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viktelen [127]
3 years ago
15

Factor the following polynomial equation: f(x)=x^3+216

Mathematics
1 answer:
kogti [31]3 years ago
5 0

Answer: i think the answer is f(x)= (x+6)(x^2-6x+36)


Step-by-step explanation:

Since both terms are perfect cubes, use the cubes formula


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5(x-3) /8 +2=7 solve? ​
SVETLANKA909090 [29]

Answer:

Okay I'm not thoroughly understanding your question. But here is my answer for BOTH ways.

Step-by-step explanation:

If it's 5 TIMES 3x/8 +2=7

x= 8/3 or x=2.6

If it's 5(3x) OVER 8 in fraction form +2=7

x= 11

Hope this answers your question.

3 0
3 years ago
A cone with volume 2880 m³ is dilated by a scale factor of 1/4. What is the volume of the resulting cone?
labwork [276]
The volume of the cone is 2880 m3.
The scale factor is 1/4.
The volume of the cone has the formula (1/3)π r² h.
A scale factor of 1/4 will reduce the dimensions by 1/4 which will result to a total volume reduction of (1/4)³ = 1/64
The new volume will be 45 m3


5 0
3 years ago
Read 2 more answers
A taxicab charges $3.00 per person
Delicious77 [7]

Answer:

I believe the answer would be 20 miles max for one passenger.

Step-by-step explanation:

This is because if you create an equation out of this, knowing that only one passenger will be riding, you will get:

$3.00+$1.25x=$28       ($3 added too $1.25 times the number of miles (x) which equals the total amount you have ($28)).

x being the number of miles (so we need to calculate for x)

$3 + $1.25x = $28

-subtract 3 on both sides-

$1.25x=$28-$3

$1.25x=$25

-divide by 1.25 on both sides-

x=$25/$1.25

x=20 miles

Not sure if all calculations are correct, but I hope this helps :)!

6 0
3 years ago
Simplify and reduce to the lowest terms.<br> <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%7D%7B12%7D%20" id="TexFormula1" t
Paladinen [302]
When you divide two fractions, you're actually multiplying one of them by the reciprocal of the other. First, find the reciprocal of the second fraction by flipping it upside down. Then, multiply it by the first fraction. (Numerator x numerator and denominator x denominator)

\frac{-7}{12} ÷ \frac{2}{3}   Replace the second fraction with it's reciprocal
\frac{-7}{12} x \frac{3}{2}   Multiply (-7 x 3 and 12 x 2)
\frac{-21}{24} Both 21 and 24 are divisible by three, so divide them by 3
\frac{-7}{8}
6 0
3 years ago
It says write an equation of the line shown and the line goes through points 4,3 and 1,-3
RUDIKE [14]
Slope of the line;
slope=\frac{change in y}{change in x}
Slope=\frac{3--3}{4-1}
Slope,m =\frac{6}{3} =2
y=mx+c
y=2x+c
Replacing for x and y using point (4,3)
3=2(4)+c
3=8+c
c=3-8
c=-5
y=2x-5
4 0
3 years ago
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