A recipe calls for 1/3 of a cup of milks for 10 cookies How many cups of milk are needed to make 120 cookies

Mathematics

1 answer:

Kruka [31]3 years ago

5 0

Answer:

You are gonna need 4 cups of milk.

Step-by-step explanation:

1/3 for 10 cookies so x 3= 1 cup for 30 cookies. 1 cup and 30 cookies x 4 = 4 cups and 120 cookies

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consider the followin polynomials equations a=3x2(x-1) b= -3x3+4x2-2x+1 . perform each operation and determine if the result is

Sedaia [141]

Answer:

All three operations lead to polynomials.

See explanations below.

Step-by-step explanation:

Polynomial a = $3x^2(x-1)=3x^3-3x^2$

Polynomial b = $-3x^3+4x^2-2x+1$

Therefore:

a + b = $3x^3-3x^2+(-3x^3+4x^2-2x+1)=\\=3x^3-3x^2-3x^3+4x^2-2x+1=\\=x^2-2x+1$

where we have combined all like terms. This is clearly another polynomial (of grade 2)

a - b (here we need to flip all signs inside the parenthesis when we remove this grouping symbol): $3x^3-3x^2-(-3x^3+4x^2-2x+1)=\\3x^3-3x^2+3x^3-4x^2+2x-1=\\6x^3-7x^2+2x-1$

which is clearly another polynomial (but of grade 3)

a * b : (here we use distributive property to multiply each term of the first polynomial by each term of the second one, and then combine like terms)

$(3x^3-3x^2)*(-3x^3+4x^2-2x+1)=\\-9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2=\\-9x^6+21x^5-18x^4+9x^3-3x^2$ which is indeed another polynomial (this time of grade 6)