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3 years ago

Which of the following is a factor of x^3-4x^2-18x+9

2 answers:

7 0

Hello,

$x^3-4x^2-18x+9\\
=x^3+3x^2-7x^2-21x+3x+9\\
=x^2(x+3)-7x(x+3)+3(x+3)\\
=(x+3)(x^2-7x+3)\\
=(x+3)(x- \frac{7- \sqrt{37}}{2} )(x- \frac{7+ \sqrt{37}}{2} )$

monitta3 years ago

3 0

(x-2)(x^2-7x+3) most likely

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What is the rate of change.

Finger [1]

Answer:

-1

Step-by-step explanation:

Over 12 on the x axis it goes down 12 on the y axis so the rate of change is -1

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3 years ago

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erastovalidia [21]

Answer:

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4/ 2

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Step-by-step explanation:

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3 years ago

Solve 3x+2y=7 and x-4y=-21 by using substitution

noname [10]

$3x+2y=7 \\
x-4y=-21 \\ \\
\hbox{solve the second equation for x:} \\
x-4y=-21 \\
x=4y-21 \\ \\
\hbox{substitute 4y-21 for x in the first equation:} \\
3(4y-21)+2y=7 \\
12y-63+2y=7 \\
14y=7+63 \\
14y=70 \\
y=\frac{70}{14} \\
y=5 \\ \\
x=4y-21=4 \times 5-21=20-21=-1 \\ \\
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7 0

2 years ago

Please select the correct answer!

ioda

Answer:

the value of x must be -2 . ie option b

7 0

2 years ago

Read 2 more answers

A truck traveling 45 miles per hour and a train traveling 60 miles per hour cover the same distance. The truck travels 2 hours l

anygoal [31]

Answer:

6-hours

D = C + T

Step-by-step explanation:

The following equations represent the total distance travelled by each vehicle, the truck (C) and the Train (T) where x is the amount of time travelling in hours...

C = 45x

T = 60x

Since the truck traveled 2 hours longer than the train we can add this value to the variable x in the truck's distance equation and then make both equations equal one another to calculate the number of hours before they cover the same distance...

45(x+2) = 60x ... distribute 45 evenly

45x + 90 = 60x ... subtract 45x from both sides

90 = 15x ... divide both sides by 15

6 = x

Finally, we can see that both vehicles would have traveled the same distance at the 6-hour mark. Now to calculate the total distance traveled (D) we can use the following equation...

D = C + T

3 0

3 years ago