We are given order pairs : (2, 6), (3, 21), (4, 42), (5, 69)
The correct option is D) f(x) = 3x^2 - 6.
If we plug x=2 we get
f(2) = 3(2)^2 - 6 = 3(4) -6 = 12-6 =6. Represents (2,6)
If we plug x=3 we get
f(3) = 3(3)^2 - 6 = 3(9) -6 = 27-6 =21 Represents (4,21)
If we plug x=4 we get
f(4) = 3(4)^2 - 6 = 3(16) -6 = 48-6 =42. Represents (4,42)
If we plug x=5 we get
f(5) = 3(5)^2 - 6 = 3(25) -6 = 75-6 =69. Represents (5,69)
Therefore, D ) f(x) = 3x^2 - 6 is our correct option.
Answer:
y = 5x - 13
Step-by-step explanation:
Slope of the line 5x + y = 2
Since, required line is parallel to the given line.
So, slope of required line = 5 (Parallel lines have same slope)
y - (- 3) = 5(x - 2)
y + 3 = 5x - 10
y = 5x - 10 - 3
y = 5x - 13
Answer: 165 ways
Step-by-step explanation:
The process of selection is done by using the combination formula for selection. If given "n" items and we are to choose "r" items from this given "n", the formula to use is denoted by:
nCr. = n! /(n-r)! × r!
Where
n! = n * (n-1) * (n-2)... *3*2*1.
In this case the number of items given = 11
And the number of items to be chosen = 3,
Hence the number of ways to do this = 11C3= 11!/(11-3)! × 3!
=165 ways.
Answer:
F(4) = -3
Step-by-step explanation:
First, you would plug in 4 for x. PEMDAS, so you would multiply -3 and 4, giving you -12. Then add 9, which gives you -3.
