Answer:
40 student 110 adult
this is using desmos
but to smash the equation you can go like basically we have to cancel out each variable to solve for the other
3x + 8y = 1000
x + y < =150
-3(x + y <= 150)
-3x -3y = -450
3x + 8y = 1000
5y = 550
y= 110
3x + 8 y = 1000
-8(x+y<=150) = -8x - 8y <= -1200
-5x = -200
x= 40
40 kids 110 adults
3w-7w-12=2w-6
-4w-12=2w-6
-12=6w-6
-6=6w
w=-1
Hi there!
First we need to calculate how much the 3 T-shirts cost and subtract that from the amount she paid to find the change.
First, we multiply to find the coats of the T-shirts.
3 × 8 = 24
Now, we subtract 24 from 50.
50 - 24 = 26
So, she got $26 of change.
Hope this helps!
There are no algebraic methods for finding solutions to a general mix of exponential and polynomial terms. A graphing calculator can be helpful.
This equation has 3 real solutions, approximately ...
x ∈ {-0.802246431546, 1.51677641228, 7.17475582739}
_____
In the folder "iteration for solutions" is an equation for Newton's method iteration, essentially, ...
g(x) = x -f(x)/f'(x)
where f(x) is defined as shown in the picture.
Many graphing calculators can compute a numerical derivative, so you can essentially write the formula in this form without having to do the derivative-taking yourself. This calculator is nicely interactive, so the iteration result is produced at the same time the argument for g(x) is entered. Essentially, you write the answer by copying the answer using the 4-digit zero-crossing values shown on the graph as the iteration starting point.
Answer:
28 days
Step-by-step explanation:
because the frog climbs 3m in the day, but falls 2m at night, it technically climbs 1m every 24 hours. this means after the 1st day, it will have climbed a total of 1m, on the second, it will have climbed a total of 2m, and so on. however, when it gets nearer to the top, that's when things start to change. after the 26th day, it will have climbed 26m. on the 27th day, it will be 27m, but then when it jumps 3m the next day, it will reach 30m total before it falls during the night and it will be able to get out of the hole.
i hope this helps! :)
