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olga nikolaevna [1]
2 years ago
8

Can someone please help me solve 91

Mathematics
2 answers:
sasho [114]2 years ago
8 0
3x^3+7x^2-20x=0  factor out x first

x(3x^2+7x-20)=0

x(3x^2+12x-5x-20)=0

x(3x(x+4)-5(x+4))=0

x(3x-5)(x+4)=0

x={-4, 0, 5/3}
Mashcka [7]2 years ago
5 0
3x^3+7x^2-20x=0\\
x(3x^2+7x-20)=0\\
x(3x^2-5x+12x-20)=0\\
x(x(3x-5)+4(3x-5))=0\\
x(x+4)(3x-5)=0\\
x=0 \vee x=-4 \vee x=\dfrac{5}{3}
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The Tigers, a football team, must gain 10 yards in the next four plays to keep possession of the ball. The Tigers lose 24 yards,
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Answer:

<h3>B. The must gain 20 yards to keep possession</h3>

Step-by-step explanation:

Let the number of yards gained be positive

Let the number of yards lost be negative

Since the total that must be gained in the next four games is 10, hence the total is +10

If The Tigers lose 24 yards, gain 4 yards, and lose 10 yards in the first three rounds with x being the number of yards in the fourth round, this is expressed as;

-24 + 4 - 10 + x = 10

-20 - 10 + x = 10

-30 + x = -10

x = -10 + 30

x = 20

Hence they need 20 yards in the last round to keep possession

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2 years ago
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Step-by-step explanation:

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Natali [406]

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6 0
2 years ago
You are a traffic accident investigator. You have arrived at the scene of an accident. Two trucks of equal mass (3,000 kg each)
Kazeer [188]

Answer:

1) Kinetic energy of the truck 1 is 600,000 joules.

Kinetic energy of the truck 2 is 1,837,500 joules.

2 a)Potential energy of truck 1 is 646,800 Joules.

b) Energy lose by the truck 1 just got converted into heat and sound energy during the collision.

Step-by-step explanation:

Mass of the truck 1 and truck 2,m = 3000 kg

Velocity of the truck 1, v_1 = = 20 m./s

Velocity of the truck 2,v_2 = 35 m./s

1. Kinetic energy of the truck 1:\frac{1}{2}mv_{1}^2=\frac{1}{2}\times 3000 kg\times (20 m/s)^=600,000 joules

Kinetic energy of the truck 2:\frac{1}{2}mv_{2}^2=\frac{1}{2}\times 3000 kg\times (35 m/s)^=1,837,500 joules

2.a) Energy loose by the truck 1:

Initial height of the truck on the hill = 22 m

At that height potential energy will be maximum:

Potential energy of truck 1 at that height = mgh=3000\times 9.8 m/s^2\times 22 m=646,800 Joules

b) Energy lose by the truck 1 just got converted into heat and sound energy during the collision.

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3 years ago
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