Answer:
1
Step-by-step explanation:
if the boys go in front and the girls go in the back there is only one way to put them
Answer:
The consecutive numbers are 62 and 63
Step-by-step explanation:
Let the larger number be represented by x and the smaller number by y,
Provided they are consecutive numbers;
--- Equation 1
From the question; we have that
--- Equation 2
Required
Find x and y
Multiply both sides of equation 2 by 14


---- Equation 3
Substitute y + 1 for x in equation 2

Open bracket

Collect like terms



So,


Hence, the consecutive numbers are 62 and 63
Answer:
10 cm
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A =
× d₁ × d₂ ( d₁ and d₂ are the diagonals )
Here A = 60, d₁ = 12, thus
60 = 0.5 × 12 × d₂ = 6 d₂ ( divide both sides by 6 )
d₂ = 10
The other diagonal is 10 cm
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Example: f(x) = 2x+3 and g(x) = x2
"x" is just a placeholder. To avoid confusion let's just call it "input":
f(input) = 2(input)+3
g(input) = (input)2
Let's start:
(g º f)(x) = g(f(x))
First we apply f, then apply g to that result:
Function Composition
- (g º f)(x) = (2x+3)2
What if we reverse the order of f and g?
(f º g)(x) = f(g(x))
First we apply g, then apply f to that result:
Function Composition
- (f º g)(x) = 2x2+3
We get a different result! When we reverse the order the result is rarely the same. So be careful which function comes first.
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