Let's subtract then: 3x2 - 2x + 3 - (6x2 - 4x + 3)
taking out of the bracket with a changed sign: (there is a minus in front of the bracket)
3x2 - 2x + 3 - 6x2 + 4x - 3
let's reshuffle them so that similar terms are together:
3x2 - 6x2 - 2x + 4x + 3 - 3
Adding up similar terms:
-3x2 + 2x - that's our option 2!
Answer:
f(x) = (1/2)(x-2)^2(x+1)(x+2)
Step-by-step explanation:
You can determine this by looking at the zeroes of the graph. For any zero that goes through the x-axis, the power of that zero is odd. For any zero that that "bounces" from the x-axis, the power of that zero is even.
Starting from left to right, we can see that the first zero, -2, goes through the x-axis. That means (x+2) is raised to an odd power. The second zero, -1, also goes through, so (x+1) is raised to an odd power. The last zero, 2, bounces off the x-axis, so (x-2) is raised to an even power. The only functions that satisfy this criteria are function 1 and 2.
However, we are not done yet. We need to figure out which multiplier value (1/2, 1/4) is correct. To do this, we plug in 0 for x, since we know that the y-intercept is 4. When we plug in 0, we see that f(0) = 4 for the first function. Therefore, the first function is the answer.
If you would like more tutoring in math or other subjects for FREE, check out growthinyouth.org.
A(n) is a special type of hyphen that prevents two words separated by a hyphen from splitting at the end of a line.
Answer:
Initial Amount=1
Decay Factor=0.99987
Decay Rate=0.013%
Step-by-step explanation:
If P = 0.99987ᵃ
I. Initial amount
The initial amount is when a=0
P = 0.99987⁰ = 1
The Pressure at Sea Level=1
II. Decay factor
This is like the decay constant. From the model, P = 0.99987ᵃ, the decay constant/factor is 0.99987.
III. Decay Rate = 1-0.99987 = 0.00013
Expressed in Percentage = 0.013%
