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masha68 [24]
3 years ago
6

9) Which solution is correct? Be sure to check for extraneous solutions.

Mathematics
1 answer:
shutvik [7]3 years ago
3 0

(x+3)2   =    x2+6x+9

 (x+2)2   =    x2+4x+4

  (x-1)2   =    x2-2x+1

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Can someone be so freaking awesome and help me out with the correct answer please :( !?!?!?!?!???!!! 30 points!!!
Sindrei [870]

\bf 7~~,~~\stackrel{7+6}{13}~~,~~\stackrel{13+6}{19}~~,~~\stackrel{19+6}{25}\qquad \impliedby \qquad \textit{common difference "d" is 6}

we know all it's doing is adding 6 over again to each term to get the next one, so then

\bf \stackrel{\textit{Recursive Formula}}{\stackrel{\textit{nth term}}{f(n)}~~=~~\stackrel{\textit{the term before it}}{f(n-1)}~~~~\stackrel{\textit{plus 6}}{+~~~~6}}

now for the explicit one

\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=7\\ d=6 \end{cases} \\\\\\ a_n=7+(n-1)6\implies a_n=7+6n-6\implies \stackrel{\textit{Explicit Formula}}{\stackrel{f(n)}{a_n}=6n+1} \\\\\\ therefore\qquad \qquad f(10)=6(10)+1\implies f(10)=61

3 0
3 years ago
The price of 4 dresses is $486 What is the rate of each dress?
Mariulka [41]
D. is the correct answer your just divide 486 by 4 you get 121.50
4 0
2 years ago
SOLVE, GRAPH AND CHECK:<br> 6(4- x) &lt; 12
jeka57 [31]

Answer:

The answer is : x > 2

5 0
3 years ago
DEFFERENTIATE X^sinx
inna [77]

Answer:

y = x^(sin(x))

y = e^(SIN(x)*LN(x))

y' = (COS(x)·LN(x) + SIN(x)/x)*e^(SIN(x)*LN(x))

y' = (COS(x)·LN(x) + SIN(x)/x)*x^(SIN(x))


4 0
3 years ago
Read 2 more answers
Use the identity (x+y)(x^2−xy+y^2)=x^3+y^3 to find the sum of two numbers if the product of the numbers is 28, the sum of the sq
lara31 [8.8K]

Step-by-step explanation:

We have xy = 28, x² + y² = 65 and x³ + y³ = 407.

Since (x + y)(x² - xy + y²) = x³ + y³,

x + y = (x³ + y³)/(x² + y² - xy)

= (407) / [(65) - (28)]

= 407 / 37

= 11.

Hence the sum of the numbers is 11.

4 0
3 years ago
Read 2 more answers
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