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Masja [62]
3 years ago
12

Which of the following are polynomial functions?

Mathematics
2 answers:
Vinil7 [7]3 years ago
4 0

A polynomial function is a function involving only non-negative (positive and 0) integer powers of 'x', i.e. all terms with ' 'x' have a non-negative integer power, such as a quadratic x^{2} x^{3} and so on.

Option E is the answer.

Rest all are wrong answers. they do not have positive integers.                      

Leto [7]3 years ago
4 0

Answer: Options C, D and E

Step-by-step explanation:

A polinomial function that only involves non-negative integer powers of the variable. so they have the form

a*x^n + .... g*x^1 * h

where a, g, h are constants.

In the first option, you can see that you have a 2/x term, so this has a negative power of x, then this is not a plynomial function.

The second option has a square root, that is defined as a x^(1/2) which is not an integer power, so this option can be discarded.

The other 3 options are polynomial functions.

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Which system of equations below has infinitely many solutions? y = –3x 4 and y = –3x – 4 y = –3x 4 and 3y = –9x 12 y = –3x 4 and
Flura [38]

the equations y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions. option B is correct.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Condition for the parallel lines.

L1,  ax + bx + c = 0

L2, dx + ey + f = 0

If \rm \dfrac{a}{d} = \dfrac{b}{e} = \dfrac{c}{f} then lines have infinitely many solutions.

<h3>Which system of equations below has infinitely many solutions?</h3>

y = –3x + 4 and 3y = –9x + 12

On comparing we have

a = -3 , b = 1, and c = 4

d = -9 , e = 3, and f = 12

Then their ratio will be

\rm \dfrac{1}{3} = \dfrac{-3}{-9} = \dfrac{4}{12}\\\\\rm \dfrac{1}{3} = \dfrac{1}{3} = \dfrac{1}{3}

Hence  y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions.

Thus the option B is correct.

More about the linear system link is given below.

brainly.com/question/20379472

7 0
2 years ago
Write a real-world problem that involves dividing a decimal by a whole number. Solve.
marysya [2.9K]
In 15 hours bob makes 7.5 boxes.  how many boxes can he make in one hour?

so 15 hours=7.5 boxes
divide both sides by 15 to get hours
1 hour=7.5/15
answer is 1 hour=0.5 boxes
7 0
3 years ago
Jason is training to run a marathon. His goal for this week is to run a minimum of 42 miles. So far this week, he has already ru
ivanzaharov [21]

Answer:

6m + 18 ≥ 42

Step-by-step explanation:

6m + 18 ≥ 42

------

3 0
3 years ago
fill in the blank on order pairs? the ___________number in an order pair is the y-coordinate and corresponds to a number on the
belka [17]

The second number in an ordered pair is the y-coordinate and corresponds to a number on the y-axis.
4 0
3 years ago
Read 2 more answers
A) Model this situation with a linear system:
sergejj [24]

Answer:

The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Step-by-step explanation:

Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:

286 = 6 days and 320 km

320/6 = 53,333 km

286/6 = $ 47,666

Thus, the value of 1 day and 53,333 km is $ 47,666.

605 = 10 days and 900 km

900/10 = 90 km

605/10 = $ 60.5

Thus, the value of 1 day and 90 km is $ 60.5.

90 - 53,333 = 36,666

60.5 - 47.666 = 12.833

12,833 / 36,666 = value per kilometer traveled

0.35 = value per kilometer traveled

(286 - (0.35 x 320)) / 6 = X

(286/112) / 6 = X

174/6 = X

29 = X

(605 - (0.35 x 900)) / 10 = X

(605 - 315) / 10 = X

290/10 = X

29 = X

Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

3 0
3 years ago
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