All categories

3 years ago

PLZZ HELPP!!! WILL GIVE BRAINLIEST!!!

Mathematics

2 answers:

lutik1710 [3]3 years ago

3 0

Answer:B. 2x^2 + 4x - 1 - 9/4x + 1

Step-by-step explanation:

f(x) = 8x^3 + 18x^2 − 10

g(x) = 4x + 1

We want to determine f(x)/g(x). We would apply the long division method. The steps are shown in the attached photo.

The correct answer is

2x^2 + 4x - 1 - 9/4x + 1

adoni [48]3 years ago

3 0

Answer:

$\text{B. }2x^{2} - 4x - 1 - \dfrac{9}{4x + 1}$

Step-by-step explanation:

One way is to use long division.

2x² + 4x - 1

4x + 1) 8x³ + 18x² - 10

8x³ + 2x²

16x²

16x² + 4x

-4x - 10

-4x - 1

- 9

$\dfrac{8x^{3} + 18x^{2} - 10} {4x+1} = 2x^{2} - 4x - 1 - \dfrac{9}{4x + 1}$

You might be interested in

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

Using the volume formula of a cylinder

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

Read 2 more answers

I need help with this please

34kurt

Answer:

5.5

Step-by-step explanation:

It asks for just the Stevens family, so the first sentence is a trick.

Take $49.50 and divide it by $9 an hour. You will end up with 5.5 hours.

3 0

2 years ago

The length and breadth of a table cloth are 2.5 m and 1.5 m. Find the length of lace

Galina-37 [17]

The total cost would be 200

4 0

2 years ago

Pls help me in this khan academy exercise

sweet-ann [11.9K]

Answer:

x= 180° - (103°+33°)

x= 180° - 136°

x= 44°

6 0

2 years ago

Write the word sentence as an equation.

Mrrafil [7]

Answer:

Step-by-step explanation:

54 equals 9 more than a number

So if we do this, we get

54 = x+9

x+9 = 54

54-9=x

54-x = 9

3 0

3 years ago