Factor the expression. X^2- 10xy + 24y?
1 answer:
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Answer:
Axis of Symmetry: x = 3
Vertex: (3, 5)
Step-by-step explanation:
Use a graphing calc.
The machine will sort 11050 packages when it is operating at 85% capacity.
To solve this question, we have to find the rate at which the machine is operating at 85% capacity.
Data;
- 13,000 at 100%
- x at 85%
This is used to compare two values with respect to one another mostly under similar conditions.
cross multiply both sides and solve for x
The machine will sort 11050 packages when it is operating at 85%
Learn more on rates here;
Answer:
a)
Reduced Row Echelon:
Solution to the system:
b)
Reduced Row Echelon:
Solution to the system:
x_2 is a free variable, meaning that it has infinite possibilities and therefore the system has infinite number of solutions.
Step-by-step explanation:
To find the reduced row echelon form of the matrices, let's use the Gaussian-Jordan elimination process, which consists of taking the matrix and performing a series of row operations. For notation, R_i will be the transformed column, and r_i the unchanged one.
a)
Step by step operations:
1. Reorder the rows, interchange Row 1 with Row 2, then apply the next operations on the new rows:
Resulting matrix:
2. Set the first row to 1
Resulting matrix:
3. Write the system of equations:
Now you have the reduced row echelon matrix and can solve the equations, bottom to top, x_1 is column 1, x_2 column 2 and x_3 column 3:
b)
1.
Resulting matrix:
2. Write the system of equations:
Now you have the reduced row echelon matrix and can solve the equations, bottom to top, x_1 is column 1, x_2 column 2 and x_3 column 3:
x_2 is a free variable, meaning that it has infinite possibilities and therefore the system has infinite number of solutions.
Answer:
Step-by-step explanation:
We need to find the probability that the mechanic will service or more cars.
It's a simpler one given that we have the probabilities of servicing 4 or less cars.
P(at least 5 cars) is given by subtracting the probabilities of servicing both 3 and 4 cars.