All categories

2 years ago

What is the remainder if f(x) = x4 – 5x2 - 6x - 10 is divided by x - 3?

Mathematics

1 answer:

bezimeni [28]2 years ago

5 0

Answer:-46

Step-by-step explanation: just took test

You might be interested in

How can you find the area of a two-dimensional composite figure, or the surface area of a three-dimensional composite figure?

goldenfox [79]

Step-by-step explanation:

a. the area of a two-dimensional composite figure

In this situation, we need to draw any necessary segments to view the figure as basic shapes, then:

Step 1: add basic shape areas belonging to the composite shape
Step 2: subtract basic shape areas NOT belonging to the composite shape

b. the surface area of a three-dimensional composite figure

As we know (3D) composite objects are made of two or more objects put together. To find the surface area of a 3D composite object, we need:

Step 1: find the outside surface area of each object
Step 2: add the surface areas together

Hope it will find you well

8 0

3 years ago

Rewrite the statement in mathematical notation. (Let y be the distance from the top of the ladder to the floor, x be the distanc

In-s [12.5K]

Answer:

$\frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}$

Step-by-step explanation:

Let L be the length of the ladder,

Given,

x = the distance from the base of the ladder to the wall, and t be time.

y = distance from the base of the ladder to the wall,

So, by the Pythagoras theorem,

$L^2 = y^2 + x^2$

$\implies L = \sqrt{y^2 + x^2}$ ,

Differentiating with respect to time (t),

$\frac{dL}{dt}=\frac{d}{dt}(\sqrt{x^2 + y^2})$

$=\frac{1}{2\sqrt{x^2 + y^2}}\frac{d}{dt}(x^2 + y^2)$

$=\frac{1}{2\sqrt{x^2 + y^2}}(2x\frac{dx}{dt}+2y\frac{dy}{dt})$

$=\frac{1}{\sqrt{x^2 +y^2}}(x\frac{dx}{dt}+y\frac{dy}{dt})$

Here,

$\frac{dy}{dt}=-6\text{ ft per sec}$

Also, $\frac{dL}{dt} = 0$ ( Ladder length = constant ),

$\implies \frac{1}{\sqrt{x^2 +y^2}}(x(-6)+y\frac{dy}{dt})=0$

$-6x + y\frac{dy}{dt}=0$

$y\frac{dy}{dt}=6x$

$\implies \frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}$

Which is the required notation.

8 0

3 years ago

Here is a better pic

Sedaia [141]

Answer:

domain: (-5, infinity)

range: (-infinity, 2)

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Compare each set of rational numbers.

Fed [463]

Hey.. don’t click on that link or any links on here !!! but i jus wanna say you didn’t attach an image of your question :).

4 0

3 years ago

Which two values of x are the roots of the polynomial below? x^2+5x+11

In-s [12.5K]

Answer:

x = -5/2 + i√19 and x = -5/2 - i√19

Step-by-step explanation:

Next time, please share the possible answer choices.

Here we can actually find the roots, using the quadratic formula or some other approach.

a = 1, b = 5 and c = 11. Then the discriminant is b^2-4ac, or 5^2-4(1)(11). Since the discriminant is negative, the roots are complex. The discriminant value is 25-44, or -19.

Thus, the roots of the given poly are:

-5 plus or minus i√19

x = -----------------------------------

2(1)

or x = -5/2 + i√19 and x = -5/2 - i√19

5 0

3 years ago

Read 2 more answers