Answer:
![\displaystyle \sf h( - 1) = - \frac{ 2}{3}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%20%5Csf%20h%28%20-%201%29%20%3D%20%20%20-%20%5Cfrac%7B%20%20%20%202%7D%7B3%7D%20)
Step-by-step explanation:
we are given a function
![\displaystyle \sf h(x) = \frac{2x - 6}{4 {x}^{2} + 8}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Csf%20h%28x%29%20%3D%20%20%5Cfrac%7B2x%20-%206%7D%7B4%20%7Bx%7D%5E%7B2%7D%20%20%2B%208%7D%20)
we would like to simplify it for h(-1)
in order to do so
substitute the value of x
![\displaystyle \sf h( - 1) = \frac{2 \cdot - 1- 6}{4 { (- 1)}^{2} + 8}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Csf%20h%28%20-%201%29%20%3D%20%20%5Cfrac%7B2%20%5Ccdot%20-%201-%206%7D%7B4%20%7B%20%28-%201%29%7D%5E%7B2%7D%20%20%2B%208%7D%20)
by order of PEMDAS
simplify square:
![\displaystyle \sf h( - 1) = \frac{2 \cdot - 1- 6}{4 { ( 1)}^{} + 8}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Csf%20h%28%20-%201%29%20%3D%20%20%5Cfrac%7B2%20%5Ccdot%20-%201-%206%7D%7B4%20%7B%20%28%201%29%7D%5E%7B%7D%20%20%2B%208%7D%20)
simplify multiplication:
![\displaystyle \sf h( - 1) = \frac{ - 2 - 6}{4 { }^{} + 8}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Csf%20h%28%20-%201%29%20%3D%20%20%5Cfrac%7B%20-%202%20-%206%7D%7B4%20%7B%20%7D%5E%7B%7D%20%20%2B%208%7D%20)
simplify addition:
![\displaystyle \sf h( - 1) = \frac{ - 2 - 6}{12}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Csf%20h%28%20-%201%29%20%3D%20%20%5Cfrac%7B%20-%202%20-%206%7D%7B12%7D%20)
simplify subtraction:
![\displaystyle \sf h( - 1) = \frac{ - 8}{12}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Csf%20h%28%20-%201%29%20%3D%20%20%5Cfrac%7B%20%20%20-%208%7D%7B12%7D%20)
reduce fraction:
![\displaystyle \sf h( - 1) = - \frac{ 2}{3}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%20%5Csf%20h%28%20-%201%29%20%3D%20%20%20-%20%5Cfrac%7B%20%20%20%202%7D%7B3%7D%20)
Answer:
12+y+x+x+x+12+y+x = 24+2y+4x; which is A
Step-by-step explanation:
Hey there! :)
The triangle is a scalene triangle.
Scalene triangles are triangles that have side lengths that are ALL different ; 3 unequal sides
Hope this helps :)
Sine, Cosine and Tangent. And Sine, Cosine and Tangent are the three main functions in trigonometry. They are often shortened to sin, cos and tan. The calculation is simply one side of a right angled triangle divided by another side ... we just have to know which sides, and that is where "sohcahtoa" helps. :)
Answer:
![\$400](https://tex.z-dn.net/?f=%5C%24400)
Step-by-step explanation:
GIVEN: A hotel charges a
annual fee plus an additional
for each night you stay there.
TO FIND: average cost per night if you stay at the hotel for
nights.
SOLUTION:
Annual fee charged by hotel ![=\$10000](https://tex.z-dn.net/?f=%3D%5C%2410000)
amount charged each night we stay there ![=\$200](https://tex.z-dn.net/?f=%3D%5C%24200)
Total number of nights we stay ![=50](https://tex.z-dn.net/?f=%3D50)
Total amount paid for
nights![=50\times\$200](https://tex.z-dn.net/?f=%3D50%5Ctimes%5C%24200)
![=\$10000](https://tex.z-dn.net/?f=%3D%5C%2410000)
Total amount paid ![=\text{annual fee}+\text{total amount paid for 50 nights}](https://tex.z-dn.net/?f=%3D%5Ctext%7Bannual%20fee%7D%2B%5Ctext%7Btotal%20amount%20paid%20for%2050%20nights%7D)
![=\$10000+\$10000](https://tex.z-dn.net/?f=%3D%5C%2410000%2B%5C%2410000)
![=\$20000](https://tex.z-dn.net/?f=%3D%5C%2420000)
average cost per night ![=\frac{\text{total amount paid}}{\text{total number of nights of stay}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Ctext%7Btotal%20amount%20paid%7D%7D%7B%5Ctext%7Btotal%20number%20of%20nights%20of%20stay%7D%7D)
putting values,
average cost per night ![=\frac{20000}{50}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B20000%7D%7B50%7D)
![=\$400](https://tex.z-dn.net/?f=%3D%5C%24400)
Hence average cost per night if we stay at hotel for
days is ![\$400](https://tex.z-dn.net/?f=%5C%24400)