So if line A passes through (0,-5) and (12,1) you can put it into the equation m=y2-y1/x2-x1. m=1+5/12-0 m=6/12 or m=1/2
if line B passes through (0,-4) and (10,1) you can use the same equation to find the slope. m=1+4/10-0 m=5/10 or m=1/2
(0,-5) and (0,-4) are y-intercepts so you can now put it into the equation y=mx+b
line A: y=1/2x-5
line B: y=1/2x-4
because the slope is the same and the y-intercept is different they will never intersect.
let me know if this helped i’m glad to.
The total mass was 149.5 grams.
Setting up an equation, we have that the sample size, 39.1, is 5 3/4 (5.75) grams less than 3/10 of the total mass; this gives us
39.1 = 3/10x - 5.75
Adding 5.75 to both sides, we have
44.85 = 3/10x
Multiplying both sides by 10,
448.5 = 3x
Dividing both sides by 3,
149.5 = x
The answer is - 3/4
your welcome
The sequence multiplies by 1/3.
Using the formula for a geometric sequence:
a(n) = a(1) * r^(n-1)
So...
a(n) = 648 * (1/3)^(n-1)
Plugging in 8 for n produces:
a(n) = 648 * (1/3)^(7)
Using a calculator, I find the answer to be 0.296296296...
