PLEASE HELP PLEASE PLEASE

Part A- Create a fourth degree polynomial in standard form. How do you know it is in standard form?

Alexeev081 [22]

Answer:

(a) $2x^4-9x^3+x^2+x-5$

Step-by-step explanation:

(a)The degree of a polynomial is the highest power of the unknown variable in the polynomial.

A polynomial is said to be in standard form when it is arranged in descending order/powers of x.

An example of a fourth degree polynomial is: $2x^4-9x^3+x^2+x-5$

We know the polynomial above is in standard form because it is arranged in such a way that the powers of x keeps decreasing.

(b)Polynomials are closed with respect to addition and subtraction. This is as a result of the fact that the powers do not change. Only the coefficients

change. This is illustrated by the two examples below:

$(2x^5-3x^2+x)+(3x^5-5x^2)\\=2x^5-3x^2+x+3x^5-5x^2\\=5x^5-8x^2+x\\$Similarly\\(2x^5-3x^2+x)-(3x^5-5x^2)\\=2x^5-3x^2+x-3x^5+5x^2\\=-x^5+2x^2+x$

The degrees do not change in the above operations. Only the number beside each variable changes. Therefore, the addition and subtraction of polynomials is closed.

7 0

3 years ago

Khan khan khan khan

Ber [7]

Answer:

11

Step-by-step explanation:

it says motor cycles combined with garbage so add both of them then subtract that from the bull dosers

motor =18

garbage=4

18+4=22

bulldosers=11

22-11= 11 more

5 0

3 years ago

Read 2 more answers

The Cooking Club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating two pies

monitta

Answer: 7 pies

Step-by-step explanation: Since the club split the pies into 5 pieces and then had a total of 45 slices, you would first divide 45 by 5 and you would get 9. The question stated that the cafeteria gave 2 pies and they are asking how much the club made. So you would subtract 9 by 2 to get 7. This concludes to that the club made 7 pies in total. Hope that helps!

5 0

3 years ago

Logx(8x-3)-logx 4=2<br> please help ill give you everything i have !!

Gelneren [198K]

Logx (8x-3) - logx 4 = 2
logx [(8x-3)/4] = 2
x^2=(8x-3)/4
4x^2=4(8x-3)/4
4x^2=8x-3
4x^2-8x+3=8x-3-8x+3
4x^2-8x+3=0
4(4x^2-8x+3=0)
(4^2)(x^2)-8(4x)+12=0
(4x)^2-8(4x)+12=0
(4x-2)(4x-6)=0
2(4x/2-2/2)2(4x/2-6/2)=0
4(2x-1)(2x-3)=0
4(2x-1)(2x-3)/4=0/4
(2x-1)(2x-3)=0
Two options:
1) 2x-1=0
2x-1+1=0+1
2x=1
2x/2=1/2
x=1/2

2) 2x-3=0
2x-3+3=0+3
2x=3
2x/2=3/2
x=3/2

Answer: Two solutions: x=1/2 and x=3/2

6 0

3 years ago

Using the given information, find the following parameters.

Oksi-84 [34.3K]

Answer:

1. Mode = 2.60

2. Mean = 3.71

3. Median = 3.12

Step-by-step explanation:

1.

The mode, in statistics, is the number that occurs the "most". If there is no number occurring more than others, there is no mode. Also, there can be more than 1 mode as well.

We need to arrange the number from least to greatest for our ease. Let's do this first.

2.16, 2.19, 2.53, 2.60, 2.60, 2.94, 3.30, 3.67, 4.65, 5.40, 5.76, 6.71

Is there any number occurring more than once?

Yes, that's 2.60, so that's the mode.

Mode = 2.60

2.

The mean is the average. We take the sum of all the numbers and divide by the number of numbers [there are 12 numbers].

We have to round the answer to nearest hundredth (2 decimal places).

Let's calculate the sum.

SUM(2.16, 2.19, 2.53, 2.60, 2.60, 2.94, 3.30, 3.67, 4.65, 5.40, 5.76, 6.71) = 44.51

Now, the mean:

Mean = 44.51/12 = 3.71

3.

Median is the "middle" number when the numbers are arranged from least to greatest. If there are a set of even numbers, n = even, then we divide n by 2 and take the average of that number and next number.

Here n = 12

so 12/2 = 6

So we take average of 6th and 7th number to get the median.

First, let's find 6th and 7th number from the list.

6th number = 2.94

7th number = 3.30

We take average of that to find Median.

Median = (2.94+3.30)/2 = 3.12

6 0

3 years ago