Answer:
4.11 (rounded to the hundredth place, the actual answer is 4.1(with the one repeating))
Step-by-step explanation:
To solve 37 divided by 9 you have to do long division or you can use a handheld calculator.
To solve it through long division,
9 can go into 3 zero times
9 can go into 37 four times though
9*4 is 36
So subtract 36 from 37, leaving 1.
9 can go into 1 zero times.
Add a zero behind the one and 9 can go into 10 once.
The pattern continues forever, making the answer 4.1(with the one repeating)
or 4.11 (rounded to the hundredth place)
If you need anymore clarification I can certaintly help.
Answer:
It landed at a height of 14 feet
Step-by-step explanation:
Given
--- Path of a t-shirt
--- height of bleachers
Required
Height when t-shirts land in bleachers
![3y = 2x - 14](https://tex.z-dn.net/?f=3y%20%3D%202x%20-%2014)
Make y the subject
![y = \frac{2}{3}x - \frac{14}{3}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx%20-%20%5Cfrac%7B14%7D%7B3%7D)
Substitute
in ![y = -\frac{1}{8}x^2 +4x](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B8%7Dx%5E2%20%2B4x)
![\frac{2}{3}x - \frac{14}{3} = -\frac{1}{8}x^2 +4x](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dx%20-%20%5Cfrac%7B14%7D%7B3%7D%20%3D%20%20-%5Cfrac%7B1%7D%7B8%7Dx%5E2%20%2B4x)
Multiply through by 24
![16x- 112 = -3x^2 +96x](https://tex.z-dn.net/?f=16x-%20112%20%3D%20-3x%5E2%20%2B96x)
Express as:
![3x^2 + 16x -96x- 112 = 0](https://tex.z-dn.net/?f=3x%5E2%20%2B%2016x%20%20-96x-%20112%20%3D%200)
![3x^2 -80x- 112 = 0](https://tex.z-dn.net/?f=3x%5E2%20-80x-%20112%20%3D%200)
Using a calculator:
or ![x = -\frac{4}{3}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B4%7D%7B3%7D)
x can not be negative:
So:
![x = 28](https://tex.z-dn.net/?f=x%20%3D%2028)
Substitute
in
to calculate the height it landed
![y = -\frac{1}{8} * 28^2 + 4 * 28](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B8%7D%20%2A%2028%5E2%20%2B%204%20%2A%2028)
![y = 14](https://tex.z-dn.net/?f=y%20%3D%2014)
Answer:
[see below]
Step-by-step explanation:
A function's inputs do not repeat. This means that any point with the x-value not repeated with the other points can be added to ensure that it continues as a function.
In this scenario:
{x| x ≠ -7, 4, 0, -2}
A point that does not have the x-value of -7, 0, 4, and -2 could be added to the relation to ensure it continues to be a function.
Hope this helps.
Discounted price before sales tax = 75/100 x (40 + 24 + 18 x 3) = 3/4 x (64 + 54) = 3/4 x 118 = $88.5
Total price inclusive of sales tax = 107/100 x 88.5 = $94.69
Answer:
3/2
Step-by-step explanation: