The resolvent is:
x = (- b +/- root (b2 - 4ac)) / 2a
To apply it we must have a polynomial of the form:
ax2 + bx + c = 0
Where,
One side of the equation is zero.
The polynomial must be only grade 2.
The coefficient a must be different from zero.
Answer:
options: B, C, D are correct
Answer: Last Option

Step-by-step explanation:
The initial height of the plant of species A is 25 cm and grows 3 centimeters per month.
If m represents the number of months elapsed then the equation for the height of the plant of species A is:

For species B the initial height is 10 cm and it grows 8 cm each month
If m represents the number of months elapsed then the equation for the height of the plant of species B is:

Finally, the system of equations is:

The answer is the last option
Answer:
, where x= width of the rectangle ( in inches).
Step-by-step explanation:
Let x= width of the rectangle ( in inches).
Then its length = 2x-7 ( in inches).
Area of rectangle = Length × width
= (2x-7) × (x)
= 2x × x -7 ×x
= 2x²-7x
The area of the rectangle is 72 square inches.

Hence, the equation that represents the given situation :

Answer:
1. x = 2
y = 1
2. x = 3 or 6 (Mistake or typo in problem)
3. y = 13
4. x = 7
y = 15
5. x = 4
Step-by-step explanation:
1. 6x - 3 = x + 7, 5x = 10, x = 2
3y + 2 = y + 4, 2y = 2, y = 1
2. There is most likely a typo. Either 8x = 24 and x = 3 or 2x + 10 = 3x + 4 and x = 6
3. 5y -3 = 2y + 36, 3y = 39, y = 13
4. 8y + 11 + 3y + 4 = 180, 11y + 15 = 180, 11y = 165, y = 15
7x = 3y + 4 = 49, x = 7
5. 7x - 10 = 4x + 2, 3x = 12, x = 4