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olganol [36]
3 years ago
8

The volume of a rectangular prism is (x3 – 3x2 + 5x – 3), and the area of its base is (x2 – 2). If the volume of a rectangular p

rism is the product of its base area and height, what is the height of the prism?
Mathematics
2 answers:
lesya692 [45]3 years ago
8 0

Answer:

The answer is A

Step-by-step explanation:

The way that you get this answer is by divided x2 to x3 and you get x and then you multiply x to x2-2 and you get x3-2x and the you subtract that from x3-3x2+5x-3 and then you repeat that process and the final answer is x-3 + 7x-9/x2-2

sweet-ann [11.9K]3 years ago
3 0

Answer:

height  = (x^3 – 3x^2 + 5x – 3) / (x^2 – 2)

Step-by-step explanation:

We know that the volume of a rectangular prism is the product of its base area and height

Volume_prism = area_base *  height

height =  Volume_prism /  area_base

Volume_prism  = (x^3 – 3x^2 + 5x – 3)

area_base = (x^2 – 2)

height =  Volume_prism /  area_base

height  = (x^3 – 3x^2 + 5x – 3) / (x^2 – 2)

Please see attached image

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3 years ago
A recipe calls for 1 ½ cups of flour, 2/3 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings. A) How ma
Goryan [66]
<span>A) How many cups of flour are there per serving? 

</span>1 ½ cups of flour --------<span>6 servings
?     cups of flour ------- 1 serving

      </span>1 ½ 
------------ 
        6 

= 3/2 x 1/6
= 1/4

answer: 1/4 cups of flour per serving

<span>B) how many total cups of sugar(white and brown) are there per serving?
</span>total white and brown: <span>2/3 + 1/3 = 3/3 = 1 cups (combine)

1 cup of sugar (white and brown) </span>--------6 servings
? cups of sugar (white and brown) ------ 1 serving

  1
-----  = 1/6
  6
answer: 1/6 cups of sugar (white and brown) per serving

<span> (c) Suppose you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe?
</span>
3/2  cups of flour --------6 servings
? cups of flour -----------9 servings


  9 * 3/2             
-----------  
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answer: you need 3/4 more cups of flour

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