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3 years ago

Write this polynomial in standard form :8x^2 - 4x^3 + 12 - 5x

Mathematics

1 answer:

rodikova [14]3 years ago

3 0

Hello from MrBillDoesMath

Answer: -4x^3 + 8x^2 -5x + 12

Discussion:

Standard for for a polynomial meas tne power of x descend so standard fro of

8x^2 - 4x^3 +12 -5x is

-4x^3 + 8x^2 -5x + 12

Note: the problem statements shows this ":8x^2". I didn't know how to deal with the ":" character so simply ignored it.

Thank you,

Mr. B

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Match each quadratic equation with its solution set.

Marianna [84]

Answer:

( 8 , - 8) => x² - 55 = 9

( 4 , - 4) => 2x² - 32 = 0

(5 , - 5) => 4x² - 100 = 0

(11 , - 11) => x² - 140 = -19

( 3, - 3) => 2x² - 18 = 0

Step-by-step explanation:

$2x^2 - 32 = 0\\\\2(x^2 - 16 ) = 0 \\\\x^2 - 16 = 0 \\\\x^2 = 16 \\\\x = \sqrt {16 } = \pm 4$

x = ( 4 , - 4)

$4x^2 - 100 = 0 \\\\4(x^2 - 25 ) = 0\\\\x^2 - 25 = 0 \\\\x^2 = 25 \\\\x= \sqrt{25} = \pm 5$

x = ( 5 , - 5 )

$x^2 - 55 = 9 \\\\x^2 = 9 +55\\\\x^2 = 64\\\\x = \sqrt{64} = \pm 8$

x= ( 8 , - 8)

$x^2 - 140 = - 19\\\\x^2 = -19 + 140 \\\\x^2 = 121 \\\\x= \sqrt{121} = \pm 11$

x = ( 11 , -11)

$2x^2 - 18 = 0\\\\2(x^2 - 9) = 0\\\\x^2- 9 = 0 \\\\x^2 = 9 \\\\x = \sqrt9 = \pm 3$

x = ( 3 , - 3)

8 0

3 years ago

Read 2 more answers

Pls help I’m really confused How are vertical

skad [1K]

Vertical angles:
Vertical Angles are the angles opposite each other when two lines cross.
https://www.mathsisfun.com/geometry/vertical-angles.html
The link has a visual of vertical angles.

Adjacent Angles:
Adjacent angles are two angles that share a common vertex point and a common side. They basically sit right next to each other.
https://www.mathsisfun.com/geometry/adjacent-angles.html
The link has a visual of adjacent angles.

Complementary Angles:
Two angles whose measures add to 90º.
Basically, together they make a right angle.

Supplementary Angles:
Two angles whose measures add to 180º.
Basically, together they form a straight line.

7 0

2 years ago

Flip a coin 10 times and record the observed number of heads and tails. For example, with 10 flips one might get 6 heads and 4 t

zepelin [54]

Answer:

The greater the sample size the better is the estimation. A large sample leads to a more accurate result.

Step-by-step explanation:

Consider the table representing the number of heads and tails for all the number of tosses:

Number of tosses n (HEADS) n (TAILS) Ratio

10 3 7 3 : 7

30 14 16 7 : 8

100 60 40 3 : 2

Compute probability of heads for the tosses as follows:

n = 10 tosses

$P(\text{HEADS})=\frac{3}{10}=0.30$

The probability of heads in case of 10 tosses of a coin is -0.20 away from 50/50.

n = 30 tosses

$P(\text{HEADS})=\frac{14}{30}=0.467$

The probability of heads in case of 30 tosses of a coin is -0.033 away from 50/50.

n = 100 tosses

$P(\text{HEADS})=\frac{60}{100}=0.60$

The probability of heads in case of 100 tosses of a coin is 0.10 away from 50/50.

As it can be seen from the above explanation, that as the sample size is increasing the distance between the expected and observed proportion is decreasing.

This happens because, the greater the sample size the better is the estimation. A large sample leads to a more accurate result.

5 0

3 years ago

The table is shows the fraction of the votes that each candidate received. If 230 students voted, how many students voted for ea

barxatty [35]

3/5 * 230 = 138 votes for Nyemi

3/10 * 230 = 69 votes for Luke

1/10 * 230 = 23 votes for Natalie

***************** DOUBLE-CHECK ****************

138 + 69 + 23 = 230 Correct!!

6 0

3 years ago