<u>Answer:</u>
19.5 x 29.25 inches
<u>Step-by-step explanation:</u>
We are given that the top of the table, which we are to build in our factory must of the the dimension 50 cm x 75 cm.
Also, out machine is calibrated in inches. So to find the size of the table in the inches, we need to multiply the given dimensions of the table top with the scale (1 cm = 0.39 inches)
50 cm ---> 50 x 0.39 = 19.5 inches
75 cm ---> 78 x 0.39 = 29.25 inches
Therefore, the dimensions of the table in inches are 19.5 x 29.25 inches.
 
        
             
        
        
        
Answer:
x−2x4+2x3−7x2−8x+12=x3+4x2+x−6
The rational root theorem suggests that other possible roots may be -6, 6, -3, 3, -2, 2, -1, and 1. It turns out that x=-2x=−2 is a root, since (-2)^3+4(-2)^2+(-2)-6=0(−2)3+4(−2)2+(−2)−6=0 , so x+2x+2 is also a factor and we have
\dfrac{x^4+2x^3-7x^2-8x+12}{(x-2)(x+2)}=x^2+2x-3(x−2)(x+2)x4+2x3−7x2−8x+12=x2+2x−3
Finally, we can factorize the remaining quotient easily:
x^2+2x-3=(x+3)(x-1)x2+2x−3=(x+3)(x−1)
so the other factors are x+2x+2 , x+3x+3 , and x-1x−1 .
 
        
             
        
        
        
Answer:
The first one is 7 and the second one is 8.
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
   (b)
Step-by-step explanation:
The hundredths place is immediately to the left of the thousandths place. In our base-10 number system, moving a digit to the left one place increases its value by a factor of 10.
The value of 7 in the hundredths place is 10 times the value of 7 in the thousandths place.