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ira [324]
3 years ago
13

Which expressions are completely factored? Select each correct answer. 32y10−24=8(4y10−3) 18y3−6y=3y(6y2−2) 16y5+12y3=4y3(4y2+3)

20y7+10y2=5y(4y6+2y) PreviousNext
Mathematics
1 answer:
laila [671]3 years ago
3 0

Answer:

Option A and Option C

Step-by-step explanation:

Option A: 32y^{10}-24 = 8(4y^{10}-3) This is completely factored as 8 is the Highest Common Monomial factor

Option B: 18y^{3}-6y = 3y(6y^{2}-2) This is not completely factored as 2 is still a common factor of 6y2 and -2.

Option C: 16y^{5}+12y^{3}=4y^{3}(4y^{2}+3) This is completely factored as 4y2 is the Highest Common Monomial factor

Option D: 20y^{7}+10y^{2} = 5y(4y^{6}+2y) This is not completely factored as 2y is still a common factor of 4y6 and 2y.

So the options that are completely factored are Option A and Option C

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Tony and his three friends live in Albuquerque, New Mexico, but they all attend college in Boston, Massachusetts. Because they w
astra-53 [7]

Hello...


Tony and his three friends live in Albuquerque, New Mexico, but they all attend college in Boston, Massachusetts. Because they want to have a car at school this year, they are planning to drive Tony's car from Albuquerque to Boston at the beginning of the school year. Although they'll each pay for their own food during the road trip, the friends plan to split the costs for gas and hotels evenly between the four of them.

Estimate the total cost that each friend will have to pay for gas and hotels. Explain how you got your answer. Here are some figures that may help you out:

•Tony's car can travel 28 miles for each gallon of gas.

•The average fuel cost at the time of their trip is $3 per gallon.

•They plan to drive about 650 miles each day.

•They estimate the average cost of a hotel each night is $85.

•They will drive approximately 2,240 miles to get from Albuquerque to Boston.


Solution:

Cost of Gas:

2240 / 28 x 3 = $240

Cost of Lodging:

85 x floor2240 / 650 = $255

Cost of both: $240 +255 = $495.

The cost for a 1/4 share is $495/4 = $123.75.

4 0
3 years ago
Three friends all have ages that are consecutive integers. The sum of their ages is 48. what is the age of the eldest friend?
Schach [20]

Answer:

C.17 years old

Step-by-step explanation:

consecutive means that they come after each other

17+16+15=48

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2 years ago
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maxonik [38]

Answer: y=3x-6

Step-by-step explanation:

4 0
2 years ago
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Rashid [163]
Hola! yo te ayudaria, pero no se en que. No tienes el problema para que yo lo resuelva. Lo siento si mi espanol no es bueno, estoy aprendiendo como escribir lo. Sorry-
3 0
3 years ago
If f(x) = -5x +5 and g(x) +3x +8, find g(f(x))
4vir4ik [10]

Answer:

Step-by-step explanation:

g(f(x)) =  g(f(x)) +3(-5x +5 ) +8

= -15x + 15 + 8

= -15x + 23

4 0
3 years ago
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