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Dmitrij [34]
3 years ago
5

How do i simplify this 3xy (5x2 + 2xy + 3y2)

Mathematics
1 answer:
kirza4 [7]3 years ago
3 0

Answer:

15x^3y+6x^2y^2+9xy^3

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Please help. If you answer correctly and give an explanation I'll give you 5 stars, thanks, and brainliest.
timama [110]

The solution of the equation is  x=\frac{11}{7}

Step-by-step explanation:

To simplify an equation of x

  • Simplify each side of the equation
  • Collect x in side and the numerical terms in the other side
  • Find the value of x

∵ The equation is 2x + \frac{1-x}{4}=3

- Multiply all terms of the equation by 4 to cancel the denominator

 of the 2nd term in the left hand side

∵ The equation is 4(2x) +4 (\frac{1-x}{4})=4(3)

∴ 8x + (1 - x) = 12

∴ 8x + 1 - x = 12

- Add like terms

∴ (8x - x) + 1 = 12

∴ 7x + 1 = 12

- Subtract 1 from both sides

∴ 7x = 11

- Divide both sides by 7

∴ x=\frac{11}{7}

The solution of the equation is  x=\frac{11}{7}

Learn more:

You can learn more about the solution of an equation in brainly.com/question/11306893

#LearnwithBrainly

3 0
2 years ago
The Student Council is making 6 pennants to promote school spirit. Each pennant is in the shape of a right triangle 20 cm high a
hodyreva [135]
7200
You have to multiply 20×60 to get 1200 which is the area of one pennant multiply that by six and you get 7200 which is the area of six pennant
3 0
3 years ago
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Vadim26 [7]

Answer:

We conclude that deluxe tire averages less than 50,000 miles before it needs to be replaced which means that the claim is not supported.

Step-by-step explanation:

We are given that a particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8000.

From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9800 miles.

<u><em>Let </em></u>\mu<u><em> = average miles for deluxe tires</em></u>

So, Null Hypothesis, H_0 : \mu \geq 50,000 miles   {means that deluxe tire averages at least 50,000 miles before it needs to be replaced}

Alternate Hypothesis, H_A : \mu < 50,000 miles    {means that deluxe tire averages less than 50,000 miles before it needs to be replaced}

The test statistics that will be used here is <u>One-sample z test statistics</u> as we know about population standard deviation;

                                  T.S.  = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean lifespan = 46,500 miles

            \sigma = population standard deviation = 8000 miles

            n = sample of tires = 28

So, <u><em>test statistics</em></u>  =  \frac{46,500-50,000}{\frac{8000}{\sqrt{28} } }

                               =  -2.315

The value of the test statistics is -2.315.

Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is less than the critical value of z as -2.315 < -1.6449, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that deluxe tire averages less than 50,000 miles before it needs to be replaced which means that the claim is not supported.

4 0
3 years ago
The square root of the quotient of a number n and 3 is equal to the square root of 4 less than the number. Which of the followin
Lisa [10]

Answer:

6

Step-by-step explanation: You can set up the equation: \sqrt{\frac{n}{3} } = \sqrt{n-4} You square both sides to cancel out the squares which leaves you with \frac{n}{3} = n - 4. Then you just solve as normal which ends you up with an answer of 6. You can check this by plugging 6 back into the equation and see that you end up with \sqrt{2} on both sides.

4 0
2 years ago
Twice the sum of a number p and 3.
Korvikt [17]

Answer:

7

Step-by-step explanation:

no explanation needed the answer is in the question

4 0
3 years ago
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