Answer:
<h2><u><em>
18</em></u></h2>
Step-by-step explanation:
90=2×3×3×5
72=2×2×2×3×3
HCF of 90 and 72 =2×3×3=
18
1. Yes, x=9 is a solution because 8x= 72, and 72 can be greater then and equal to 58.
2. 1 + 0.24j
3. 2 units
4. 25 students per classroom
Hope this helps!
Answer:
The interval of increase of g(x) is
.
Step-by-step explanation:
The interval of increase occurs when first derivative of given function brings positive values. Let be
, the first derivative of the function is:


The following condition must be met to define the interval of increase:

The first term is always position due to the quadratic form, the second one is a first order polynomial and it is known that positive value is a product of two positive or negative values. Then, the second form must satisfy this:

The solution to this inequation is:

Now, the solution to this expression in interval notation is: 
Answer:
A. 
B. 
Step-by-step explanation:
Consider the equation

A. This equation has no solutions when the coefficients at x are the same and the free coefficients are not the same.
First, use distributive property:

So, the equation is

This equation has no solutions when

B. The equation has infinitely many solutions when the coefficients at x are the same and the free coefficients are the same too.
So, the equation

has infinitely many solutions when

In other cases, the equation has a unique solution