You will be using the equation y = mx + b
The only variables you need to find are "m" and "b"
For the equation of a line to be perpendicular to the given line, the slope will have to be the opposite of the given slope. Or you have to flip the sign and the number of the given slope to get your new slope.
For example:
m = -2
perpendicular slope = 1/2(positive)
m = 3/4
perpendicular slope = -4/3(negative)
The slope of the line is -1.5 or -3/2
Your new slope is 2/3
y = 2/3x + b
To find "b", you plug in the point (2,0) into the equation.
0 = 2/3(2) + b
0 = 4/3 + b
-4/3 = b
Your new equation is y = 2/3x - 4/3
We know the first term is 16, because f(1) = 16. Next, we can use the recursive rule provided. f(3)=1/2*f(3-1). This gives us f(3)=1/2*f(2). We know f(2) is 8. We know have f(3)=1/2*8. This is 4.
The answer is 16, 4.
Answer:
75% off
Step-by-step explanation:
I would personally say use a calculator, but whatever your instructor says.
First, do $600 off. You could also do 75% off first, but you choose. If you subtract $600 from $868, you get $268.
Next, do 75% off. If you take 100% - 75%, you get 25%, or 1/4. Multiply $868 by 1/4 and you get $217, which is the better deal.
So, to conclude, $217 is less than $268, and therefore 75% off is the better deal.
Answer:
Step-by-step explanation:
Katie gets 32/8 = 4 lots of sweets
Pavel gets 4 lots x 3 = 12 sweets