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Leviafan [203]
1 year ago
9

Solve the quadratic equation by completing the square.x^2-14x+46=0First choose the appropriate form and fill in the blanks with

the correct numbers. Then solve the equation. If there’s more than one solution, separate them with commas.

Mathematics
1 answer:
Kaylis [27]1 year ago
7 0

x² - 14x + 46 = 0

subtract 46 from both-side

x² - 14x = -46

Add the square of the half of the co-efficient of x

x² - 14x + (-7)² = -46 + 7²

(x-7)² = -46 + 49

(x-7)² =3

Take the square root of both-side

x-7 = ±√3

x-7= ±1.732

Add 7 to both-side of the equation.

x= 7 ± 1.732

Eithe x= 7 + 1.732 or x= 7 - 1.732

x=8.732 or x=5.268

Therefore x = 8.732 , 5.268

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If the length of rectangle is thrice of its breadth and it's perimeter is 32 cm then finds its area​.​
jeka57 [31]

Answer:

48 cm²

Explanation:

Let the breadth be b, then the length is 3b

P = 2(Length + Breadth)

32 = 2(3b + b)

32 = 2(4b)

8b = 32

b = 4

Breadth is 4 cm

Length: 3b = 3(4) = 12 cm

Area of rectangle:

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12 × 4

48 cm²

3 0
2 years ago
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The assets (in billions of dollars) for a financial firm can be approximated by the function A(x)=318e^0.27x, where x=7 correspo
Mashutka [201]

The value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively. A function assigns the values.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the assets (in billions of dollars) for a financial firm can be approximated by the function A(x)=318e^{0.27x}, where x=7 corresponds to the year 2007. Therefore, the assets value in the following years will be,

A.) 2012 - A(12)=318e^{0.27\times 12} = 8,119.72

B.) 2014 - A(14)=318e^{0.27\times 14} = 13,933.5

C.) 2012 - A(17)=318e^{0.27\times 17} = 31,321.23

Hence, the value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively.

Learn more about Function:

brainly.com/question/5245372

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2 years ago
If Olivia traveled 70 miles in 2.5 hours, how many miles will Olivia travel in 9.5 hours at the same constant speed?
Lapatulllka [165]

Answer:

266 miles

Step-by-step explanation:

You need to divide 70 by 2.5 equals 28. Than you need to times that by 9.5.

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3 years ago
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Step-by-step explanation:

I hope it's the correct one

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-9x^5 + 36x^4 + 189x^3 in factored form
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Answer:

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