2 years ago

Express (root 19 - root 7)(root 19 + root 7) in simplest form.

Mathematics

2 answers:

r-ruslan [8.4K]2 years ago

7 0

Answer

root 354

Step-by-step explanation:

Svetllana [295]2 years ago

3 0

Answer:

Step-by-step explanation:

(√19 -√7)(√19 +√7)

( a +b)( a -b) = a²-b²

(√19)² -(√7)² = 19 -7 = 12

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Step-by-step explanation:

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Each machine at a certain factory can produce 90 units per hour. The setup cost is 20 dollars for each machine and the operating

sasho [114]

Answer:

a) $Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}$

b) $n=24$

Step-by-step explanation:

From the question we are told that:

Rate r=90 units per hour

Setup cost =20

Operating Cost =26

Units=40000

Generally the equation for Total cost is mathematically given by

$Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}$

$T_n=20n+\frac{11556}{n}\\\\T_n=\frac{20n^2+11556}{n}.....equ 1$

Differentiating

$T_n'=\frac{n(40n)-(40n^2+11556)}{n_2}\\\\T_n'=\frac{20n^2-11556}{n^2}.....equ 2$

Equating equ 1 to zero

$0=\frac{20n^2+11556}{n}$

$n=24$

Therefore

Substituting n

For Equ 1

$T_n=\frac{20(24)^2+11556}{24}$

F(n)>0

For Equ 2

$T_n'=\frac{20(24)^2-11556}{24^2}$

F(n)'<0

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2 years ago

It takes 1/2 cup of lemon juice to make a glass of lemonade. You have 4 cups of lemon juice. How many glasses of lemonade can yo

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Answer:

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Step-by-step explanation:

1 cup of lemon juice can make 2 glasses of lemonade so you would do 4 x 2 which would leave you with 8

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Read 2 more answers