Answer:
Step-by-step explanation:
The two equations are
......(1)
2y =
......(2)
Equation (2) can be written as:
y = 
Now these two equations represent a pair of parallel lines.
The equations of any two parallel line differ only by a constant.
Since, these are equations of parallel lines, they don't intersect. If they don't intersect they cannot have solutions.
⇒ The given system of equations has zero solutions.
The 2nd choice, square root of 19 plus 7/2
Answer:
Option 2.
Step-by-step explanation:
Both graphs have positive slopes so will rise to the right so it is either Option 1 or 2.
y = 4/3x-4
y = 2/3x-6
4/3x - 4 = 2/3x - 6 as they are both equal to y.
2/3x = -2
x = -2 * 3/2 = -3.
y = 4/3 * -3 -4 = -8.
- so it is Option 2.
In the case of whole numbers, dividing 2 by itself would prove the conjecture false.
2/2 = 1
2/8 = 0.25
Answer:
<h3>x = 3/2 ± √(61/20)</h3>
Step-by-step explanation:
5x² - 15x - 4 = 0
Add 4 to both sides.
5x² - 15x = 4
The coefficient of 5x² is 5, divide both sides by 5.
x² - 3x = 4/5
The coefficient of -3x is -3. Let b=-3.
Then we need to add (b/2)^2=9/4 to both sides to complete the square.
Add 9/4 to both sides.
x² - 3x + 9/4 = 61/20
Factor left side.
(x-3/2)² = 61/20
Take square root of both sides.
x-3/2 = ± √(61/20)
Add 3/2 to both sides.
x = 3/2 ± √(61/20)