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1 year ago

Let f(x)=9x^3-12x^2-31 and let g(x)=3x-1. Find f(x)/g(x)

Mathematics

2 answers:

kumpel [21]1 year ago

6 0

Answer: f(x)/g(x) = 3x^2 + 6x - 2 - 12/3x+1

Step-by-step explanation:

The first function is f(x) = 9x^3+21x^2-14

The second function is g(x) = 3x+1

f(x)/g(x = 9x^3+21x^2-14/3x+1

We perform the long division as shown in the attachment to obtain the quotient as: Q(x) = 3x^2+6x - 2 and remainder R = -12

Therefore f(x)/g(x) = 3x^2 + 6x - 2 - 12/3x-1

Where x does not = -1/3

MakcuM [25]1 year ago

4 0

Answer:

Please, I do not know the answer, so give the other person brainliest!

Step-by-step explanation:

Please

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Number 17... please help!

son4ous [18]

2y2+y−10=0Step 1: Factor left side of equation.(2y+5)(y−2)=0Step 2: Set factors equal to 0.2y+5=0 or y−2=0y=−52 or y=2Answer:y=−52 or y=2

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2 years ago

Find the area of the trapezoid with a base of 19 inches, height 12.6 inches and base 29.2 inches

aksik [14]

Minor base: b=19 inches
Height: h=12.6 inches
Major base: B=29.2 inches

Area of the trapezoid: A
A=(b+B)h/2
Replacing the values:
A=(19 inches + 29.2 inches) (12.6 inches) / 2
A=(48.2 inches) (12.6 inches) / 2
A= (607.32 inches^2 ) /2
A= 303.66 inches^2

Answer: The area of the trapezoid is 303.66 square inches

3 0

2 years ago

Read 2 more answers

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

2 years ago

Read 2 more answers

Write 560% as a decimal and as a mixed number

vekshin1

560% as a decimal = 5.6
(move the decimal points 2 spaces to the left.)

560% as a mixed number = 5 3/5
(divide 560 by 100; 100 goes into 560 5 times so 5 will be your whole number and since you have 60 left you divide 60 by 100; 60/100 can be reduced to 3/5 if you divide the numerator and the denominator by 20)

hope this helps :)

8 0

2 years ago

Which expression has a value of 23?

DaniilM [7]

A) $7 - (-16) = \fbox {23}$

B) $-3 - 20 = \fbox {-23}$

C) $10 - 13 = \fbox {-3}$

D) $-18 - (-5) = \fbox {-13}$

You were correct, the exact answer is A. The others do not equal 23 besides that one. Good job!

6 0

2 years ago

Read 2 more answers