Answer:
- X'(5, 2)
- Y'(0, 1)
- Z'(-1, -4)
Step-by-step explanation:
The translation increases each x-coordinate by 3, moving the point 3 units to the right. It decreases each y-coordinate by 1, moving the point 1 unit down.
   (x, y) ⇒ (x+3, y-1)
   X(2, 3) ⇒ X'(5, 2)
   Y(-3, 2) ⇒ Y'(0, 1)
   Z(-4, -3) ⇒ Z'(-1, -4)
The red arrows show the translation of each point in the graph.
 
        
             
        
        
        
Answer:
See explanation below
Step-by-step explanation:
Archimedes was able o obtain the actual volume of the supposedly gold made object by collecting the water displaced by the object as it was sunk on a bowl filled with water to the rim. Then knowing the volume displaced and therefore the volume of the object, he could find the object's density (mass over volume). The mass he could get just by weighting the object. and compare that with the density of any other object made of real gold (like for example a coin) and see if the quotient was the same. The density of both objects should be the same if they are made of the same material.
 
        
             
        
        
        
Answer:
32. ∛((x-7)/4) = f^(-1)(x)
33. -10x - 9 
Step-by-step explanation:
32. We want to switch f(x) and x, and then solve for f(x) to get the inverse. 
x = 4f(x)³ + 7
subtract 7 from both sides
x -7 = 4f(x)³
divide both sides by 4
(x-7)/4 = f(x)³
cube root both sides
∛((x-7)/4) = f(x)
make f(x) f^(-1)(x) because this is now the inverse
∛((x-7)/4) = f^(-1)(x)
the second answer is correct
33. for composition, we can treat (f · g) (x) as attached picture (content filter!), so we plug g(x) into f(x). This results in
2(-5x-7) + 5
expand
-10x - 14 + 5
add
-10x - 9 
the second answer is correct
 
        
             
        
        
        
Answer: The correct answer should be A, and B
 
Step-by-step explanation:
Because....
the comma would go after the word rain, and B would obviously go in the other blank. C and D makes no sense and i don't think it would make any sense if you put those punctuation marks in blanks.
* Hopefully this helps:) Mark me the brainliest:)!!
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