How many linear equations make up a system of linear equations?
1 answer:
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Answer:
x = -3,
Step-by-step explanation:
The given quadratic equation is:
This can be written as:
To solve a quadratic equation of the form we use the formula:
Here, a = 2; b = 3; c = - 9
Therefore, the roots of the equation are:
We get two values of 'x', viz.,
x = and
⇒ x = -3, 3/2
Since the factors of the quadratic equation is asked, we write it as:
(x + 3)(x - ) = 0
because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.
Multiply (x + 3) and (x - to see that this indeed is the given quadratic equation.
Answer:
10%
Step-by-step explanation:
Given: CP of lemon is $600.
3/4 of lemon sold at 20% loss
Remaining lemon at 20% gain.
Considering the quantity of lemon remain constant.
Cost price of 3/4 of lemon=
As given, 3/4 of lemon sold at 20% loss.
∴ Selling price of
Selling price=
Hence, selling price of 3/4 lemon is $360.
Now, the cost price of remaining lemon
∴ The cost price of
As given, remaining
∴ Selling price of
Selling price of
Hence, selling price of 1/4 lemon is $180
Loss\profit percent=
∴ Loss\profit percent=
Hence, the loss percentage is 10%