All categories

3 years ago

Divide (x^3 - 4x^2 - 2x -5) by (x-5)

Mathematics

1 answer:

Shkiper50 [21]3 years ago

3 0

Answer:

Quotient = x² + x + 3

Reminder = 10

Step-by-step explanation:

We need to divide , x³ - 4x² - 2x - 5 by x - 5

x - 5) x³ - 4x² - 2x - 5 ( x² + x + 3

- x³ -(+)5 x²

_______________

0 + x² - 2x - 5

x² -5x

__________________

0 +3x - 5

+3x -15

__________________

+10

You might be interested in

Find the solutions in the interval [0, 360]

seropon [69]

<span>I think the answers to number 1 is 0, 36, 72, 108, 144, 180, 216, 252, 288, and 324 degrees

that might be wrong though

</span>

3 0

2 years ago

What is the equation of the quadratic graph with a focus of (4,3) and a directrix of y=-6

Rufina [12.5K]

Answer:

f(x) = (1/18)x^2 - (4/9)x - 65/18

Step-by-step explanation:

Since the focus (4,3) is higher up than is the directrix y = -6, the vertex is between y = -6 and y = 3, halfway between these values, to be exact: y = -3/2. Thus, the y-coordinate of the vertex is (-6 + 3/2), or -4.5. The x-coordinate of the vertex is 4, which comes from that 4 in (4,3). Thus, the vertex is (4, -4.5) or (4, -4 1/2).

The standard equation for a vertical parabola with vertex at (h,k) is:

4p(y-k) = (x-h)^2, where p is the distance between vertex and focus or between vertex and directrix. In this case p = 4.5. Thus, the equation of this quadratic is 4(4.5)(y - [-4.5]) = (x - 4)^2, or

18(y+4.5) = (x-4)^2, or y+4.5 = (1/18)(x-4)^2.

Let's expand this and rewrite the result as a quadratic equation in standard form y = ax^2 + bx + c:

y + 4.5 = (1/18)(x^2 - 8x + 16). Multiplying all terms by 18 to remove both fractions, we get:

18y + 81 = x^2 - 8x + 16. Rearranging these terms, we get:

18y = x^2 - 8x + 16 - 81, or

18y = x^2 - 8x - 65, or

y = f(x) = (1/18)x^2 - (4/9)x - 65/18.

5 0

3 years ago

Read 2 more answers

Pls help fast, everything is in the attached file

IgorLugansk [536]

Answer:

$\frac{20}{369}$

Step-by-step explanation:

$\frac{ 3.4:1.8 - 1 \frac{2}{3} + \frac{7}{9} }{0.918:0.51 + 0.45} =$
$\frac{\frac{34}{18}- \frac{5}{3}+\frac{7}{9} }{18 +\frac{45}{100} } =$
$\frac{\frac{17}{9}-\frac{15}{9}+\frac{7}{9}}{18+ \frac{9}{20} } =$
$\frac{\frac{17-15+7}{9} }{\frac{369}{20} } =$
$\frac{9}{9} } *\frac{20}{369} =$
$\frac{20}{369}$

8 0

2 years ago

Write as a mathematical expression he product of 5 and x

Vaselesa [24]

The answer to the question

8 0

3 years ago

An experiment consists of drawing a marble out of a bag, observing the color, and then placing it back in the bag. Suppose the e

Elan Coil [88]

The experimental data suggest that

$\mathbb P(\text{red})\approx\dfrac{38}{75}$
$\mathbb P(\text{blue})\approx\dfrac{23}{75}$
$\mathbb P(\text{green})\approx\dfrac{11}{75}$
$\mathbb P(\text{yellow})\approx\dfrac3{75}$

Because the marble is replaced after being drawn, and so the number of marbles of a given color remains the same, the event of drawing any given color is independent of what was drawn before. So

$\mathbb P(\text{2 consecutive yellows})\approx\dfrac3{75}\cdot\dfrac3{75}=\dfrac1{625}$

5 0

3 years ago

Read 2 more answers