4. If the determinant delta of a quadratic equation is positive, the equation has two real roots. If the determinant is negative, it has two imaginary roots. In this case, delta=b^2-4ac=(-1)^2-4*1*4=-15. Therefore, this equation has two imaginary roots.
Answer:
The domain is all real numbers.
The function is always decreasing
Step-by-step explanation:
Assuming the given function is

for

Then f(x) is an exponential decay function.
This means that, the domain will be all real numbers.
The range will be y<0
The y-intercept is (0,-1)
There is no x-intercept.
The graph is a decreasing function.
Answer:
8190 ways
Step-by-step explanation:
Given


Selection


Required
Number of ways of selection
4 students can be selected from 15 students in:

Similarly.
5 teachers can be selected from 6 teachers in:

So, the required number of selection is:

Apply combination formula:







Answer:
7 millimeters
Step-by-step explanation:
Volume is the area of the base times it's length.
140/10 is 14
so the area of the triangle is 14
the formula for area of a triangle is base times height divided by 2
so
d x 4/ 2 = 14
multiply both sides by 2
d x 4 = 28
divide both sides by 4
d=7