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e-lub [12.9K]
3 years ago
14

Sarah is renting a car for her weekend trip to the mountains,Fill in the blanks so that the functions below, written to represen

t this situation, are correct. If necessary, answer in terms of a decimal, rounded to the nearest hundredth. ƒ(x) =____x +____.
Mathematics
1 answer:
sesenic [268]3 years ago
6 0
So here is the answer to the given question above. Analyzing the given figure, we can see that at 0 miles, the cost is 25. Between 0 and 40 miles, the cost rises by 10. Therefore, the function that would represent this situation would be this: <span>f(x) = (10/40)x+25
   </span><span>     f(x) = 1/4 *x+ 25
        f(x) = 0.25x + 25</span>
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A cylindrical candle has a volume of approximately 400cm^3 and is 8 cm tall. What is the radius of the candle?
katrin2010 [14]

Answer:

<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>

We know that

V = πr²h

400 = 22/7 × r² × 8

400 × 7 = 22 × 7r²

2800 = 154r²

2800/154 = r²

18 ≈ r²

4.2 = r

6 0
3 years ago
Read 2 more answers
Write as a decimal<br><img src="https://tex.z-dn.net/?f=1%20%5Ctimes%20%5Cfrac%7B5%7D%7B8%7D%20" id="TexFormula1" title="1 \time
Sever21 [200]

<em>Answer</em>

<u>0.625</u>

<em>Explanation</em>

5/8=0.625

1 x 0.625= 0.625

(basically the question was "convert 5/8 to a decimal" because 1 times any number is the same number)

<em>hope this helps!</em>

<em>have a great day :)</em>

5 0
3 years ago
Gretchen paid 2,5, and 3 dollors if she paid 4 dollors for each at a sale
VladimirAG [237]
40 I am pretty sure that is the right answer
5 0
4 years ago
Enter your answer and show all the steps that you use to solve this problem in the space provided.
rodikova [14]

Answer:

\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}

Step-by-step explanation:

f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4

Step 1. Calculate the difference between the functions

(a) Write the two functions, one above the other, in decreasing order of exponents.

ƒ(x) = 9x³ + 2x² - 5x + 4

g(x) = 5x³           - 7x + 4

(b) Create a subtraction problem using the two functions

        ƒ(x) =    9x³ + 2x² - 5x + 4

      -g(x) =  <u>-(5x³           - 7x + 4) </u>

ƒ(x) -g(x)=

(c). Subtract terms with the same exponent of x

        ƒ(x)   =    9x³ + 2x² - 5x + 4

      -g(x)  =   <u>-(5x³          -  7x + 4) </u>

ƒ(x) -g(x) =      4x³ + 2x² + 2x

Step 2. Factor the expression

y = 4x³ + 2x² + 2x

Factor 2x from each term

y = 2x(2x² + x + 1)

\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}

5 0
3 years ago
A game at the fair involves ping-pong balls numbered 1 to 18. You can win a prize if you correctly choose the 5 numbers that are
torisob [31]

Answer: 0.014

Step-by-step explanation: 5 divided by 18!

5 0
3 years ago
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