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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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Teboho has to sell a certain number of cars each month. For every car he sells over and above this number he earns 17% commissio
Nastasia [14]

The commission earned are R41123.17, R47931.67 and R15024.09

<h3>The prices of the cars before VAT was added</h3>

The VAT included prices are given as:

R271 800,00; R316 800,00 and R99 300,00.

The VAT rate is 12.36%.

So, the price before VAT is calculated as:

VAT included = Price without VAT * (1 + 12.36%)

This gives

VAT included = Price without VAT * 1.1236

So, we have:

Price without VAT = VAT included/1.1236

For the three cars, we have:

Price without VAT = R271 800.00/1.1236 = R241901

Price without VAT = R316800.00 /1.1236 = R281951

Price without VAT = R99300.00/1.1236 = R88377

Hence, the prices of the cars before VAT was added are R241901, R281951 and R88377

<h3>The commission he earned on the cars.​</h3>

This is calculated as:

Commission = Price * 17%

So, we have:

Commission = R241901 * 17% = R41123.17

Commission = R281951 * 17% = R47931.67

Commission = R88377 * 17% = R15024.09

Hence, the commission earned are R41123.17, R47931.67 and R15024.09

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3 0
1 year ago
A hole is poked in a balloon so that every minute the balloon loses 3/10ft 3 of air. What is the total change in the number of c
GaryK [48]
5/9 minutes

amount lost=times times amout lost per unit of time
amount lost=5/9 times 3/10
amount lost=15/90
amount lost=5/30
amount lost=1/6

answer is 1/6 ft³ of air
6 0
3 years ago
Jeremiah received $65 for his birthday and used part of it to buy 3 video games. The games cost the same amount, and he had $14
hram777 [196]

Jeremiah got $65 on birthday and spent some money on 3 video games and was left with $14.

He purchased 3 video games.

Let the cost one one video game be v.

The cost of each video game is same

So the cost of 3 video games is 3v.

Also he is left with $14 after paying for three games.

Hence

3v + 14 = 65

Subtracting 14 from both sides

3v + 14 -14 = 65-14

3v = 51

Dividing by 3 on both sides

v = 51/3

v = 17

Hence the cost of each video game is $17

5 0
3 years ago
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Graph the linear equation -2x-3y=-7
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Answer:

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3 years ago
Best Buy is displaying 15 laptops for a big store sale. The laptops include 6 identical​ Dells, 4 identical​ Chromebooks, and 5
Alchen [17]

Answer:

630,630 different arrangements are possible for the given laptops.

Step-by-step explanation:

Total number of laptops = n = 15

Number of identical Dell laptops  = 6

Number of identical Chromebooks  = 4

Number of identical Mackbooks = 5

We have to find in how many ways can the laptops be arranged. Number of arrangement of objects is calculated using Permutations as the order of objects matter during the arrangement. The formula to calculate the number of possible arrangements when there are similar objects is given as:

\frac{n!}{a!b!c!...}

Here n is the total number of objects and a,b, and c represent the number of identical objects. Using the given values we get:

\frac{15!}{6!4!5!} = 630630

This means 630,630 different arrangements are possible for the given laptops.

4 0
3 years ago
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