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Gennadij [26K]
2 years ago
8

Solve for x in the equation 3 x squared minus 18 x + 5 = 47.

Mathematics
1 answer:
Lana71 [14]2 years ago
6 0

Answer:

first option

Step-by-step explanation:

3x² - 18x + 5 = 47 ( subtract 5 from both sides )

3x² - 18x = 42 ( divide through by 3 )

x² - 6x = 14

Using the method of completing the square

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

x² + 2(- 3)x + 9 = 14 + 9

(x - 3)² = 23 ( take square root of both sides )

x - 3 = ± \sqrt{23} ( add 3 to both sides )

x = 3 ± \sqrt{23}

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The relative frequency is 10%......(5/50 symplifies to 1/10)

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7 0
3 years ago
How to solve 3x+y=6 and y=-3 using substation method
mafiozo [28]

Answer:

x=3

Step-by-step explanation:

since they give you y this is a very simple problem

simply replace y with -3 and get

3x+(-3)=6

adding a negative number is the same as subtracting a positive number

3x-3=6

add 3 on both sides

3x=9

divide by 3 on both sides

x=3

7 0
3 years ago
Find the sixth term of the geometric sequence<br> 9, 18, 36, ...
timama [110]

Answer:

This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as

\begin{gathered}a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288\end{gathered}an=arn−1, where a=initial term, r=common ratio, n=term numberan=9(2n−1)a6=9(25)a6=288

6 0
3 years ago
Explain why f(x) is continuous at x=3
Elina [12.6K]

Answer:

f is not  defined at x = 3 ⇒ answer (b)

Step-by-step explanation:

∵ f(x) = x² - x - 6/x² - 9 is a rational function

∴ It will be undefined at the values of x of the denominator

∵ The denominator is x² - 9

∵ x² - 9 = 0 ⇒ x² = 9 ⇒ x = ±√9

∴ x = ± 3

∴ f(x) can not be defined at x = 3

∴ The f(x) can not be continuous at x = 3

∴ The answer is (b)

6 0
3 years ago
Read 2 more answers
Perform the operation (x^2+8x+8)+(-10x^2+5x)
PtichkaEL [24]

Answer:

Step-by-step explanation:

(x^2+8x+8)+(-10x^2+5x) = (x^2-10x^2) + (8x+5x) + 8

= -x^2 +13x + 8

4 0
2 years ago
Read 2 more answers
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