80÷12= 6 2/3
12×12×12×12×12×12=72
so 12 goes into 80 evenly 6 times, but there is a remainder so you have to include it
80-72=8
so that leaves you with 8/12 which is 2/3 when simplified
now you have 6 + 2/3 = 6 2/3
Answer:
<h2>
y = -6x - 16</h2>
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -6
(-3, 2) ⇒ x₀ = -3, y₀ = 2
The point-slope form of the equation:
y - 2 = -6(x + 3)
So:
y - 2 = -6x - 18 {add 2 to both sides}
y = -6x - 16 ← the slope-intercept form of the equation
Answer:
Rounded to the nearest tenth they are -14.5 and 12.5
Step-by-step explanation:
The zeros of a function are the x-intercepts or roots where the function crosses the x-axis. To find them, graph the function x^2 +2x-180 and zoom in on the x-axis.
See attached picture.
You have to turn the denominators the same then whatever you do to the top you do to the bottom the just subtract
1) function f(x)
x - 5
f(x) = ----------------
3x^2 - 17x - 28
2) factor the denominator:
3x^2 - 17x - 28 = (3x + 4)(x - 7)
x - 5
=> f(x) = -----------------------
(3x + 4) (x - 7)
3) Find the limits when x → - 4/3 and when x → 7
Lim of f(x) when x → - 4/3 = +/- ∞
=> vertical assymptote x = - 4/3
Lim of f(x) when x → 7 = +/- ∞
=> vertical assymptote x = 7
Answer: there are assympotes at x = 7 and x = - 4/3
