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Alenkasestr [34]
3 years ago
6

Which polynomials are in standard form?

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
3 0

Answer:

3z - 1

-5p^{5} + 2p^{2} -3p + 1

Step-by-step explanation:

In a standard form of a polynomial, the value in the power of the variable reduces from left to right.

Therefore, 3z - 1 polynomial is in standard form since the z term comes to the left of the constant term.

Again, -5p^{5} + 2p^{2} -3p + 1 polynomial is also in standard form since the power of p reduces from left to right. (Answer)

Sav [38]3 years ago
3 0

Answer:

A and C

Step-by-step explanation:

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A _______ divides an angle into two congruent angles
aliina [53]
Angle bisector would be the answer
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Which polynomial function has a leading coefficient of 1 and roots (7 i) and (5 – i) with multiplicity 1? f(x) = (x 7)(x – i)(x
Nuetrik [128]

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

f(x) = (x - (7 + i)) (x - (5 - i))

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

f(x) = (x^2 - (7^2 - i^2)) (x^2 - (5^2 - i^2)) = (x^2 - 8) (x^2 - 6) = x^4 - 14x^2 + 48

5 0
2 years ago
2.1 liters of coffee were equally distributed to 30 cups how many millimeters of coffee were in each cup
sattari [20]

Answer: 70 ml of coffee in each cup


Step-by-step explanation:

1 liter = 1000 ml

Amount of coffee given = <em>2.1 liters</em>

\Rightarrow <em>2.1 liters =  2.1 * 1000 = 2100 ml</em>

Total number of cups = 30

\therefore Amount of coffee in each cup = \frac{Total\ amount \ of \ coffee}{number\ of  \ cups} = \frac{2100}{30} =70

<em>∵ Amount of coffee in each cup </em>= <u>70 milliliters</u>

4 0
3 years ago
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Two numbers are between 10 and 20. Their greatest common factor is 3. Which two numbers could they be?
alina1380 [7]

Answer:

12 and 15     or

12 and 18    or

15 or 18

Step-by-step explanation:

The two numbers have to both be divisible by 3, since their greatest common factor is 3.  This only leaves..

12, 15, or 18     (no other numbers between 10 and 20 are divisible by 3)

The factors of 12 are: 2, 3, 4, 6, and 12

The factors of 15 are: 3, 5, and 15

The factors of 18 are: 2, 3, 6, 9, and 18

All three numbers have 3 as a greatest common factor, so we have 3 pairs of numbers they could be...

12 and 15     or

12 and 18    or

15 or 18

4 0
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Your class raises money for a trip to the water park. You make $74 from fruit bar sales and $250 from gift card sales. How much
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Answer:

$324

Step-by-step explanation:

250+74=324

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