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LenaWriter [7]
3 years ago
7

How do I factor 8x^2+12+48?

Mathematics
1 answer:
wolverine [178]3 years ago
8 0
<h3><u>4(2x^2 + 3x + 12)</u></h3>

We can factor a 4 out of this expression.

4(2x^2 + 3x + 12)

Now that the expression is simplified, we can see if splitting the middle term is possible.

<em><u>Display factors of 24.</u></em>

1 * 24

-1 * - 24

2 * 12

-2 * -12

3 * 8

-3 * - 8

4 * 6

-4 * -6

All factors of 24 have been listed, and none of these digits satisfy the criteria.

Trinomial cannot be further factored.

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tensa zangetsu [6.8K]

Answer:

Draw a picture and you'll see a right triangle with sides = 7 and 24 and hypotenuse = r (the cricle's radius).  By the Pythagorean Theorem:

 

r2 = 72 + 242

 

Area = pi·r2

Step-by-step explanation:

4 0
3 years ago
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 function T(n) is defined below. Which of the following are equal to T(8)? Check all that apply. T(n) = 4n - 5
Klio2033 [76]
T(n)=4n-5\\\\T(8)=4\cdot8-5=32-5=27\\\\T(5)+T(3)=4\cdot5-5+4\cdot3-5=20-5+12-5=22\neqT(8)\\\\T(7)+4=4\cdot7-5+4=28-5+4=27\\\\Answer:\\B.\ 27\\D.\ T(7)+4
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3 years ago
Please help. pictrue shownn
goblinko [34]
The answer choice A is correct
4 0
3 years ago
Read 2 more answers
Which is the correct interpretation of the x-intercepts of the function?
anyanavicka [17]

Answer:

The x-intercepts of a function are when the graph/function crosses the x-axis when y = 0.

Step-by-step explanation:

5 0
4 years ago
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