Answer:
x = -16 or x = 6
Step-by-step explanation:
To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.
x² + 10x - 96 = 0
We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.
(x + 16)(x - 6) = 0
If a product of two factors equals zero, then one factor or the other or both must equal zero.
x + 16 = 0 or x - 6 = 0
x = -16 or x = 6
False because if it’s a positive number then the opposite is gonna be a negative

Let the capacity of bus be x students
And van be y students, now ;
From the given statements we get two equations ~


multiply the equation (2) with 2 [ it won't change the values ]


Now, deduct equation (1) from equation (3)




Therefore each bus can carry (x) = 45 students
Now, plug the value of x in equation (1) to find y ~







Hence, each van can carry (y) = 17 students in total.
Answer: 75 degrees
Step-by-step explanation: supplementary angles= 180 degrees, 180 - 115 = 75