Simplify: (2x^2-9x-6) - (8x^2+7+6)

2 answers:

8 0

The answer would be -6x^2-9x-19

Because firstly you distribute the negative sign

2x^2 -9x-6+-1(8x^2+7+6)

2x^2+-9x+-6-1(8x^2)+(-1)(7)+(-1)(6)

2x^2+-9x+-6+-8x^2+-7+-6

And combine like terms

chubhunter [2.5K]3 years ago

5 0

(2x²-9x-6) - (8x²+7+6)

let us distribute the negative sign over the second bracket first,

2x²-9x-6 - 8x²-7x-6

Now combining like terms

-6x²-16x-12

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fenix001 [56]

Move all the logarithms on the left hand side, and all the constants on the other:

$\log_2(x-2) - \log_2(x) = -1$

Use the rule of logarithms

$\log_a(b) - \log_a(c) = \log_a\left(\dfrac{b}{c}\right)$

To rewrite the equation as

$\log_2\left(\dfrac{x-2}{x}\right) = -1$

Evaluate 2 to the power of each side:

$\dfrac{x-2}{x} = 2^{-1} = \dfrac{1}{2}$

Multiply both sides by 2x:

$2(x-2) = x \iff 2x-4 = x \iff x = 4$

6 0

3 years ago

Read 2 more answers

Which of the following best describes the graph of the polynomial function

Varvara68 [4.7K]

ANSWER

The graph has no zero.

EXPLANATION

The given polynomial function is a quadratic graph that has its maximum point at

$(-1,0)$

The graph has no x-intercept.

This implies that, the polynomial function represented by this graph has no zeros.

The correct answer is option D

7 0

3 years ago

Read 2 more answers

How can you decompose the composite figure to determine its area?

Anna007 [38]

For this case the first thing you should do is observe that the diameter of the four semicircles is the same.

Therefore, we can decompose the figure as follows:

1) We draw the diameters of the four semicircles to form a square.

2) We divide the figure into a square and four semicircles

3) The total area is the sum of the area of the square, plus the area of the 4 semicircles.

Answer:

c)as a square and four semicircles