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Define x :
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Let the smallest number be x.
The other two numbers will be x + 1 and x + 2.
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Construct Equation :
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Sum of these numbers is 72
⇒ x + x + 1 + x + 2 = 72
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Solve for x :
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x + x + 1 + x + 2 = 72
3x + 3 = 72
3x = 69
x = 23
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Find the numbers :
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1st number = x = 23
2nd number = x + 1 = 23 + 1 = 24
3rd number = x + 2 = 23 + 2 = 25
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Answer : The numbers are 23, 24 and 25.
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number 7 is as follows Answer: C18.9
Step-by-step explanation:
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. so (5.65x2)+(3.8x2)=18.9 cm
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
<h3>Inverse of functions</h3>
In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))
Given the function
f(x)= 5-3x/2 and
g(x)= 5-2x/3
f(g(x)) = f(5-2x/3)
Substitute
f(g(x)) = 5-3(5-2x)/3)/2
f(g(x)) = (5-5+2x)/2
f(g(x)) = 2x/2
f(g(x)) = x
Similarly
g(f(x)) = 5-2(5-3x/2)/3
g(f(x)) = 5-5+3x/3
g(f(x)) = 3x/3
g(f(x)) =x
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
Learn more on inverse of a function here: brainly.com/question/19859934
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Answer:
y = - 13, y = 13
Step-by-step explanation:
Given
y² = 169 ( take the square root of both sides )
y = ± 
= ± 13
Since 13 × 13 = 169 and - 13 × - 13 = 169
45 Cards
12 friends invited; 1/2 came 12 x 1/2=6
Let x stand for the number of cards each friend received
Armando kept 3
6x = 45-3
6x = 42
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6 6
x = 7
Each friend received 7 cards
