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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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Rumor of the cancellation of final exams began to spread one day on a college campus with a population of 80 thousand students.S
Nikolay [14]

Answer:

P(t) is directly proportional to N and N'.

Where P is the increase in numbers of students who have heard the exam's cancellation rumor at any time t;

N is numbers of students who have heard the rumor of the exam's cancellation;

N' is numbers of students who have not heard the rumor of the exam's cancellation;

N' = (80 - N). Since the total number of students is 80;

K is the constant of the proportionality.

K is calculated to be 9/700

Therefore,

P(t) = KNN'

P(t) = (9/700) x N x (80 - N)

Step-by-step explanation:

The total number of students is 80. For N, N' = 80 - N.

Initially, 1 thousand people heard the rumor.

Within/after a day, the increased in number of students who have heard the rumor is P = 10 - 1 = 9

P = 9 = K x 10x (80-10)

9 = K x 10 x 70 = 700K.

Divide both sides by 700,

9/700 = (700/700)K

K = 9/700

Subtitle K into the equation P(t) = KNN'

P(t) = (9/700) x N x N'

P(t) = (9/700) x N x (80 - N), where N' = 80 - N

4 0
2 years ago
What is the value of x if g^x-1-2= 25?
SVETLANKA909090 [29]

Answer:

Third option: x=\frac{5}{2}

Step-by-step explanation:

<h3> The correct exercise is attached.</h3>

The equation given is:

9^{x-1}-2=25

 The steps to find the value of "x" are shown below:

1. Add 2 to both sides of the equation:

9^{x-1}-2+2=25+2\\\\9^{x-1}=27

2. Descompose 9 and 27 into their prime factors:

9=3*3=3^2\\27=3*3*3=3^3

3. Substitute them into the equation:

3^{2(x-1)}=3^3

4. Knowing that If a^n=b^m, then n=m, we get:

2(x-1)=3

5. Apply Distributive property:

2x-2=3

6. Add 2 to both sides:

2x-2+2=3+2\\\\2x=5

7. Divide both sides of the equation by 2:

\frac{2x}{2}=\frac{5}{2}\\\\x=\frac{5}{2}

3 0
2 years ago
Read 2 more answers
A rectangle’s length is 2 units more than twice its width. Its area is 40 square units. The equation w(2w + 2) = 40 can be used
barxatty [35]
I hope this helps you

5 0
2 years ago
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A tractor costs $12,250 and depreciates in value by 6% per year. How much will the tractor be worth in 6 years?
GaryK [48]

Answer:

Step-by-step explanation:

8 0
2 years ago
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The ideal width of a safety belt strap for a certain automobile is 5 cm. An actual width can vary by at most 0.35 cm. Write and
notsponge [240]

Answer:

4.65\leq x\leq 5.35

Step-by-step explanation:

Let the actual width of belt be x

we are given that the ideal width of safety belt strap is 5 cm

So, Difference between actual and ideal = (x-5)cm

We are also given that An actual width can vary by at most 0.35 cm.

So, The difference between actual and ideal width should be less than or equal to 0.35 cm

So, |x-5|\leq 0.35

We know

x-5\leq 0.35 and x-5\geq -0.35

x\leq 0.35+5 and x\geq -0.35+5

x\leq 5.35 and x\geq 4.65

So, 4.65\leq x\leq 5.35

Hence the range of acceptable widths is 4.65\leq x\leq 5.35

8 0
2 years ago
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