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:
15 bags
Step-by-step explanation:
She can fill 5 bags per each pound (because there are 5 
per pound)
Since there are 3 pounds, and , again, each pound can fill 5 bags, she will need 15 bags.
Another way too look at it is to ask how many 1/5ths are in 3 pounds. To find this answer mathematically:
3 ÷ 1/5 = 15 because when we divide by a fraction, we need to flip it and then multiply (so 3 ÷ 1/5 is actually 3×5)
Our inequality is 3(x-1) - 4x ≥-3. We can solve this like we solve for x in a regular equation. If I multiply 3(x-1), our new inequality is 3x -3 - 4x ≥ -3. If we add 3 to both sides and subtract 4x from 3x we have -x ≥ 0. But we want the value of x to be positive, not negative. So we multiply both sides by -1 and change the sign from greater than to less than. We get x<span> ≤ </span>0.
Step-by-step explanation:
so, that means we want to find the time t (days) after which N = No/2
because "half-life" means the amount of time until half of the substance has disappeared (or transformed into something else).
so, we have
No/2 = No × e^(-0.1481×t)
No = 2× No × e^(-0.1481×t)
1 = 2×e^(‐0.1481×t)
1/2 = 0.5 = e^(-0.1481×t)
ln(0.5) = -0.1481×t
t = ln(0.5)/-0.1481 = 4.680264555... ≈ 4.7 days
Quintet is what a stanza containing five lines is called.
