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3 years ago

9

a map has a scale of 3.5 inches = 20 kilometers if the distance between two cities on the map is 4.9 inches what is the actual d

istance between the two cities

2 answers:

KIM [24]3 years ago

7 0

3.5 inches = 20 km
1 inch = 20 ÷ 3.5 = 20/3.5
4.9 inches = 20/3.5 x 4.9 = 28km

11Alexandr11 [23.1K]3 years ago

5 0

28

4.9 x 20 / 3.5 = 28

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Brut [27]

Answer:

(f+g)(2) = 4

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(f x g)(1) = 0

Step-by-step explanation:

We are given these following functions:

$f(x) = 2x + 3$

$g(x) = x - 1$

(f+g)(2)

$(f+g)(x) = f(x) + g(x) = 2x + 3 + x - 1 = 3x - 2$

At $x = 2$

$(f+g)(2) = 3(2) - 2 = 6 - 2 = 4$

Then

(f+g)(2) = 4

(f-g)(4)

$(f-g)(x) = f(x) - g(x) = 2x + 3 - (x - 1) = 2x + 3 - x + 1 = x + 4$

At x = 4

$(f-g)(4) = 4 + 4 = 8$

Then

(f-g)(4) = 8

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$(f \div g)(x) = \frac{f(x)}{g(x)} = \frac{2x+3}{x-1}$

At x = 2

$(f \div g)(2) = \frac{7}{1} = 7$

Then

(f ÷g)(2) = 7

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$(f \times g)(x) = f(x)g(x) = (2x+3)(x-1) = 2x^2 -2x + 3x - 3 = 2x^2 + x - 3$

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3 years ago

There are 12 different cookies on a plate. Aiden will choose 3 of these cookies to pack in his lunch. How many different groups

kupik [55]

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The number of different groups of cookies he can choose from the 12 cookies is calculated as:

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nCr = n!/(n - r)!r!

Substitute the known values in the above equation

Numbers = 12!/(12 - 3)!3!

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Expand the above equation

Numbers = 12*11*10*9!/9!3!

Evaluate the quotient

Numbers = 12*11*10/3!

Expand the above equation

Numbers = 12*11*10/3*2*1

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Number of cookies, n = 12

Selected cookies, r = 3

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Read more about combination at:

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