Answer:
The correct option is 1.
Step-by-step explanation:
A relation is called a function if there exist one value of y for each value of x.
In a mapping first set represent the value of x and second set represent the value of y.
In mapping 1, for
, the value of y is -4 and 3. For single of x there exist more than one value of y, therefore this relation is not a function.
In mapping 2 and 3, for all values of x, the value of y is unique. For single of x there exist only one value of y, therefore these relations are function.
Therefore mapping 1 does not represent a function. Option 1 is correct.
Answer:
AN = 9
Step-by-step explanation:
so we can imagine this in a line like:
A---------------N---------------X
Step 1 : solve for x
AX=21 (our total)
because we know that AN+NX together makes AX, we put that into an equation
<u>AN + NX = AX </u>
(2x+1) + (3x) = 21
2x + 1 + 3x = 21 <-- <em>subtract 1 from both sides</em>
2x + 3x = 20 <-- <em>add 2x +3x </em>
5x = 20 <-- <em>divide 5 from both sides</em>
<u>x = 4</u>
Step 2 : input x into AN
AN = 2x + 1 <-- <em>input 4 for x</em>
AN = 2(4) + 1 <-- <em>simplify from there</em>
<u><em>AN = 9</em></u>
<u><em /></u>
Answer:
150 km squared
Step-by-step explanation:
5*1.5=7.5
4*5=20
7.5*20=150
Answer:
kg
Step-by-step explanation:
1pound is 0.45kg
Answer:
13 hours
Step-by-step explanation:
Average speed = Distance traveled / time taken
⇒ Distance = Average speed × Time
d = s × t
For the first trip;
Average speed = 280 mph
d₁ = 280t₁ ------(1)
where;
d₁ is the distance covered to get to the destination
t₁ is the time taken to get to the destination
For the second trip;
Average speed = 240 mph
d₂= 240t₂ ------(2)
where;
d₂ is the distance covered on the way back
t₂ is the time taken on the way back
The trip is the same distance to and fro. Therefore,
d₁ = d₂
Substituting the equation for d₁ and d₂
280t₁ = 240t₂ ------(3)
It took one hour less time to get there than it did to get back, then,
t₁ = t₂ - 1
t₂ = t₁ + 1 ------(4)
Substituting equation (4) into equation (3)
280t₁ = 240(t₁ + 1)
280t₁ = 240t₁ + 240
280t₁ - 240t₁ = 240
40t₁ = 240
t₁ = 240/40
t₁ = 6 hours
From equation (4)
t₂ = t₁ + 1
t₂ = 6 + 1
t₂ = 7 hours
The total time for the trip is t₁ + t₂ = 6 + 7
= 13 hours