How many x-intercepts will the graph of y = 3x2 + 6x + 3 have? (Use the discriminant to
find out!)
A. 3 x-intercepts
B. 1 x-intercept
C. 2 x-intercepts
D. no x-intercepts

B. 1 x-intercept

Step-by-step explanation:

We can use the discriminant expression, b²- 4ac, to answer this question.

In the equation y = 3x² + 6x + 3 we know that,

3 = a-value

6 = b-value

3 = c-value

Using this information, we can plug these numbers into the discriminant expression to find the discriminant.

6² - 4(3)(3) = 0

Because the value is equal to 0, we know there is 1 real solution and therefore there is 1 x-intercept.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: