Answer:
We have been given an equation
We will factorize it by middle term splitting.
Step 1:
Taking common factors out by clubing first two terms ad last two terms
Step 2:
Step 3:
Equating both above factors to zero as:
Step 4:
And .
Gary deposits $1,500 into each of two savings accounts. Account I earns 5% annual simple interest. Account II earns 5% interest
1 answer:
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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:
The number of men was
The number of women was
Step-by-step explanation:
The question in English is
Having organized a bingo has raised $1900. For the entrance of men $15 and women $10 and an attendance of 150 people has been reported. Determine the number of men and the number of women who participated in the bingo.
Let
x----> the number of men
y----> the number of women
we know that
-----> equation A
-----> equation B
substitute equation A in equation B and solve for y
Find the value of x
therefore
The number of men was
The number of women was