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stiv31 [10]
4 years ago
13

20 points !!! Hurry

Mathematics
2 answers:
weeeeeb [17]4 years ago
7 0

Answer:

Add 9 to each side of the equation.

Step-by-step explanation:

To complete the square, we need to add (b/2) ^2 to each side, where b is the coefficient of the x terms.


The coefficient of the x terms is -6

so we need to add (-6/2) ^2 = (-3)^2 = 9.  

Add 9 to each side of the equation.

Dmitry_Shevchenko [17]4 years ago
7 0

Answer:

The coefficient of the x terms is -6

so we need to add (-6/2) ^2 = (-3)^2 = 9.    

Add 9 to each side of the equation.

Step-by-step explanation:

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Friends have a party. Joyce invited 17 friends to a dinner party at her house last Friday
OLEGan [10]

Answer:

15

Step-by-step explanation:

Joyce reserved number 1 for herself

Of all  the possible combinations,

1 and  15 is a perfect match for a perfect square

So,Joyce dinner partner was number 15.

5 0
2 years ago
Determine the equation of the Logarithmic Regression that models the data. Then use your equation to determine the amount of sun
Naya [18.7K]

Answer:

Percentage of light that penetrates at 150 m will be 0.94%.

Step-by-step explanation:

By using logarithmic regression calculator,

Equation of the regression line will be,

y = 104.5173 - 20.6711(lnx)

Where x represents the depth of the ocean

And y will represent the penetration of light

Therefore, at the depth of 150 m, penetration of the light will be,

y = 104.5173 - 20.6711[ln(150)]

  = 104.5173 - 103.5753

  = 0.9420

  ≈ 0.94 %

Therefore, percentage of light that penetrates at 150 m will be 0.94%.

7 0
3 years ago
An equilateral triangle has a perimeter of 90 inches. Find the area of the equilateral triangle in simplest radical form.
KIM [24]

Answer:

450

Step-by-step explanation:

If the perimeter is 90 inches then each side must equal 30 inches. To find the area of a triangle you mulptiply the base by the height and divide by 2. The base is 30 and the height is 30. 30*30=900. 900/2=450.

6 0
3 years ago
The area of a rectangle is <img src="https://tex.z-dn.net/?f=14ft%5E2" id="TexFormula1" title="14ft^2" alt="14ft^2" align="absmi
svetlana [45]

Answer:

So, Width  = 7/2 or 3.5

Length =  4

Step-by-step explanation:

Area of rectangle = 14 ft^2

Let width of rectangle 2 = x

and Length of rectangle = 2x-3

Formula used for area of rectangle

Area = Length * Width

14 = (2x - 3) x

14 = 2x^2 - 3x

=> 2x^2 -3x -14 = 0

Solving the quadratic equation using factorization

-28 x^2 = -7x * -4x

2x^2 -7x + 4x -14 = 0

x (2x -7) +2(2x-7) = 0

(x+2) (2x-7) =0

=> x + 2 =0 and 2x -7 = 0

x = -2 and x = 7/2

Since width cannot be negative so, x= 7/2

Width= x = 7/2

Length = 2x -3 => 2(7/2) - 3

=> 7 -3

=> 4

So, Width =  7/2 or 3.5

Length =  4.

7 0
4 years ago
Read 2 more answers
Jaylen decided to buy a new digital camera that retails for $199. If the store is currently running a promotion on all cameras f
Gnesinka [82]

So 25% of $199 is $49.75. If you subtract the promotion off you get 199-49.75=149.25. Then the sales tax is 6% so you take the new cost $149.25 and multiply it by .06 which equals 8.955. so then you add on the tax so $149.25+8.955=$158.205. Your answer is $158.205 or approximately $158.21

5 0
4 years ago
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