Divide: (-4x^3+35x+25)÷(-2x-5)

Mathematics

2 answers:

aleksklad [387]3 years ago

6 0

Okay. After some work here is the answer I got.

Hoped I Helped. Have A Wonderful Day. :)

Mamont248 [21]3 years ago

4 0

Answer: The required answer is $2x^2-5x-5.$

Step-by-step explanation: We are given to divide the following algebraic fraction :

$F=\dfrac{-4x^3+35x+25}{-2x-5}.$

We will try to write the cubic numerator as a product of a linear factor (denominator) and a quadratic factor.

The simplification is as follows :

$F\\\\=\dfrac{-4x^3+35x+25}{-2x-5}\\\\\\=\dfrac{-(4x^3-35x-25)}{-(2x+5)}\\\\\\=\dfrac{4x^3-35x-25}{2x+5}\\\\\\=\dfrac{2x^2(2x+5)-5x(2x+5)-5(2x+5)}{2x+5}\\\\\\=\dfrac{(2x+5)(2x^2-5x-5)}{(2x+5)}\\\\=2x^2-5x-5.$

Thus, the required answer is $2x^2-5x-5.$

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garik1379 [7]

The answer is 12x3y5 divided by 8x15x5y2

6 0

3 years ago

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Lana71 [14]

Answer:

Step-by-step explanation

$(8 * 10) + ( 2 * \frac{1}{100} ) + ( 9 * \frac{1}{1000} )$

⇒ 80 + ( 2 * 0.01 ) + ( 9 * 0.001 )

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6 0

3 years ago

Use these functions to answer the questions.

Elenna [48]

Part A
We have $f\left(x\right)=\left(x+3\right)^2-1$ . To solve for the x-intercept, we set f(x) equal to 0. That is
$\left(x+3\right)^2-1=0$

$\left(x+3\right)^2=1$

Take the square root of both sides,
$x+3=1$

$x=-2$

The x-intercept is (-2,0).

To solve for the y-intercept, we set x=0. That is
$y=\left(0+3\right)^2-1=3^2-1=9-1=8$

The y-intercept is (0, 8)

The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).

Part B.
We have $g\left(x\right)=-2x^2+8x+3$ .
Factor out -2
$=-2\left(x^2-4x\right)+3$

Complete the square
$=-2\left(x^2-4x+4\right)+3-2\left(4\right)$

Simplify
$g(x)=-2\left(x-2\right)^2-5$

Part C
We have $h\left(t\right)=-16t^2+28t$ .
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.