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mr Goodwill [35]
4 years ago
12

Simplify the expression below. (-3x2 + 2x - 4) + (4x2 + 5x +9)

Mathematics
2 answers:
TiliK225 [7]4 years ago
4 0

Answer: =x2+7x+5

Step-by-step explanation:

−3x2+2x−4+4x2+5x+9

=−3x2+2x+−4+4x2+5x+9

Combine Like Terms:

=−3x2+2x+−4+4x2+5x+9

=(−3x2+4x2)+(2x+5x)+(−4+9)

=x2+7x+5

Answer:

=x2+7x+5

GenaCL600 [577]4 years ago
3 0

Answer:

x^2+7x+5

Step-by-step explanation:

Remove parentheses: -3x^2+2x-4+4x^2+5x+9

Group like terms: -3x^2+4x^2+2x+5x-4+9

Add similar elements: x^2+2x+5x-4+9

Add/subtract the numbers: x^2+7x+5

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A woman drives an SUV that gets 10 mi/gal (mpg). Her husband drives a hybrid that gets 50 mpg. Every week, they travel the same
zavuch27 [327]

Answer:

The best option would be Number 1.

Step-by-step explanation:

Let's say that they each traveled 1,000 miles a week, meaning that instead of the SUV using 100 gallons of gas, it would be using 90.9, which is 9.1 gallons less.

The hybrid will only use 20 gallons of gas in that week. Meaning together, they will be 100.9 gallons a week for 1,000 miles.

In option 2, they would still be using 100 gallons of gas for the SUV a week, except, the hybrid would only be using 12.5 gallons, which is 7.5 gallons less.

The total of those together would be 112.5 gallons a week for 1,000 miles. So, it may be a small difference between the two options, yet Option 1 is the best choice on how to save gas.

5 0
3 years ago
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A psychologist is interested in constructing a 99% confidence interval for the proportion of people who accept the theory that a
Leona [35]

Answer:

B is correct i think

Step-by-step explanation:

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3 years ago
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3 years ago
A 0. 0427 kg racquetball is moving 22. 3 m/s when it strikes a stationary box. The ball bounces back at 11. 5 m/s, while the box
andreyandreev [35.5K]

To solve the question we must know about the conservation of momentum.

<h2>Conservation of Momentum</h2>

According to the law of conservation of momentum, when two bodies collide with each other then their momentum is conserved if no external force acts on the system. therefore, the combined momentum of the two objects before collision will be equal to the combined momentum of the two objects after the collision.

the momentum of the two objects before the collision

                       = momentum of the two objects after the collision

The mass of the box is 0.30141 kg.

<h2>Explanation</h2>

Given to us

  • Mass of racquetball, m = 0.0427 kg,
  • Velocity of racquetball before Collision,  \bold{u_1} = 22.3 m/s,
  • Velocity of box before Collision,\bold{ u_2}  = 0 m/s,
  • Velocity of racquetball after Collision, \bold{v_1} = 11.5 m/s,
  • Velocity of box after Collision, \bold{v_2} = 1.53 m/s,

<h3>Assumption</h3>

Let the mass of the box be M.

<h3>Conservation Of Momentum</h3>

Momentum before collision = Momentum after collision

mu_1 + Mu_2 = mv_1 + Mv_2

given, the box was stationary before the collision,

mu_1 + Mu_2 = mv_1 + Mv_2\\\\&#10;mu_1 + 0 = mv_1 + Mv_2\\\\&#10;mu_1  - mv_1 = Mv_2\\\\&#10;M= \dfrac{mu_1  - mv_1}{v_2}

Substituting the values,

M= \dfrac{mu_1  - mv_1}{v_2}\\\\&#10;M = \dfrac{(0.0427 \times 22.3)  - (0.0427\times 11.5)}{1.53}\\\\&#10;M = 0.30141\ kg

Hence, the mass of the box is 0.30141 kg.

Learn more about Conservation of Momentum:

brainly.com/question/2141713

3 0
3 years ago
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VikaD [51]

Answer:

0.645.

Step-by-step explanation:

Divide  64.5  by 100. This moves the decimal point 2 places to the left.

5 0
3 years ago
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