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3 years ago

Complete the square to solve the equation below.

Mathematics

2 answers:

slava [35]3 years ago

5 0

*ANSWER:*

I think the answer is Option (B)

Step-by-step explanation:

..........

iogann1982 [59]3 years ago

4 0

Answer:

x = 5 ± $\sqrt{44}$

Step-by-step explanation:

Given

x² - 10x - 2 = 17 ( add 2 to both sides )

x² - 10x = 19

To complete the square

add ( half the coefficient 0f the x- term )² to both sides

x² + 2(- 5)x + 25 = 19 + 25

(x - 5)² = 44 ( take the square root of both sides )

x - 5 = ± $\sqrt{44$ ( add 5 to both sides )

x = 5 ± $\sqrt{44}$

Then solutions are

x = 5 - $\sqrt{44}$ , x = 5 + $\sqrt{44}$

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Write the first five terms of the geometric sequence in which a1=8 and the common ratio is -1/2.

Oliga [24]

Answer:

First five terms are:

8 , (-4) , 2 , (-1) , (1/2)

Step-by-step explanation:

$a_{1}=8 \\\\r = \frac{-1}{2}\\\\a_{2}=\frac{-1}{2}*a_{1}= \frac{-1}{2}*8= -4\\\\a_{3}=\frac{-1}{2}*a_{2}=\frac{-1}{2}*-4=2\\\\a_{4}=\frac{-1}{2}*a_{3}=\frac{-1}{2}*2=-1\\\\a_{5}=\frac{-1}{2}*a_{4}=\frac{-1}{2}*-1=\frac{1}{2}$

4 0

3 years ago

Solve the equation by Square Root Method 16n^2-25=0

Anton [14]

Answer:

Step-by-step explanation:

16n^2-25=0

16n^2=25

n^2=25/16

n=+-5/4

5 0

3 years ago

Read 2 more answers

(F x G)(x)<br> F(G(x))<br> G[F(x)]<br> F[G(x)]<br> G(F(x))

pentagon [3]

The results of the composite functions are:

$(f \times g)(x) = 6x^2-9x$

$f(g(x)) = 6x - 3$

$g(f(x)) = 6x - 9$

<h3>What are composite functions?</h3>

Composite functions are functions that are obtained by combining two or more functions together

Assume that:

$f(x) = 2x - 3$

$g(x) = 3x$

Then the computation of the composite functions are as follows:

<h3>Function (f * g)(x)</h3>

$(f \times g)(x) = f(x) \times g(x)$

$(f \times g)(x) = (2x-3) \times (3x)$

$(f \times g)(x) = 6x^2-9x$

<h3>Function f(g(x))</h3>

We have: $f(x) = 2x - 3$

This gives

$f(g(x)) = 2g(x) - 3$

So, we have:

$f(g(x)) = 2(3x) - 3$

$f(g(x)) = 6x - 3$

<h3>Function g(f(x))</h3>

We have: $g(x) = 3x$

This gives

$g(f(x)) = 3f(x)$

So, we have:

$g(f(x)) = 3(2x - 3)$

$g(f(x)) = 6x - 9$

Read more about composite functions at:

brainly.com/question/10687170

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2 years ago

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horsena [70]

Answer:

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Step-by-step explanation:

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8 0

3 years ago

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mote1985 [20]

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6 0

3 years ago