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trasher [3.6K]
3 years ago
12

Complete the square to rewrite the equation in the form (x−h)2=p.

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0

Answer:

second option

Step-by-step explanation:

Given

x² - 6x - 33 = 0 ( add 33 to both sides )

x² - 6x = 33

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + 9 = 33 + 9

(x - 3)² = 42 → second option

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what interest rate is needed to turn $2500 into $15,000 in 14 years if interest is compounded weekly?
Anastasy [175]

Answer:

0.6845% per week.

Step-by-step explanation:

Simple Interest Calculation A = P(1 + rt)

Solving our equation:

r = (1/730.5)((15000/2500) - 1) = 0.00684463

r = 0.00684463

Converting r decimal to R a percentage

R = 0.00684463 * 100 = 0.6845%/week

Calculating the annual rate

0.6845%/week × 52 weeks/year = 35.594%/year.

The interest rate required to get a total amount, principal plus interest, of $15,000.00 from simple interest on a principal of $2,500.00 over 14.05 years (730.5 weeks) is 0.6845% per week.

7 0
3 years ago
A mechanic has a set fee for working on someone's automobile and charges by the hour for making repairs. The total cost of her s
julia-pushkina [17]
I think it’s either b or c. But I’m leaning more towards c
7 0
2 years ago
Mr Adams has poster paper that is 10 3/4 feet long. He wants to make sheets that are 1/4 of a foot long to make paper airplanes.
8090 [49]

Answer:

43

Step-by-step explanation:

divide 10 3/4 by 1/4

4 0
2 years ago
Is x^5 - 5x^4 + 4x^3 - 3x^2 + 2x + 1 a polynomial
vfiekz [6]

Answer:

yes

Step-by-step explanation:

Polynomial Long Division :

4.3    Polynomial Long Division

Dividing :  x5-5x4+10x3-10x2+5x-1

                             ("Dividend")

By         :    x-1    ("Divisor")

dividend     x5  -  5x4  +  10x3  -  10x2  +  5x  -  1

- divisor  * x4     x5  -  x4                

remainder      -  4x4  +  10x3  -  10x2  +  5x  -  1

- divisor  * -4x3      -  4x4  +  4x3            

remainder             6x3  -  10x2  +  5x  -  1

- divisor  * 6x2             6x3  -  6x2        

remainder              -  4x2  +  5x  -  1

- divisor  * -4x1              -  4x2  +  4x    

remainder                     x  -  1

- divisor  * x0                     x  -  1

remainder                        0

Quotient :  x4-4x3+6x2-4x+1  Remainder:  0

4 0
3 years ago
Help help help help please
Gnoma [55]

4Th option is correct ✔️ ✔️

5 0
3 years ago
Read 2 more answers
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