Answer: ![{\boxed{h(x+4)=\frac{9+3x}{8+x}}}](https://tex.z-dn.net/?f=%7B%5Cboxed%7Bh%28x%2B4%29%3D%5Cfrac%7B9%2B3x%7D%7B8%2Bx%7D%7D%7D)
Concept:
In a function f(x), it represents a function in terms of x or for x. Therefore, to find the values in the function, substitute values within the parenthesis to solve.
Solve:
<u>Given information</u>
![h(x)=\frac{-3+3x}{4+x}](https://tex.z-dn.net/?f=h%28x%29%3D%5Cfrac%7B-3%2B3x%7D%7B4%2Bx%7D)
<u>Need to find</u>
![h(x+4)](https://tex.z-dn.net/?f=h%28x%2B4%29)
<u>Substitute (x + 4) to the position of x</u>
![h(x+4)=\frac{-3+3(x+4)}{4+(x+4)}](https://tex.z-dn.net/?f=h%28x%2B4%29%3D%5Cfrac%7B-3%2B3%28x%2B4%29%7D%7B4%2B%28x%2B4%29%7D)
<u>Distributive property on the numerator</u>
![h(x+4)=\frac{-3+3x+12}{4+(x+4)}](https://tex.z-dn.net/?f=h%28x%2B4%29%3D%5Cfrac%7B-3%2B3x%2B12%7D%7B4%2B%28x%2B4%29%7D)
<u>Combine like terms</u>
![h(x+4)=\frac{-3+12+3x}{4+4+x}](https://tex.z-dn.net/?f=h%28x%2B4%29%3D%5Cfrac%7B-3%2B12%2B3x%7D%7B4%2B4%2Bx%7D)
![\boxed{h(x+4)=\frac{9+3x}{8+x}}](https://tex.z-dn.net/?f=%5Cboxed%7Bh%28x%2B4%29%3D%5Cfrac%7B9%2B3x%7D%7B8%2Bx%7D%7D)
Hope this helps!! :)
Please let me know if you have any questions
Answer:
so I think its 138 bowls so ya cause 6 times 23 is 138
Answer:
r(14) = 29
Step-by-step explanation:
r(x) = 3/2x+8
r(14) = 3/2*14+8 = 21+8 = 29
Answer:
The amount after 4 years = $ 16198.87
Step-by-step explanation:
Points to remember
Compound interest
A = P[1 + R/n]^nt
Were A - Amount
P - Principle
R - Rate of interest
t - Number of years
n - Number of times compounded
<u>To find the amount</u>
Here P = $11,800, R = 8% = 0.08, t = 4 years and n = 4 times
A = P[1 + R/n]^nt
= 11800[1 + 0.08/4]^(4 * 4)
= 16198.87
Therefore amount after 4 years = $ 16198.87
3 gallons of strawberries.
3/4 * 4/1 = 12/4 = 3
or you can use the butterfly method on the fours and get
3/1 * 1/1 = 3