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I am Lyosha [343]
4 years ago
10

Factor...................

Mathematics
1 answer:
Nataliya [291]4 years ago
4 0

Answer:

Final answer is C. (2x-5)(2x-5).

Step-by-step explanation:

Given expression is 4x^2-20x+25.

We can factor that by splitting middle term into two parts then do grouping as shown below:

4x^2-20x+25

=4x^2-10x-10x+25

=2x(2x-5)-5(2x-5)

=(2x-5)(2x-5)

Which correctly matches with choice C. (2x-5)(2x-5).

Hence final answer is C. (2x-5)(2x-5).

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Ann went on a trip. His room cost $115.62 each night. His flight cost $45.70 and his flight home was $32.49. He averaged $15.00
Allushta [10]
His room was 115.62 per night and he stayed 3 nights so that is
115.62 * 3 = 346.86

his flight was 45.70 + 32.49 there and home so
45.70 + 32.49 = 78.19

15.00 a day on food for 4 days is
15.00 * 4 = 60

she won 75 and lost 15 so
75 - 15 = 60

add them up
346.86 + 78.19 + 60 + 60 = 545.05
5 0
3 years ago
Sam needs to make a long-distance call from a pay phone. With his prepaid phone card, he will be charged $1.00 to connect and $0
Mademuasel [1]

Answer:  The required system of equations representing the given situation is

y=1+0.5x\\\\y=3+0.25x

Step-by-step explanation: Given that Sam needs to make a long-distance call from a pay phone.

We are to write a system to represent the situation.

Let x represent the number of minutes Sam talked on the phone and y represents the total amount that he paid for the call.

According to the given information,

with prepaid phone card, Sam will be charged $1.00 to connect and $0.50 per minute.

So, the equation representing this situation is

y=1+0.5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Also, if Sam places a collect call with the operator he will be charged $3.00 to connect and $0.25 per minute.

So, the equation representing this situation is

y=3+0.25x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Thus, the required system of equations representing the given situation is

y=1+0.5x\\\\y=3+0.25x

3 0
3 years ago
Are all odd numbers<br> prime numbers? Explain
Juliette [100K]
Yes, all prime numbers are odd except the number 2
4 0
3 years ago
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Betty had $40 in her pocket. She bought 12 identical bags of popcorn. Betty was left with $10 after buying the popcorn. What was
siniylev [52]
Each bag of popcorn was $3.33 dollars because you divide 40 dollars by 12 bags. That is how you get your answer.
7 0
3 years ago
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a new car, originally worth $35,795, depreciates at a rate of 17% per year. The value of the car can be represented by the equat
Sergio [31]

We have been given that a new car, originally worth $35,795, depreciates at a rate of 17% per year. The value of the car can be represented by the equation y=35795(0.83)^x, where x represents the number of years since purchase and y represents the value (in dollars) of the car.

To find the value of car of after 5 years, we will substitute x=5 in our given equation as:

y=35795(0.83)^5

y=35795\cdot (0.3939040643)

y=14099.79598

Upon rounding to nearest tenth, we will get:

y\approx 14099.8

Therefore, the car will be worth $14,099.8 after 5 years it is first purchased.

Since $14,099.8 is less than original value of car, therefore, we know hat value of car is depreciating and $14,099.8 is correct answer.

We also know that an exponential decay function is in form y=a(1-r)^x, where,

y = Final value after t years,

a = Initial value,

r = Decay rate in decimal form,

x= Time.

17\%=\frac{17}{100}=0.17

y=35795(1-0.17)^x

y=35795(0.83)^x

8 0
3 years ago
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