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Genrish500 [490]
4 years ago
6

Find the solution(s) to x2 – 14x + 49 = 0

Mathematics
2 answers:
MatroZZZ [7]4 years ago
7 0

Answer:

x=7

Step-by-step explanation:

x^2 - 14x + 49 = 0

Factor the left hand side of the equation

product is 49 and sum is -14

-7 times -7 is 49

-7 plus -7 is -14

so two factors are -7 and -7

x^2 - 14x + 49 = 0

(x-7)(x-7)= 0

Now we apply zero factor property

SEt each factor =0 and solve for x

x-7 =0 , x=7

Nitella [24]4 years ago
6 0
Add 49 to 0

2x-14x=49

then combine like terms

12x=49

x=49/12


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Horatio sold 58 of a carton of bottled water. A carton contains 32 bottles of water. How many bottles did Horatio sell?
Sergeeva-Olga [200]

Answer:

1856

Step-by-step explanation:

Each carton contains 32bottles

58 cartons were sold

Meaning 58 cartons contains;

58x32=1856 bottles

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4 years ago
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Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two
Alekssandra [29.7K]
The answer is 9

u - the unit digit
t - the tenth digit
So, the original two digit number will be: 10t + u.
<span>The reversed two-digit number will be: 10u + t
</span>
Five times the sum of the digits of a two-digit number is 13 less than the original number is: 5(u + t) = 10t + u - 13
four times the sum of its two digits is 21 less than the reversed two-digit number: 4(u + t) = 10u + t - 21

Thus, we have two equations:
5(u + t) = 10t + u - 13
4(u + t) = 10u + t - 21
_______________
Multiply the factor:
5u + 5t = 10t + u - 13
4u + 4t = 10u + t - 21
_______________
Rearrange:
5u + 5t - 10t - u = -13
4u + 4t - 10u - t = -21
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Multiply the first equation by 3, and the second by 2:
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-6u · 2 + 3t · 2 = -21 · 2
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12u -15t = -39
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Add these two equations to make one equation:
12u - 15t - 12u + 6t = -39 - 42
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12u can be canceled out:
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t = -81/-9
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</span>Replace t in one of the equations:
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</span>
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The difference of the original two-digit number and the number with reversed digits is 98 - 89 = 9
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3 years ago
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Answer:

Expression that represents the sale price of the wedding dress is  

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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= 15/5

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