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Darya [45]
4 years ago
9

Write a polynomial FOR A third-degree polynomial with leading coefficient -4

Mathematics
1 answer:
umka2103 [35]4 years ago
4 0

Answer:

-4x^3 + 2x^2-3

Step-by-step explanation:

Degree is the highest exponent on the variable in a polynomial.

A leading coefficient is the first terms coefficient when the polynomial is written in standard form.

To write this polynomial, write -4x^3 as your first term. Its leading coefficient is -4 and it has a degree of 3. Then add whatever terms after it being sure to not add any more with exponent 3 or higher.

Example: -4x^3 + 2x^2-3

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Nate’s work to solve a math problem is shown below.
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Answer:

Answer (C) ⇒ He replaced the wrong term with its reciprocal in step 2

Answer (A) ⇒ How many 3/8 's in 48

Step-by-step explanation:

∵ The distance = 25 miles

∵ The time = 2/3 hour

∵ Average speed = distance ÷ time

∴ Average speed = 25 ÷ 2/3 ⇒ step 1 (he is √)

                              = 25 × 3/2 ⇒ step 2 (his 1st error 1/25 × 2/3)

                              = 75/2 miles/h

∵ How many 3/8 's are in 48 means:

  48 ÷ 3/8 = 48 × 8/3 = 128

∴ Answer (A) is best modeled with a division expression

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4 years ago
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What is the answer to the question and thank you if you answer it
Temka [501]

Answer:

V=2543.4 cm^3

Step-by-step explanation:

V=pi*r^2*h

V=pi*9^2*10

V=pi*81*10

V=810pi

V=810*3.14

V=2543.4

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3 years ago
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Which should Aaron use to convert a fraction to a decimal?
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Oliva is a stockbrocker. She makes 4% of her sales in commission.Last week,she sold $7,200 worth of stocks.
belka [17]

A) Commission made last week is $ 288

B) Commissions earned in a year,treating a year as having exactly 52 weeks is $ 14976

<em><u>Solution:</u></em>

From given,

Commission rate = 4 %

Last week,she sold $7,200 worth of stocks

<em><u>A. ) How much commission did she make last week?</u></em>

Therefore,

Commission\ amount = 4 \% of\ 7200\\\\Commission\ amount = 4 \% \times 7200\\\\Commission\ amount = \frac{4}{100} \times 7200\\\\Commission\ amount = 4 \times 72\\\\Commission\ amount = 288

Thus commission made last week is $ 288

B)

Given that,

If she were to average that same commission each week

To find the commissions earned in a year, treating a year as having exactly 52 weeks

Therefore,

commissions\ earned\ in\ a\ year = 288 \times 52\\\\commissions\ earned\ in\ a\ year = 14976

Thus commissions earned in a year,treating a year as having exactly 52 weeks is $ 14976

3 0
3 years ago
11. Which matrix represents the system of equations below?
dimulka [17.4K]

Answer:

\left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]

Step-by-step explanation:

The system of equations is;

-12x-13y +13z =15

7x-10y-3z = 11

7x+14y +5z = -5

The coefficient matrix is \left[\begin{array}{ccc}-12&-13&13\\7&-10&-3\\7&14&5\end{array}\right]

The constant matrix is \left[\begin{array}{c}15\\11\\-5\end{array}\right]

The augmented matrix is \left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]

4 0
4 years ago
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