Answer:
- Minimum 100 bicycles
- Minimum cost is 13500
Step-by-step explanation:
<u>Given function:</u>
- C(x) = 3x^2- 600x + 43500
a.
Minimum cost is obtained at vertex.
Vertex is determined by formula x = -b/2a, in standard form of
f(x) = ax^2 + bx + c
<u>Vertex of the given function is:</u>
b.
<u>Cost at vertex is:</u>
- C(100) = 3*100^2 - 600*100 + 43500 = 13500
The expression that represents Lonnie's final number is 2(x + 3) - 6
<h3>Writing an expression</h3>
From the given information, we are to write the expression that represents Lonnie's final number
From the given information,
"<em>kristy asks lonnie to think of a number, add 3 to it</em>"
Let the number be x
Then,
The statement becomes
x + 3
<em>"multiply the sum by 2</em>" we get
2×(x +3)
= 2(x + 3)
"<em> subtract 6</em>",
The expression becomes
2(x + 3) - 6
This is the expression that represents Lonnie's final number
Hence, the expression that represents Lonnie's final number is 2(x + 3) - 6
Learn more on Writing an expression here: brainly.com/question/12166019
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Answer:
The answer is 6ab³c(3ab + 4c)
Step-by-step explanation:
You have to collect the like-term :
18a²b⁴c + 24ab³c²
= 6(3a²b⁴c + 4ab³c²)
= 6a(3ab⁴c + 4b³c²)
= 6ab³(3abc + 4c²)
= 6ab³c(3ab + 4c)
Answer:
Lionel = (1/3)(6 lengths)
Step-by-step explanation:
The problem statement tells us that Lionel swam 1/3 as far as the 6 lengths that Miguel swam. Lionel's distance can be found from the equation ...
Lionel = (1/3)(6 lengths)
Answer:
<h2><em><u>
11 is the answer</u></em></h2>
Step-by-step explanation:
<em><u>1. Write the question.</u></em>
g(n) = n² + 2; Find g(3)
<em><u>2. Find and input the numbers into the equation</u></em>
g(3) = 3² + 2
3² = 9
<em><u>3. Solve the equation</u></em>
g(3) = 3² + 2
= 9 + 2
= 11
<em><u>The answer is 11.</u></em>
Hope this helped,
Kavitha Banarjee
