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pychu [463]
3 years ago
8

Jullian fully simplifies this polynomial and then writes it in standard form. 4x^2y^2-2y^4-8xy^3+9x^3y+6y^4-2xy^3-3x^4+x^2y^2 if

jullian wrote the last term as -3x^4, which must be the first term of his polynomial in standard form?
A. 4y^4
B. 6y^4
C. -2xy^3
D. -10xy^3
Mathematics
1 answer:
eimsori [14]3 years ago
7 0

Answer:

-10xy^{3}

Step-by-step explanation:

He added -3x^4, so you need to include it, the new expression now being

4x^2y^2-2y^4-8xy^3+9x^3y+6y^4-2xy^3-3x^4+x^2y^2-3x^4

You need to simplify the polynomial first (combine all like terms) and it should become

5x^2y^2+4y^4-10xy^3+9x^3y-6x^4

The only option that actually exists are A and D, the answer would be D though because the letters that come first in the alphabet have more priority

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Subtract.<br>(4x^2 + 8x - 2) - (2x^2 - 4x + 3)<br>Enter your answer, in standard form.​
vovikov84 [41]

Answer:

\large\boxed{(4x^2 + 8x - 2) - (2x^2 - 4x + 3)=2x^2+12x-5}

Step-by-step explanation:

(4x^2 + 8x - 2) - (2x^2 - 4x + 3)\\\\=4x^2 + 8x - 2 -2x^2 -(- 4x)- 3\\\\=4x^2+8x-2-2x^2+4x-3\qquad\text{combine like terms}\\\\=(4x^2-2x^2)+(8x+4x)+(-2-3)\\\\=2x^2+12x-5

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3 years ago
All front and backyards in Alan's neighborhood are equal in size. Alan can mow his front and back lawns combined in about 45 min
Musya8 [376]
45 minutes plus 45/2 minutes because of the fact that all the lawns are equal in size and he is mowing 1 1/2 full lawns with a full lawn taking 45 minutes
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What is the volume of a triangular prism that has a height of 5 feet and a base that with the following ?
aleksklad [387]

Answer:

C

Step-by-step explanation:

Base area = (base x height of the base)/2 = (13 x 6)/2 = 39 ft^2

V = base area x height = 39 x 5 = 195 ft^3

7 0
3 years ago
Jeremy can mow 4 lawns every 2 hours. At this rate, How many lawns can he mow in 7 hours.
Leviafan [203]

Answer:

14

Step-by-step explanation:

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5 0
3 years ago
Suppose x has a distribution with μ = 10 and σ = 9. (a) If a random sample of size n = 43 is drawn, find μx, σ x and P(10 ≤ x ≤
JulsSmile [24]

Answer:

P(10 ≤ x ≤ 12) = 0.4274

Step-by-step explanation:

Population mean = u = 10

Population Standard Deviation = \sigma = 9

Sample size = n = 43

Sample mean(\mu_{x}) is equal to the population mean. So,

Sample mean = \mu_{x} = 10

Sample standard deviation(\sigma_{x}) is equal to population standard deviation divided by square root of sample size. So,

Sample standard deviation = \sigma_{x} = \frac{9}{\sqrt{43}}=1.372

We have to find the probability that for a random sample of n = 43, the value lies between 10 and 12 i.e. P(10 ≤ x ≤ 12)

P(10 ≤ x ≤ 12) = P(x ≤ 12) - P( x ≤ 10)

We can find P(x ≤ 12 ) and P(x ≤ 10) by converting these values to z scores.

The formula for z score is:

z=\frac{x-\mu_{x}}{\sigma_{x}}

For x =12, we get:

z=\frac{12-10}{1.3725}=1.457

For x =10, we get:

z=\frac{10-10}{1.3725}=0

So,

P(x ≤ 12) - P( x ≤ 10) = P(z ≤ 1.457) - P(z ≤ 0)

From the z table,

P(z ≤ 1.457) = 0.9274

P(z ≤ 0) = 0.5

So,

P(x ≤ 12) - P( x ≤ 10) = P(z ≤ 1.458) - P(z ≤ 0) = 0.9274 - 0.5 = 0.4274

So,

P(10 ≤ x ≤ 12) = P(x ≤ 12) - P( x ≤ 10) = 0.4274

Therefore,

The probability that for a random sample of size 43, the mean lies between 10 and 12 is 0.4274.

8 0
3 years ago
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