6. A factory has two types of machines.
2 answers:
210 pieces
Step-by-step explanation:
First, you need to figure out how many pieces a single machine can cut in a minute, so you need to divide 105 by 3, which gets you 35 pieces per minute.
Next, since we know there are 6 machines, and one machine canncut 35 pieces per minute, we can the figure out how many pieces all 6 cutting machines can cut in 1 minute. You would do this by making an equation such as this:
The x represents the total number of pieces cut by all 6 machines in one minute.
Next, since we now have an equation, we can go ahead and solve it. We would multiply 35 by 6, which would get us 210 pieces per minute that can be cut by all six machines
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Answer:
Option (5)
Step-by-step explanation:
Graph of a function f(x) = x represents a straight straight line (y = x), passing through the origin (0, 0).
As shown in the graph,
Let the equation of the given line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
Since, the given line passes through two points (0, -1) and (-1, 2)
Slope of the line 'm' =
= -3
y-intercept 'b' = -1
Therefore, equation of the line will be,
y = -3x - 1
And the function is,
g(x) = -3x - 1
Here, (-3) represents the reflection of parent function over the x axis, vertical stretch of the parent function by 3 units.
Followed by the shifting of parent function by 1 unit down.
Therefore, Option (5) is the answer.