1)/(2.5*60 - 30) = 1/30 miler per second or 0.033
the rockets rate of change in miles per minute is:
(5 - 1)/(2.5 - 30/60) = 2 miles per minute
Answer:
Step-by-step explanation:
In costing analysis, direct materials, labour and direct expenses aggregate to prime cost. Alternately, the aggregate of indirect materials, labour and expenses is termed as overhead. Overheads are classified into fixed and variable.
Variable overhead is one which varies directly as per number of units produced
Variable overhead rate variance = actual costs -(AHxSR)
= Actual costs - (Actual hours x std rate)
= Actual hours x actual rate - actual hours x std rate
Hence option D is right.
Answer:
The Range (Statistics) The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6. It is that simple!
Step-by-step explanation:
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
It is the first graph. The median of the number list is 14. The Q1 is 9 ((7+11)/2) and the Q3 is 17 ((19+15)/2) the two outliers are 6 and 21
