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KiRa [710]
2 years ago
6

My car gets 23 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function

of the number of gallons of gas in the tank? Explain your reasoning.
Mathematics
1 answer:
stiv31 [10]2 years ago
7 0

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The constant ratio (23 mi)/(1 gal) tells you the number of miles is a linear function of the number of gallons.

  miles = (miles/gallon) × gallons

  miles = constant × gallons . . . . . a linear function of gallons

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Determine the radius and center of the circle with the following equation <br> x^2+y^2-12x+24y-10=6
PolarNik [594]

Answer:

Center: (6, -12)

Radius: 4

Step-by-step explanation:

<u>Complete the squares</u>

<u />x^2+y^2-12x+24y-10=6\\\\x^2-12x-10+y^2+24y=6\\\\x^2-12x-10+46+y^2+24y+144=6+46+144\\\\(x^2-12x+36)+(y^2+24y+144)=196\\\\(x-6)^2+(y+12)^2=196

Comparing with the standard form equation (x-h)^2+(y-k)^2=r^2, since r^2=196, then the radius of the circle is r=14. Also, the center of the circle would be (h,k)\rightarrow(6,-12).

8 0
2 years ago
2. Marquan sells pretzels at Auntie Anne and earns $15 per hour,
Andre45 [30]

dollars per hour = salary

a

dollars per hours multiplied with hours worked (h) = total earnings

b

15 x 2 = 30

15 x 3 = 45

15 x 5 = 75

(h)

6 0
3 years ago
4y - 9 = 3 what is y
Iteru [2.4K]
4y - 9 = 3
add 9 to both sides
4y = 12
divide both sides by 4 so 4 divided by 4 is one and 12 divided by 4 is 3 thus getting your answer of 3
y=3
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zlopas [31]
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4 0
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