f(5) is -8 ⇒ 1st answer
Step-by-step explanation:
Function is a relation between set of of ordered pairs (x , y),and every x has only one y
Examples:
- {(-1 , 2) , (2 , 4) , (5 , -3)} is a function because x = -1 has only y = 2, x = 2 has only y = 4 and x = 5 has only y = -3
- {(-2 , 4) , (0 , -1) , (-2 , 5)} is not a function because x = -2 has y = 4 and 5
The notation of the function is f(x) = y
The table:
→ x : f(x)
→ -4 : -2
→ -1 : 5
→ 3 : 4
→ 5 : -8
From the table
∵ x = -4
- The corresponding value of y to x = -4 is -2
∴ f(-4) = -2
∵ x = -1
- The corresponding value of y to x = -1 is 5
∴ f(-1) = 5
∵ x = 3
- The corresponding value of y to x = 3 is 4
∴ f(3) = 4
∵ x = 5
- The corresponding value of y to x = 5 is -8
∴ f(5) =-8
f(5) is -8
Learn more:
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Answer:
y=6.2 and x=0.4 or (0.4,6.2)
Step-by-step explanation:
Since both expressions are equal to y, we can set them equal to each other and solve for x:
3x+5=8x+3
5=5x+3
2=5x
2/5=x
0.4=x
Now to solve y:
y=8(2/5)+3
y=16/5+3
y=3.2+3
y=6.2
Check answers:
6.2=3(0.4)+5
6.2=1.2+5
6.2=6.2
6.2=8(0.4)+3
6.2=3.2+3
6.2=6.2
Answers work, so y=6.2 and x=0.4 or (0.4,6.2) as an ordered pair
Answer:
B. 10/91
Step-by-step explanation:
Box has 5 red buttons and 9 blue buttons.
We add 5 and 9 to get the total buttons.
5 + 9 = 14
Then, we find the probability for a red button.
5/14 = .35
Now, that we've taken out 1 button.
The amount of buttons available changes.
14 - 1 = 13
There are 4 red buttons remaining.
The probability for a red button changes to 4/13.
4/13 = .30
Then, we multiply both probabilities.
.30 x .35 = .111
Convert to a fraction.
.111 = 10/91
Thus it would be B.