Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation = 
For real roots,
p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.
Answer:
She realised $12 from selling 8 bags of caramel corn
Step-by-step explanation:
Given
(8, 12)
Required
Determine what it means based on the available information
A function is always written as (x,y)
Where x is dependent on y
By comparison,
x = bags of caramel corn = 8
y = amount realised = 12
Assuming the currency is in dollars
Conclusively,
She realised $12 from selling 8 bags of caramel corn.
Answer:
(0, 2)
Step-by-step explanation:
Both the lines are intersecting each other at point (0, 2)
So, the solution to the system of equations would be (0, 2)
Hope it helps you in your learning process
Answer:
<h2>
yes, 78.50 is the same as 78.5</h2>
<u>Step-by-step explanation:</u>
You can consider 78.50 as 78.5, cause we basically remove the 0 from it. The whole point is, they are both the same.
Answer:
Infinite solutions
Step-by-step explanation:
2x−7y=12 (1)
−x+3.5y=−6 (2)
(2) x = 3.5y + 6
(1) 2(3.5y+6) - 7y = 12
7y + 12 - 7y = 12
12 = 12 (a true statement)
Since the variable got eliminated and we got a true statement, the system has infinitely many solutions.
One of the solutions:
(6,0)
