Answer:
Let x represent the amount of weeks she is saving up for the bike, and y represents the cost of the bike.
The equation would look like this:
So, let's say the bike costs $2000.
Divide 2000 by 20, and it will give you the x value (or, the amount of weeks it will take)
It will take 100 weeks for her to save $2000 for the bike, if she puts back $20 each week.
Do you have a Ti-84 calculator you need one to solve this problem.
(B/2)^2 is the formula you need to complete the square
B is the second term which is -6
So let’s plug it into the formula
(-6/2)^2
(-3)^2= 9
Answer:
(B) π/12 + π/6 k
Step-by-step explanation:
Points of inflection are where f"(x) = 0 and changes signs.
f(x) = cos²(3x)
f(x) = (cos(3x))²
f'(x) = 2 (cos(3x))¹ × -sin(3x) × 3
f'(x) = -6 sin(3x) cos(3x)
Using double angle formula:
f'(x) = -3 sin(6x)
f"(x) = -3 cos(6x) × 6
f"(x) = -18 cos(6x)
0 = -18 cos(6x)
0 = cos(6x)
6x = π/2 + 2πk or 6x = 3π/2 + 2πk
We can simplify this to:
6x = π/2 + πk
x = π/12 + π/6 k
Answer:
1/10
Step-by-step explanation:
There are 6 marbles in the bag. 3 out of 6 are green.
3/6 = 1/2
So, he has a 1/2 of picking a green marble.
After getting a green marble, Joe doesn’t replace it meaning there are now only 5 marbles in the bag.
Since there’s one red marble in the bag the chance of trying one is 1/5.
Now to find the chance or drawing a green and red marble you need to do the equation:
1/2 x 1/5
This equals 1/10.
The probability is 1/10
