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:
a = 32
Step-by-step explanation:
This is a right triangle and the square value of hypotenuse is equal to sum of square value of other two side lengths
68^2 = 60^2 + a^2
4624 = 3600 + a^2
4624 - 3600 = a^2
1024 = a^2 find the root for both sides
32 = a
Answer:
10 cups of beans to 4 cups of carrots
Step-by-step explanation:
Answer:
Exact Form:
√5 + 5√2
__________
5
Decimal Form:
1.86142715
…
Step-by-step explanation:
N/A
She should invest $6491.73.
The equation we use to solve this is in the form

,
where A is the total amount in the account, p is the principal invested, r is the interest rate as a decimal, n is the number of times per year the interest is compounded, and t is the amount of time.
A in our problem is 14000.
p is unknown.
r is 6% = 6/100 = 0.06.
n is 2, since it is compounded semiannually.
t is 13.