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Nookie1986 [14]
2 years ago
10

Marcus states that the polynomial expression 3x3 – 4x2y + y3 + 2 is in standard form. Ariel states that it should be y3 – 4x2y +

3x3 +2. Explain which student is correct and why.
Mathematics
2 answers:
Yakvenalex [24]2 years ago
8 0

Answer: They are both correct because Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.

Step-by-step explanation:

Veronika [31]2 years ago
8 0

Answer:

They are both right, since Marcus has thex variable exponents in descending order from the highest to the lowest degree. In descending order, Ariel has the exponents on the y vector from the highest to the lowest degree.

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John Smith made a one year investment that generated a nominal return of 6% or $3000. The real return was $2000. What was the or
nata0808 [166]

The nominal value - without discounting the inflation rate - of income was $ 3000.

If the interest rate was 6%, a rule of three is enough to find the value of the original investment.

3000 - 6%

x - 100%

x = 50,000

The value of the investment was $ 50,000

In this case, the inflation rate also requires a simple calculation.

Inflation corroded $ 1000 dollars of income of $ 3000

Therefore the inflation rate will be 1000/3000 = 33.3%

3 0
2 years ago
Please help and explain
Tasya [4]
It’s an undefined slope.
4 0
2 years ago
A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs th
Delvig [45]

Answer: Rectangular container is preferred to minimize the costs and  there are 142 rectangular container is needed to pack 6400 candles.

Explanation:

Since we have given that

Number of candles in a rectangular container = 45

Number of candles in a cylindrical container = 41

Cost of each rectangular container = $15

Cost of each cylinder container = $16

That means ,

In case of rectangular container,

Cost of 45 candles = $15

Cost of 1 candle is given by

\frac{15}{45}=\frac{1}{3}=\$0.33

Similarly,

In case of cylindrical container,

Cost of 41 candles = $16

Cost of 1 candle is given by

\frac{16}{41}=\$0.39

So, if the company needs to package 6,400 candles , it should use <u>rectangular containers </u>to minimize costs.

Number of candle he need to pack = 6400

Number of rectangular container for 6400 candles is given by

\frac{6400}{45}=142.2=142\ approximately.

Hence, there are 142 rectangular container is needed to pack 6400 candles.


4 0
2 years ago
Read 2 more answers
Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
serg [7]

Answer:

(4* 1) + (9 * 1/10) + (2 * 1/1000)

Step-by-step explanation:

Given the figure : 4.902

Writw the figure above in expanded form:

4.902

Using the place value indicators :

Unit___tenth___hundredth___thousandth

4______9_______0___________2

Unit:

4 × 1

After the decimal point :

Tenth :

9 × 1/10 =

Hundredth :

0 * 1/ 100

Thousandth:

2 * 1/1000

Hence :

(4* 1) + (9 * 1/10) + 0 + (2 * 1/1000)

4 0
2 years ago
Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below. 4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x
OLga [1]

Solving an equation means finding the value of x which will make the equation true.

We need to undo whatever is done to x to get it by itself.

4(x-1)-x = 3(x + 5)-11\\Distributing \; 4 \; and \; 3 \; in \; right \; and \; left \; side \; of \; the \; equation\\\\ 4x-4-x=3x+15-11\\Combine \; like \; terms\\\\3x-4=3x+4\\Subtract \; 3x \; on \; both \; sides\\\\3x-3x-4=3x-3x+4\\ Combine \; like \; terms\\\\-4=4

Conclusion:

Since we end up with an equation which is not TRUE, there is NO solution for this equation. If we graph both the equations, they will end up as a parallel lines which will never meet.

4 0
2 years ago
Read 2 more answers
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