3) A school's enrollment in 2019 was 692 students. In 2020 they enrolled 852 students. What was the % increase in students from
1 answer:
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Answer:
(a) The system of the equations has no solution.
(b) The system of the equations has many solutions
Step-by-step explanation:
(a) To find the solutions of the following system of equations you must:
Multiply by 2:
Subtract the equations
0 = -3 is false, therefore the system of the equations has no solution.
(b) To find the solutions of the system you must:
Isolate x for
Substitute into the second equation
The system has many solutions.
Isolate y for
9514 1404 393
Answer:
13 in by 51 in
Step-by-step explanation:
The area is the product of the dimensions, so is ...
663 = x(4x -1)
4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form
Using the quadratic formula, we can find the solutions.
x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))
x = (1 ± √10609)/8 = (1 ±103)/8
Only the positive solution is of any use in this problem, so ...
x = 104/8 = 13
4x-1 = 4(13)-1 = 51
The dimensions of the rectangle are 13 inches by 51 inches.
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I find it easiest to solve these using a graphing calculator.
