Answer:
2 real solutions
Step-by-step explanation:
We can use the determinant, which says that for a quadratic of the form ax² + bx + c, we can determine what kind of solutions it has by looking at the determinant of the form:
b² - 4ac
If b² - 4ac > 0, then there are 2 real solutions. If b² - 4ac = 0, then there is 1 real solution. If b² - 4ac < 0, then there are 2 imaginary solutions.
Here, a = 6, b = -20, and c = 1. So, plug these into the determinant formula:
b² - 4ac
(-20)² - 4 * 6 * 1 = 400 - 24 = 376
Since 376 is clearly greater than 0, we know this quadratic has 2 real solutions.
<em>~ an aesthetics lover</em>
Answer:
75%
Step-by-step explanation:
only interested in juniors
male 2
female 6
there are only 8 juniors and 6 of those are female
6/8 or 75%
To write 7.32 as a fraction you have to write 7.32 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
7.32 = 7.32/1 = 73.2/10 = 732/100
And finally we have:
7.32 as a fraction equals 732/100
Our parent function is f(x)=x^2. A vertical stretch by a factor of k means that every point (x,f(x)), has been transformed into (x,kf(x)). Alex is clearly incorrect as our parent function has been transformed to (x,9f(x)), not (x,3f(x)). A horizontal stretch(or compression) by a factor of k means our function has been transformed to (x/k,f(x)). Here, Marta is saying our function should look like (3x,f(x)). This can also be achieved by plugging 3x into the parent function, which would give us f(3x)=(3x)^2, so it seems that Marta is the correct one.
Answer:
5. Profit of Rs 1 per lemon
6. Rs 20
Step-by-step explanation:
5. Buy Rs 60 per 12 lemons = Rs 5 per lemon
Sell Rs 30 per 5 lemons = Rs 6 per lemon
Profit Rs 1 per lemon
6. Sell Rs 2500 per 100 pens = Rs 25 per pen
Profit per pen is 20% = (20/100)25 = 5
Cost price of a pen = 25 - 5 = 20