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3 years ago

X) = 5x^3 -2x and g(x) =3x^3. Find f(x) + g(x) & state the domain!

1 answer:

3 0

To add two functions, combine like terms. (5+3x^(3)) = 8x^3-2x. The domain is all real numbers. There is no bound on how small or large the numbers can be for cubed functions.

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What is the angle rotational symmetry when the order is 20? A. 10 B. 360 C. 18 D.90

Ulleksa [173]

Answer:

C. 18°

Step-by-step explanation:

The order of symmetry (n) is the number of times a shape fits onto itself during a complete turn through 360°.

The angle of rotational symmetry (θ) is the smallest angle through which the shape must be rotated to coincide with itself.

To find the angle, you divide the number of degrees in a circle by the order of symmetry.

θ = 360/n

= 360/20

= 18°

4 0

3 years ago

If B=1-q and c=3q-q^2-1 find an expression that equals b-c in standard form

hoa [83]

Answer:74

Step-by-step explanation:

6 0

3 years ago

The equation r(t)= (3t+9)i+(sqrt(2)t)j+(t^2)k is the position of a particle in space at time t. Find the angle between the veloc

andreev551 [17]

Answer:

$\theta= \frac{\pi}{2} +\pi \cdot i$ , for all $i = \mathbb{Z} \cup\{0\}$

Step-by-step explanation:

The velocity vector is found by deriving the position vector depending on the time:

$\dot r(t)= v (t) = 3 \cdot i +\sqrt{2} \cdot j + 2\cdot t \cdot k$

In turn, acceleration vector is found by deriving the velocity vector depending on time:

$\ddot r(t) = \dot v(t) = a(t) = 2 \cdot k$

Velocity and acceleration vectors at $t = 0$ are:

$v(0) = 3\cdot i + \sqrt{2} \cdot j\\a(0) = 2 \cdot k\\$

Norms of both vectors are, respectively:

$||v(0)||\approx 3.317\\||a(0)|| \approx 2$

The angle between both vectors is determined by using the following characteristic of a Dot Product:

$\theta = \cos^{-1}(\frac{v(0) \bullet a(0)}{||v(0)||\cdot ||a(0)||})$

Given that cosine has a periodicity of $\pi$ . There is a family of solutions with the form:

$\theta= \frac{\pi}{2} +\pi \cdot i$ , for all $i = \mathbb{Z} \cup\{0\}$

7 0

3 years ago

I need help with #2 plz!!!!!!!!!!!!!!!!!!!!!

Lubov Fominskaja [6]

To simplify the equation 3(5 + 2x), the distributive factor must be used, so the number outside the bracket (3), must be distributed (or multiplied) with each of the terms inside the brackets (5 and 2x) and then simplify

3(5 + 2x)
3(5) + 3(2x)
15 + 6x

6 0

3 years ago

14÷966 estimated the to number and help me get the answer

alexandr402 [8]

Answer: Rounded it would be 0, unrounded it would be 0.0144927536231884

Step-by-step explanation: Basic Division

5 0

3 years ago