Answer:
The mapping can also be represented as the set of ordered pairs: (4, 9) (5, 10) (6, 11) (7, 12). The ordered pair preserves the directional property of the relation. It is consistent with the order of points plotted on a Cartesian Plane represented by (",$). In the Arrow Diagram that follows.
Step-by-step explanation:
Answer:
g( f(2)+3) = 30
Step-by-step explanation:
<u>step(i)</u>:-
Given function g(t)=t²-t and f(x)=1+x
given f(x)=1+x
f(2) = 1 + 2 =3
<u><em>step(ii)</em></u>:-
g( f(2)+3) = g(3 + 3)
= g(6)
= (6)² - 6
= 36 -6
= 30
<u><em>Conclusion</em></u>:-
g( f(2)+3) = 30
<span>Let n = number
n = 32 + 8
n = 40</span>
Answer:
Step-by-step explanation:
Area A = 15square cm
Length L = x
Width w = x - 2
Area = L × w
15 = x(x - 2)
15 = x^2 -2x
x^2 -2x - 15 = 0
Solving by factorization
x^2 - 5x + 3x - 15 = 0
(x^2 -5x) + (3x -15) = 0
x(x - 5) + 3(x - 5) = 0
(x + 3)(x - 5) = 0
(x + 3) = 0 or (x - 5) = 0
x = -3 or 5
Since x can't be negative therefore x is 5cm
Length = 5cm
Width = 5-2 = 3cm
