Answer:
I have a great love for books. I always try to save money to buy books. I understand the value of books, for me, the investment I put in books is worth it. Now I have enough savings to buy the books I like. In the future, I hope to be able to use my precious books as a tool to help young people in particular and society in general. Therefore, I intend to use that "book" investment to build a library for poor children who want to read books, they can read books for free. Although I won't bring in a large sum of money, it makes me happy.
The inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
<h3>How to determine the inverse relation?</h3>
The function is given as
f(x)=1/3x^2-3x+5
Start by rewriting the function in vertex form
f(x) = 1/3(x - 9/2)^2 -7/4
Rewrite the function as
y = 1/3(x - 9/2)^2 -7/4
Swap x and y
x = 1/3(y - 9/2)^2 -7/4
Add 7/4 to both sides
x + 7/4= 1/3(y - 9/2)^2
Multiply by 3
3x + 21/4= (y - 9/2)^2
Take the square roots
y - 9/2 = √(3x + 21/4)
This gives
y = 9/2 + √(3x + 21/4)
Hence, the inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
Read more about inverse functions at:
brainly.com/question/14391067
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Answer:
Step-by-step explanation:
x = 2 ; y = 4
3x + 2y + 4 = 3*2 + 2*4 + 4
= 6 + 8 + 4
= 18
<span>For 1 sale, an employee earns 1 tokens.
For 2 sales, an employee earns 6 tokens.
For 3 sales, an employee earns 12 tokens.
For 4 sales, an employee earns 19 tokens.
</span>
For the answer to the question above,
Suppose that for x sales the number of tokens the employee earns is:
ax^3 + bx^2 + cx + d
Therefore:
a(1^3) + b(1^2) + c(1) + d = 1
a(2^3) + b(2^2) + c(2) + d = 6
a(3^3) + b(3^2) + c(3) + d = 12
a(4^3) + b(4^2) + c(4) + d = 19
Therefore:
a + b + c + d = 1
8a + 4b + 2c + d = 6
27a + 9b + 3c + d = 12
64a + 16b + 4c + d = 19
Solve that to get:
a = 0
b = 1/2
c = 7/2
d = -3
Therefore, the formula is:
(1/2)x^2 + (7/2)x - 3
Answer:
6 cm
Step-by-step explanation:
Volume of a prism= Length X Width x height
750 = 25 x 5 x h
750= 125h
750/125 = 125h/125
h= 6
Answered by Gauthmath