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2 years ago

Sam delivers 3 newspapers in 5 minutes. If he continues at this rate, how long will it take him to deliver 45 newspapers?

Mathematics

2 answers:

AnnyKZ [126]2 years ago

8 0

Answer:

It will take him 75 minutes.

Step-by-step explanation:

Rule of three / cross-multiplication:

3 newspapers require 5 min

45 newspapers require x min

x = (45 / 3) * 5

x = 15 * 5

x = 75 min

baherus [9]2 years ago

3 0

Answer:

75 minutes

Step-by-step explanation:

3 newspapers = 5 minutes

45 newspapers = x minutes

45/3 = 15

3 x 15= 45 newspapers

5 x 15 = 75 minutes

Another way:

x= minutes

45/3= x/5

15=x/5

75=x

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In Problems 23–30, use the given zero to find the remaining zeros of each function

Talja [164]

Answer:

x = 2i, x = -2i and x = 4 are the roots of given polynomial.

Step-by-step explanation:

We are given the following expression in the question:

$f(x) = x^3 - 4x^2+ 4x - 16$

One of the zeroes of the above polynomial is 2i, that is :

$f(x) = x^3 - 4x^2+ 4x - 16\\f(2i) = (2i)^3 - 4(2i)^2+ 4(2i) - 16\\= -8i+ 16+8i-16 = 0$

Thus, we can write

$(x-2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

Now, we check if -2i is a root of the given polynomial:

$f(x) = x^3 - 4x^2+ 4x - 16\\f(-2i) = (-2i)^3 - 4(-2i)^2+ 4(-2i) - 16\\= 8i+ 16-8i-16 = 0$

Thus, we can write

$(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

Therefore,

$(x-2i)(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16\\(x^2 + 4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

Dividing the given polynomial:

$\displaystyle\frac{x^3 - 4x^2 + 4x - 16}{x^2+4} = x -4$

Thus,

$(x-4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

X = 4 is a root of the given polynomial.

$f(x) = x^3 - 4x^2+ 4x - 16\\f(4) = (4)^3 - 4(4)^2+ 4(4) - 16\\= 64-64+16-16 = 0$

Thus, 2i, -2i and 4 are the roots of given polynomial.

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Step-by-step explanation:

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A'B' = 3×AB

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