Answer:
the solutions are -8, -3
Step-by-step explanation:
We are given an equation z² + 11z + 24 = 0 and we have to find solutions for it, which means finding out the value of z.
We will do it by factorization method
We will factorize the equation such that the sum of two factor is equal to 11z and the product is 24z²
z² +8z + 3z + 24 = 0
z(z + 8) + 3(z + 8) = 0
taking z+8 common above
(z+3)(z+8) = 0
z+3 = 0, z = -3
z+8 = 0, z = -8
so the solutions are -8, -3
Answer:
7, 10 and 15
Step-by-step explanation:
Given
--- Students already enrolled
Required
Determine the additional number of students needed for the teacher not to cancel the class
First, we need to calculate the number of students for the teacher to cancel the class.
Represent this with x.
So, we have:
Make x the subject
Substitute values for Total and S1
This means that if less than 7 additional students come to the class, the teacher will cancel the class.
So, for the teacher not to cancel the class, the students must be 7 or greater (i.e. 7, 8, 9, 10....)
Answer:
Step-by-step explanation:
x - 3y + 8x - 7y = 5 + 6
9x - 10y = 11
9x - 10y + 10y = 11 + 10y
9x = 11 + 10y
9x ÷ 9 = 11 + 10y ÷ 9