Step-by-step explanation:
(-2a² + s)(5a² - 6s)
= (-2a²)(5a²) + (-2a²)(-6s) + (s)(5a²) + (s)(-6s)
= -10a⁴ + 12a²s + 5a²s - 6s²
= -10a⁴ + 17a²s - 6s². (1st option)
Answer:
His gain percent would have been 8%
Step-by-step explanation:
The key to answering this question is to first calculate the price at which the wheat flour was bought.
Mathematically;
% profit = (selling price-cost price)/cost price * 100%
Let the cost price be $x
Thus;
% profit = (30-x)/x * 100
20 = 100(30-x)/x
20x = 3000-100x
100x + 20x = 3000
120x = 3000
x = 3000/120
x = Rs 25
So let’s assume he sold at Rs 27
His profit would have been 27-25 = 2
His gain or loss percentage would’ve been;
2/25 * 100/1 = 200/25 = 8% (gain, since selling price is greater than the cost price)
Given a quadratic equation in standard form

The discriminant D

tells the types of roots the equation has.
In this case, we have

Then, the discriminant of this quadratic equation will be

Finally, the value of discriminat is 49 and as he discriminant is greater than zero then this quadratic equation has 2 different real solutions.
Answer: a is in quadratic form
12 is not a perfect square, but 4, a factor of 12, is a perfect square. Thus, separate the problem
sqrt(12) into factors as follows:
sqrt(12) = sqrt(4)*sqrt(2) = 2*sqrt(2) (answer)