Answer:
 -3
Step-by-step explanation:
 5x³ + 2 , when x = -1
 5(-1)³ + 2
= -5 + 2
= -3
 
        
                    
             
        
        
        
Answer:
x=36
Step-by-step explanation:
So, lets go over what we know:
16 is equal to 4/9ths of x.
As a equation, this looks like:

We can begin to solve for x by multiplying both sides by the denominator, 9, which gets us:

=

Then we can divide by the coefficent of x, which is 4, to get our answer:

=

This is our answer! Hope this helps! :3
 
        
                    
             
        
        
        
Answer:
A). Surface area = 222 cm²
Volume = 180 cm³
B). Surface area = 375 cm²
Volume = 360 cm³
C). % increase in surface area = 67.57%
% increase in volume = 100%
Step-by-step explanation:
In the figure attached base of a prism has been given.
A). Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)
Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8
                                        = 30
Area of the base = 8×5 - 2×2 = 36 cm²
Surface area of the prism = 30×5 + 2×(36)= 222 cm²
Volume of the prism = volume of the bigger prism - volume of the smaller prism cut off
                                   = 8×5×5 - 2×2×5
                                   = 200 - 20
                                   = 180 cm³
B). Surface area of the prism if it's height is 10 cm,
Surface area = 30×10 + 2×(36) = 372 cm²
Volume of the prism = 8×5×10 - 2×2×10 
                                    = 400 - 40
                                    = 360 cm³                                       
C). Increase in surface area = 372 - 222 = 150 cm²
% increase in the surface area = 
 = 67.57%
Increase in volume = 360 - 180 = 180 cm³
% increase in volume = 
 = 100%
 
        
             
        
        
        
Given:
Lamont cotton is 4% commission on the first 10,000 of monthly sales and 10% on all sales over 10,000. 
Consider his last month sales is 38,000.
To find:
The total commission.
Solution:
4% commission on the first 10,000 of monthly sales is

Sales over 10,000 is 

10% commission on all sales over 10,000 is

Now, the total commission is

Therefore, the total commission is 3,200.
 
        
             
        
        
        
Answer: The correct option is second.
Explanation:
The given function is,

If we graph a function is f(x), then its coordinates is defined as (x,f(x)).
When the graph of f(x) is reflect across the x-axis, then the the x-coordinate remains the same and the sign of y-coordinate is changed. It means after reflecting across the x-axis,

The given given equation can be written as,

To find the equation of the graph after reflection across the x-axis multiply both sides by -1.

Because f(x)=y and g(x)=-y.

Therefore the second option is correct and the graph of both function is given below.