"Starting with three, every consecutive line has 2 less than twice the previous line."
this statement means that
your staring line has 3 marbles. You multiply the 3 marblesby 2 so
3x2=6
And then you minus it by 2
6-2=4
which means that you'll get 4 marbles for the next line.
So to get your 6th line, you count how many marbles is on the 5th line but since your diagram doesn't have the 5th line you have to figure out the 5th line by counting how.many marbles is on the 4th line.
4th line = 10 marbles
10×2=20
20-2=18
5th line = 18
18×2=36
36-2=34
So the 6th line has 34 marbles.
Im sorry but i really cant see any of the words or number and ik this
-8x + y = 6
in the first equation, isolate y and then it becomes...
y = 6 + 8x
use this to replace the y in the second equation.
7x - 1y = -4
let y = 6 + 8x
7x - (6 + 8x) = -4
7x - 6 - 8x = -4
-x - 6 = -4
x + 6 = 4
x = 4 - 6
x = -2
now use this x = -2 into the equation with y.
y = 6 + 8x
y = 6 + 8(-2)
y = 6 -16
y = -10
Therefore, x = -2 and y = -10
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distance = time * speed
1 mile = time * 3.5 miles /56 minutes
so time = 56 minutes/3.5 = 16 minutes
The general equation of the line:
y = mx + c
where m is the slope of the line , and c is constant
m will be calculated using the points (2,1162) , (11,1900) as follow
m = (1900-1162)/(11-2) = 82
∴ y = 82 x + c
By substituting with the point (2,1162) to find c
∴ c = y - 82x = 1162 - 82 * 2 = 998
∴ y = 82x + 998
The first choice is the correct answer