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ValentinkaMS [17]
3 years ago
11

What is the factored form of x^3 + 125?

Mathematics
2 answers:
Lerok [7]3 years ago
7 0

x^3+125=x^3+5^3

Sums of cubes can be factored as

a^3+b^3=(a+b)(a^2+ab+b^2)

So

x^3+125=(x+5)(x^2+5x+25)

lukranit [14]3 years ago
4 0

Answer:C

Step-by-step explanation:

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Down the Drain: In a typical 5-minute shower, 30 gallons of water flow down the drain. How much water is used after 10 minutes?​
Bogdan [553]

Answer: 60 gallons

Step-by-step explanation:

5 minute = 30 gallons

10 minutes will use double as m uch water because it's double as much time

Therefore, it will use 60 gallons of water

6 0
2 years ago
Hi need help early giving out 98 points<br> Thank you : )
Setler [38]

Answer:

1)f(x)=2(3)^x

2)f(x)=10(2)^x

3)Graph attached

4) Amber will have 192 and 3145728 shares on day 3rd and 10th respectively

Ben will have 54 and 118,098 shares on day 3rd and 10th respectively

Carter will have 80 and 10240 shares on day 3rd and 10th respectively

5)the graph has moved 45 unit up

6)Amber's posts will travel fastest

7)Amber' function

Step-by-step explanation:

1)

Ben shares posts with two friends and then they share with 3 more everyday, so her the growth rate is 3

f(x)=2(3)^x

x=number of days

2)

Carter shares posts with ten friends and then they share with 2 more everyday, so her the growth rate is 2

f(x)=10(2)^x

x=number of days

3)

Graph attached contain graph's of following

Ben's f(x)=2(3)^x in red

Carter's f(x)=10(2)^x in blue

Amber's f(x)=3(4)^x in green

4)

Finding how many shares each student will get on day 3 and day 10:

For Amber:

substituting x=3,

f(x)=3(4)^3

     = 192

Now substituting x=10,

f(x)= 3(4)^10

     = 3145728

Amber will have 192 and 3145728 shares on day 3rd and 10th respectively

For Ben:

substituting x=3,

f(x)=2(3)^3

     = 54

Now substituting x=10,

f(x)= 2(3)^10

     = 118,098

Ben will have 54 and 118,098 shares on day 3rd and 10th respectively

For Carter:

substituting x=3,

f(x)=10(2)^3

     = 80

Now substituting x=10,

f(x)= 10(2)^10

     = 10240

Carter will have 80 and 10240 shares on day 3rd and 10th respectively

5)

If Amber's graph changes to

f'(x)=3(4)^x +45

then as per translation, it means the graph has moved 45 unit up from original position as shown in attached graph

original f(x)=3(4)^x in green

translated f'(x)=3(4)^x +45 in blue

6)

In exponential function the base of function effects the growth and in given cases of Amber, Ben and Carter; base of Amber's function is greatest i.e 4 other two have 2 and 3.

So Amber's posts will travel fastest

7) A post with fewer friends initially and then more shares like Amber. Because at the end of the day the growth rate is important and as explain above the number of shares i.e base of exponential function is important.

Hence for more shares and likes Amber' function is the best choice !

3 0
3 years ago
2(4x-3)&gt;-3(3x)+5x help
Roman55 [17]

Answer:

x>1/2

Step-by-step explanation:

2(4x-3)>-3(3x)+5x

Expand the brackets.

8x-6>-9x+5x

Add -9x and 5x

8x-6>-4x

Add 4x and 6x on both sides.

8x+4x>6

Add the like terms.

12x>6

Divide 12 into both sides.

12x/12>6/12

x>1/2

3 0
3 years ago
Read 2 more answers
Solve -7x^2+x+9=-6x quadratic formula
myrzilka [38]

Answer:

-7x^2+x+9=-6x

-7x^2+x+9+6x=-6x+6x

-7x^2+7x+9=0

quadratic\: formula

x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\left(-7\right)\cdot \:9}}{2\left(-7\right)}

\sqrt{-7^{2} -4(-7)\times9} =\sqrt{301}

x_{1,\:2}=\frac{-7\pm \sqrt{301}}{2\left(-7\right)}

\frac{-7+\sqrt{301}}{2\left(-7\right)}

=\frac{-7+\sqrt{301}}{-2\cdot \:7}

=\frac{-7+\sqrt{301}}{-14}

\frac{-7-\sqrt{301}}{2\left(-7\right)}

=\frac{-7-\sqrt{301}}{-2\cdot \:7}

=\frac{-7-\sqrt{301}}{-14}

answer=\frac{7+\sqrt{301}}{14}

OAmalOHopeO

7 0
3 years ago
Determine the measure of each indicated angle. Show all necessary steps!
Mariana [72]

The measure of the unknown angle are; a) x = 89 degrees, b) p = 92 degrees.

<h3>What is the sum of all the angles of a regular polygon?</h3>

For a regular polygon of any number of sides, the sum of its exterior angle is 360°.

We already know that a 4-sided polygon's angles add up to 360 degrees.

So to find the value of x:

69 + 118 + 84 + x = 360

x = 360 - (69 + 118 + 84)

x = 89 degrees

b)

For a 4-sided polygon, we also know that the outside angles add up to 360 degrees.

So to find the value of p:

100 + 62 + 106 + p = 360

p = 360 - (100 + 62 + 106)

p = 92 degrees

Learn more about interior angles of a regular polygon here:

brainly.com/question/14173422

#SPJ1

7 0
2 years ago
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