Let u = x², then we would have u² + 5u - 6 = 0
From here, we can factor it and get us (u-1)(u+6) = 0
So our solution for u is u = -6 or 1.
Now substitute u back to x².
x² = -6 or 1
x = ±√(-6) or ±√1
Since ±√(-6) is not real number, we ignore it.
Which leave us x = ±√1 = <span>±1
So our real solution is x = -1 or 1.</span>
Answer:
C
Step-by-step explanation:
Volume in math means s the amount of space in a 3D object.
the formula is l × W × H
So you do 25 × 11.25 × 6
it equals to 1687.5.
Therefore, the volume of the brick is 1687.5
Answer : It is possible to form a triangle
Explanation : To form a triangle, sum of angles should be equal to 180
72 + 48 + 60 = 180 So, triangle is formed
Therefore the following statement is possible.
Answer:
y = 5x+7
Step-by-step explanation:
Parallel lines have the same slope so y = 5x+9 is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 5
The new line will have a slope of 5
y = 5x+b
We know a point on the line (-2,-3)
Substitute this point into the equation
-3 = 5(-2)+b
-3 = -10+b
-3+10 = b
7 = b
y = 5x+7
Answer:
(a) 2min/15units
(b) 1min/20units
(c) The bottleneck stage is cutting. The process capacity is 450units/hour
(d) The capacity of the new employee should be 1unit/2sec. The process capacity will increase four times
Step-by-step explanation:
(a) Cycle time for stage cutting for 2 employees = 16sec/2units × 1min/60sec = 2min/15units
(b) Cycle time for stage sealing for 1 employee = 3sec/1unit × 1min/60sec = 1min/20units
(c) Process capacity of stage cutting = 15units/2min × 60min/1hour = 450units/hour
(d) If the capacity of the new employee is 1unit/2sec, the process capacity = 1unit/2sec × 3600sec/1hour = 1800units/hour. The process capacity increases 4 times (1800/450 = 4)
