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iren [92.7K]
3 years ago
6

If a car travels 210 miles on 12 gallons of gas, what is its unit rate in miles per gallon?

Mathematics
1 answer:
kumpel [21]3 years ago
4 0
210 divided by 12 is 17.5 so u]your answer is 17.5
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F(x)=2x^2+4x-16<br> g(x)=4x^2-16<br> Find (f/g)(x).
Nastasia [14]

Answer:

Step-by-step explanation:

(\frac{f}{g} )(x) = \frac{2x^{2} +4x-16}{4x^{2} -16}

2x²+4x -16 =  2(x²+2x-8); factor 2

                  = 2(x+4)(x-2) ;factor the quadratic equation

4x²-16  = 4(x²-4) ; factor 4

            =4(x²- 2²) ; rewrite 4 as 2²

           = 4(x-2)(x+2); now use the difference of two squares a²-b²=(a-b)(a+b)

so now we have:

(\frac{f}{g}) (x) = \frac{2(x+4)(x-2)}{4(x-2)(x+2)} ; simplify (x-2) from numerator and denominator

                                  and 2/4 as 1/2

(\frac{f}{g}) (x) = \frac{(x+4)}{2(x+2)}

8 0
3 years ago
A train left a station at 8:13 a.m. arriving at its destination at 4:52 p.m. If the stations are 527.65 miles apart, calculate t
Tomtit [17]

9514 1404 393

Answer:

  D.  61 mi/h

Step-by-step explanation:

The travel time is 16:52 -8:13 = 8:39 hours, or 8.65 hours. Then the speed is ...

 speed = distance/time = 527.65 mi/(8.65 h) = 61 mi/h

_____

<em>Additional comment</em>

It is often convenient to use "military" or "24-hour" time for calculations of time periods that extend over noon or midnight. For this purpose, 12 gets added to the hour number in the afternoon (pm). Of course, 39 minutes is 39/60 hours. That is found to be 0.65 hours by performing the division of 39 by 60.

6 0
2 years ago
Please answer this quick in quetion 1. answer and 2. answer and 3.answer thank you please answer under 5 minutes i dont have tim
Klio2033 [76]
B
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5 0
3 years ago
What is the factor for 30n-40
nikitadnepr [17]
Factor: 
<span>30n - 40 = 10(3n - 4)

hope it helps</span>
7 0
3 years ago
Which statements are true for the functions g(x) = x^2 and h(x) =-x^2? Check all that apply
Sloan [31]

Answer:

h(x) is the NEGATIVE of g(x)

Step-by-step explanation:

Where are the statements?  Please share them next time.

h(x) is the NEGATIVE of g(x):  h(x) = -x^2 = -g(x)

6 0
2 years ago
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