Answer: 1
Step-by-step explanation: use foil and get 4-3.
4(x + 2) = 48
4x + 8 = 48 |subtract 8 from both sides
4x = 40 |divide both sides by 4
x = 10
So for question 1, Well, using an equation to make a prediction for patterns is pretty easy, really. It is also very efficient. When you look at the pattern, you should be able to make an equation based upon the pattern, or any previous patterns, and using that, you can make an equation to solve or figure out other parts of the pattern.
X would be the number of years between 1920 and 1980:
1980-1920 = 60 years.
Replace x with 60 and solve:
Y = 0.34(60) + 44.63
Y = 20.4 + 44.63
Y = 65.03
Answer: 65.03 meters
Answer:
g(x) = (x + 2)(x − 1)(x − 2)
I picked the first one, because why not. :)
<u>End behavior.</u> This is a positive function; there are no negatives next to any of the xs. There are 3 xs, so it's a cubic; a positive cubic has a down-up end behavior.
<u>Y-intercept.</u> We can either graph this on the calculator/online or work it out algebraically. Multiply together the constants: +2 * -1 = -2, -2 * -2 = 4. So the y-intercept is at y = 4. (0,4). I've also attached the graph.
<u>Zeros / x-intercept.</u> This is really simple: set g(x) equal to 0, separate these three parenthesis (x+2) (x-1) and (x-2) into three equations by the Zero Product Property.
x+2 = 0
x = -2
x-1 = 0
x = 1
x-2 = 0
x = 2
So the function has three zeros at (-2,0) (1,0) and (2,0).