<span>x-intercept is when y = 0
0 = -1/2x - 2
1/2x = -2
x = -4
x-intercept = (-4,0)
y-intercept is when x = 0
y = -1/2(0) - 2
y = -2
y-intercept = (0, -2)
(note that in the form y = mx+b, b is the y-intercept, so in y = -1/2x - 2, -2 is the y-intercept)
Now to graph, simply plot these two points (-4, 0) and (0, -2) and draw a line between them.
Best of luck!</span>
Answer:
a_n = 2^(n - 1) 3^(3 - n)
Step-by-step explanation:
9,6,4,8/3,…
a1 = 3^2
a2 = 3 * 2
a3 = 2^2
As we can see, the 3 ^x is decreasing and the 2^ y is increasing
We need to play with the exponent in terms of n
Lets look at the exponent for the base of 2
a1 = 3^2 2^0
a2 = 3^1 2^1
a3 = 3^ 0 2^2
an = 3^ 2^(n-1)
I picked n-1 because that is where it starts 0
n = 1 (1-1) =0
n=2 (2-1) =1
n=3 (3-1) =2
Now we need to figure out the exponent for the 3 base
I will pick (3-n)
n =1 (3-1) =2
n =2 (3-2) =1
n=3 (3-3) =0
Answer:
y = 20
Step-by-step explanation:
y = kx
24 = 6k
24/6 = 6k/6
k = 4
y = kx
y = 4(5)
y = 20
