The discriminant of a quadratic equation determines the nature of the roots of the equation whether they are rel or imaginary. The formula for determining the discriminant is
d = b2 - 4acd = 36 - 4*3*3 = 0This means there is only one real number root.
Given the equation in 2, it can be projected that for every y, there are two x's (negative and positive) equivalent. The vertex would lie below the x-axis. Answer is B
Answer:
10 potatoes.
Step-by-step explanation:
Let x be the number of potatoes.
Then by proportion:
30/12 = x/4
12x = 4*30 = 120
x = 10.
So to find the discriminant of a quadratic equation, the formula is b² - 4ac with a = x² coefficient, b = x coefficient, and c = constant. In this case, our equation is 
Firstly, solve the multiplications and the exponents: 
Next, subtract and we find that our discriminant is 0.
*Additional Info: Since the discriminant is zero, this means that this quadratic equation has 1 real solution.
Answer:
Median: 15
Mean: 14.875 or 14.9 if rounded
Step-by-step explanation:
To find the median, arrange the numbers in order from least to greatest and find the middle value between the numbers.
To find the mean, add all the numbers and divide by however many numbers there are.
Answer:
Helen: 60mph and Anne: 50mph
Step-by-step explanation:
3.2r+2.8(r-10)=332 is the equation that we use, given the information we have.
We distribute and combine like terms and add 28 to both sides and divide by 6.
3.2r+2.8(r-10)=332
3.2r+2.8r-28=332
6r=360
6r/6=360/6
r=60 So, Helen's speed is 60mph.
Next, we'll solve Anne's speed.
r-10=50
60-10=50 So, Anne's speed is 50mph.
