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2 years ago

For f(x)=3x+1 and g(x)=(x^2)-6, find (g/f)(x).

Mathematics

2 answers:

professor190 [17]2 years ago

7 0

Answer:

Answer: x^2-6/3x+1,x not equal to -1/3

Step-by-step explanation:

apex thank me later

iragen [17]2 years ago

6 0

$f(x)=3x+1;\ g(x)=x^2-6\\\\\left(\dfrac{g}{f}\right)(x)=\dfrac{g(x)}{f(x)}\\\\\boxed{\left(\dfrac{g}{f}\right)(x)=\dfrac{x^2-6}{3x+1}}$

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An oak tree cast a shadow of 14 feet. A 30 foot flagpole casts a shadow of 60 how tall the Oak tree?

Alina [70]

Answer:

7 feet

Step-by-step explanation:

Oak tree = x

14 : x as 60 : 30

Simplify the right ratio

14 : x as 2:1

Get the same first number in both ratios by multiplying 2:1 by 7

14 : x as 2(7) + 1(7)

14 : x as 14 : 7

Since the first number in each ratio is the same, we know that that x and 7 are equal

x = 7

Hope this helps, feel free to let me know if you would like a further explanation :)

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2 years ago

A pharmaticeutical company is making a new medicine capsule shaped like a cylinder with a half sphere at each end. The

DerKrebs [107]

Answer:

339.12 cubic millimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The volume of the figure is equal to the volume of the two hemispheres (one sphere) plus the volume of the cylinder

step 1

Find the volume of the cylinder

The volume is given by

$V=Bh$

where

B is the area of the base of cylinder

h is the height of cylinder

we have

$B=\pi r^{2}$

we have

$h=8\ mm$

$r=6/2=3\ mm$ ----> the radius is half the diameter

$B=(3.14)(3)^{2}$

$B=28.26\ mm^2$

substitute

$V=(28.26)(8)=226.08\ mm^3$

step 2

Find the volume of the sphere

The volume is given by

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

we have

$r=6/2=3\ mm$ ----> the radius is half the diameter

substitute

$V=\frac{4}{3}(3.14)(3)^{3}=113.04\ mm^3$

step 3

Adds the volumes

$226.08+113.04=339.12\ mm^3$

6 0

2 years ago

Is V <br> 5 rational or irrational

madreJ [45]

Answer:

it's a whole number

Step-by-step explanation:

it's a whole number

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2 years ago

The value 5pi/24 is a solution for the equation 4 cos^2 (4x)-3=0. True or false

Margaret [11]

Let's check.

x = 5π/24

4x = 5π/6

cos 4x = cos(5π/6) = cos 150° = -√3/2

cos² 4x = (-√3/2)^2 = 3/4

4 cos² 4x -3 = 4 (3/4) - 3 = 0

Answer: TRUE

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3 years ago

The radius of a circle is 3 yards. What is the circle's circumference?

Elden [556K]

Answer:

18.85

Step-by-step explanation:

2(3.14)(3)

8 0

2 years ago