All categories

3 years ago

What’s the explanation

Mathematics

1 answer:

Viktor [21]3 years ago

4 0

Answer:

x³ + 2x² - 19x - 20

Step-by-step explanation:

x + 1 = 0

x = -1

Substitute x = (-1) in the polynomial

x³ + 2x² - 19x - 20 = (-1)³ + 2*(-1)² - 19 *(-1) - 20

= -1 + 2 +19 - 20

= -1 - 20 + 2 + 19

= -21 + 21 = 0

So, (x + 10 ix a factor of x³ + 2x² -19x - 20

You might be interested in

I would like some assistance pls

nasty-shy [4]

Answer:

where the x axis are you put Your numbers

7 0

3 years ago

How do I do numbers 23, im stuck

Vilka [71]

Go to 32 questions at random, buy some gas there, take the data and boom, you got an answer.

6 0

3 years ago

I’m putting the right answer which is “6” but the computer keeps telling me I’m wrong, I don’t understand, what else is there to

iragen [17]

You may have have forgotten to find the measure of A. Which would by using your 6 that you got would be 19.

16X-6=90

96=16X

X=6

8X6-29

48-29

3 0

3 years ago

Kittens weigh about 100 grams when born and gain 7 to 15 grams per day.If a kitten weighed 100 grams at birth and gained 8 grams

natka813 [3]

100 + 8d = 300; d = 25; The kitten will triple its weight in 25 days

8 0

3 years ago

Read 2 more answers

The graphs of the polar curves r = 4 and r = 3 + 2cosθ are shown in the figure above. The curves intersect at θ = π/3 and θ = 5π

Gennadij [26K]

(a)

$\displaystyle \frac{1}{2} \cdot \int_{\frac{\pi}{3}}^{\frac{5\pi}{3}} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta$

or, via symmetry

$\displaystyle\frac{1}{2} \cdot 2 \int_{\frac{\pi}{3}}^{\pi} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta$

____________

(b)

By the chain rule:

$\displaystyle \frac{dy}{dx} = \frac{ dy/ d\theta}{ dx/ d\theta}$

For polar coordinates, x = rcosθ and y = rsinθ. Since
r = 3 + 2cosθ, it follows that

$x = (3 + 2\cos\theta) \cos \theta \\ 
y = (3 + 2\cos\theta) \sin \theta$

Differentiating with respect to theta

$\begin{aligned}
\displaystyle \frac{dy}{dx} &= \frac{ dy/ d\theta}{ dx/ d\theta} \\
&= \frac{(3 + 2\cos\theta)(\cos\theta) + (-2\sin\theta)(\sin\theta)}{(3 + 2\cos\theta)(-\sin\theta) + (-2\sin\theta)(\cos\theta)} \\ \\
\left.\frac{dy}{dx}\right_{\theta = \frac{\pi}{2}}
&= 2/3
\end{aligned}$

2/3 is the slope

____________

(c)

"distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3

Angle θ and r are related via r = 3 + 2cosθ, so implicitly differentiating with respect to time

 $\displaystyle\frac{dr}{dt} = -2\sin\theta \frac{d\theta}{dt} \quad \stackrel{\theta = \pi/3}{\implies} \quad 3 = -2\left( \frac{\sqrt{3}}{2}}\right) \frac{d\theta}{dt} \implies \\ \\ \frac{d\theta}{dt} = -\sqrt{3} \text{ radians per second}$

5 0

3 years ago