answer:
B and C are correct.
explanation:
where ax² + bx + c
\\ Thus we can determine a = 1, b = -5, c = 5 \\
using quadratic equation:
In 14 minutes, Dan has already traveled 840 miles
14 • 60 = 840
Since Jake bikes 210 per minute, you would need to divide the total number of miles that Dan has traveled in 14 minutes (840 miles) by the amount of miles Jake can travel in one minute (210).
840 ÷ 210 = 4 minutes
Answer: 4 minutes
Answer:
65
Step-by-step explanation:
Answer:
a) one solution
b) no solution
Step-by-step explanation:
Systems of equations can be described as having one solution, no solution or infinite solutions:
One solution: 'x' and 'y' are equal to only one value
No solution: 'x' and 'y' can not be solved with the given equations
Infinite solutions: values for 'x' and 'y' include all real numbers
In order to evaluate the systems, putting them in the same format is your first step:
a) - y = -5x - 6 or y - 5x = 6
y - 5x = -6
Since both equations have the same expression 'y - 5x', but there are equal to opposite values, this system would have no solution, as this would not be possible to calculate.
b) y + 3x = -1
y = 3x -1 or y - 3x = -1
Solving for 'y' by adding the equations and eliminating 'x', gives us:
2y = -2 or y = -1
Using y = -1 to plug back into an equation and solve for 'x': -1 + 3x = -1 or x = 0. Since 'x' and 'y' can be solved for a value, the system has just one solution.
The inequality of the given question is x+2y ≥ 150
Step-by-step explanation:
Given,
The mark out of 100 for Term 1 exam and twice the mark out of 100 for the term 3 exam are added together.
And, he needs to obtain 150 to achieve the grade.
To find, the inequality to student mark
Let,
The student got x in Term 1 and y in Term 2.
To be passed, he needs to get x+2y
So, the requited inequality will be x+2y ≥ 150
