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andre [41]
3 years ago
5

Identify the roots of -3x^3-21x^2+72x+540=0State the multiplicity of each root.

Mathematics
1 answer:
Kryger [21]3 years ago
3 0
It took me awhile, but using the Rational Root Theorem and then synthetic division I got the first root.  If you don't know the RRT you'll be in heaps of trouble doing this type of problem.  I found the first root to be (x+6), then I did it again and got another root of (x+6) and the third one was (x-5).  So the roots of this polynomial (and there are 3 because this is a 3rd degree polynomial) are (x+6) with a multiplicity of 2, and (x-5).
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iVinArrow [24]
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6 0
3 years ago
Solve each proportion: 4/15=x/75 and t/9=35/6 how do you work these please show steps thank you
BARSIC [14]
Multiplied by the cross

4/15 = x /75

15•x=4•75
15x=300
x= 300 : 15
x=20

t/9 = 35/6

9•35 = t•6
315 =6t
315 : 6 = t

52,5 = t

5 0
3 years ago
A circular running track is 1/4 mile long. Elena runs on this track completing each lap of 1/20 of an hour. What is Elena's runn
Andrew [12]
Elenas running speed is 5 miles per hour
8 0
4 years ago
The length of a rectangle is 19 centimeters less than six times its width. Its area is 20 square centimeters. Find the width and
anzhelika [568]

Answer:

If the width is 5 cm and the length is 4 cm it satisfies both parts.

6 x 4 = 24

24 - 5 = 19

5 x 4 = area of 20

Step-by-step explanation:

8 0
3 years ago
In ΔBCD, the measure of ∠D=90°, the measure of ∠C=83°, and DB = 95 feet. Find the length of BC to the nearest tenth of a foot.
Paha777 [63]

Answer:

95.7

Step-by-step explanation:

\sin C = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{95}{x}

sinC=

hypotenuse

opposite

​

=

x

95

​

\sin 83=\frac{95}{x}

sin83=

x

95

​

x\sin 83=95

xsin83=95

Cross multiply.

\frac{x\sin 83}{\sin 83}=\frac{95}{\sin 83}

sin83

xsin83

​

=

sin83

95

​

Divide each side by sin 83.

x=\frac{95}{\sin 83}=95.7134\approx 95.7\text{ feet}

x=

sin83

95

​

=95.7134≈95.7 feet

Type into calculator and roundto the nearest tenth of a foot.

8 0
3 years ago
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