Ask question

Ask question

All categories

3 years ago

15

(8x^3+4x^2+100)/(2x+5)

1 answer:

allochka39001 [22]3 years ago

8 0

Answer:

$4x^2-8x+20$

Step-by-step explanation:

$\frac{8x^3+4x^2+100}{2x+5}$
$\frac{8x^3+20x^2-16x^2+100}{2x+5}$
$\frac{4x^2(2x+5)-4(4x^2-25)}{2x+5}$
$\frac{4x^2(2x+5)-4(2x-5)(2x+5)}{2x+5}$
$\frac{(2x+5)(4x^2-4(2x-5))}{2x+5}$
$4x^2-4(2x-5)$
$4x^2-8x+20$

You might be interested in

An arithmetic sequence has this recursive formula:

Marianna [84]

Answer:

Option D is the correct option.

<em>please </em><em>see</em><em> the</em><em> attached</em><em> picture</em><em> for</em><em> full</em><em> solution</em><em>.</em><em>.</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>

5 0

3 years ago

Solve and Graph -x+4y=-16

nikdorinn [45]

Hoped that this helpedd!!

3 0

3 years ago

B+7/5=-5<br> What does 'b' equal ?

SVEN [57.7K]

B is equal to negative 8

5 0

3 years ago

Read 2 more answers

Solve the system of equations below by graphing.

algol [13]

ANSWER

The correct answer is B

<u>EXPLANATION</u>

The first function is

$x^2-2x+y-3=0$

We make y the subject to obtain;

$y=-x^2+2x+3$

Let us quickly write this in the vertex form.

$y=-(x^2-2x)+3$

$y=-(x^2-2x+(-1)^2)+3+(-1)^2$

$y=-(x-1)^2+4$

Since the $a$ is negative, the graph opens up.

The vertex is at $(1,4)$

The y-intercept is $-3$

The x-intercept is found by equating the function to zero.

$-(x-1)^2+4=0$

$\Rightarrow (x-1)^2=4$

$\Rightarrow (x-1)=\pm 2$

$\Rightarrow x=1 \pm2$

$\Rightarrow x=-1,3$

With these information we can quickly sketch the graph as shown in the attachment(the red graph).

For the second function,

$x^2+y=0$

we again make y the subject to obtain,

$y=-x^2$

This is a basic quadratic function that can be graphed easily. Note that it is also a maximum graph.

From the graph the solution to the two functions is

$(-1.5,-2.25)$

3 0

3 years ago

Find x.<br> a. 40.3<br> b. 37.2<br> c. 17.3<br> d. 19.1

borishaifa [10]

Answer:

x = 17.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 25 = x /41

41 sin 25 = x

17.32734=x

Rounding to the tenths place

x = 17.3

7 0

3 years ago

Read 2 more answers