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sukhopar [10]
3 years ago
12

How do you factor this polynomial as a product of more than two factors? x3+8x2+15x

Mathematics
1 answer:
umka21 [38]3 years ago
7 0
x^3+8x^2+15x =\\
x(x^2+8x+15)=\\
x(x^2+3x+5x+15)=\\
x(x(x+3)+5(x+3))=\\
x(x+5)(x+3)

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Neil drives at an average speed of 60 miles/hour to reach
nikklg [1K]

Answer:

 480/(x+60) ≤ 7

Step-by-step explanation:

We can use the relations ...

 time = distance/speed

 distance = speed×time

 speed = distance/time

to write the required inequality any of several ways.

Since the problem is posed in terms of time (7 hours) and an increase in speed (x), we can write the time inequality as ...

 480/(60+x) ≤ 7

Multiplying this by the denominator gives us a distance inequality:

 7(60+x) ≥ 480 . . . . . . at his desired speed, Neil will go no less than 480 miles in 7 hours

Or, we can write an inequality for the increase in speed directly:

 480/7 -60 ≤ x . . . . . . x is at least the difference between the speed of 480 miles in 7 hours and the speed of 60 miles per hour

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Any of the above inequalities will give the desired value of x.

8 0
4 years ago
Find the slope of the lines (-3,-1) and (-6,-10)
OleMash [197]

m = rise/run = (-10 - (-1))/(-6 - (-3)) = -9/-3 = 3

the slope of the line is equal to 3.

3 0
1 year ago
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Lina20 [59]
He will need to save for 40 weeks
3 0
3 years ago
The volume of a rectangular prism is represented by the function x
likoan [24]

Answer:

x = 4

Step-by-step explanation:

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5 0
3 years ago
-3y + 8x = 36<br> 6x + y = -21
tiny-mole [99]

Answer:

x=−27/26

and y=−192/13

Step-by-step explanation:

6x+y=−21;8x−3y=36

Step: Solve6x+y=−21for y:

6x+y=−21

6x+y+−6x=−21+−6x(Add -6x to both sides)

y=−6x−21

Step: Substitute−6x−21foryin8x−3y=36:

8x−3y=36

8x−3(−6x−21)=36

26x+63=36(Simplify both sides of the equation)

26x+63+−63=36+−63(Add -63 to both sides)

26x=−27

26x

26

=

−27

26

(Divide both sides by 26)

7 0
3 years ago
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