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2 years ago

(9x^2+5x^2+11x)+(-2x^3+9x-8x^2)

Mathematics

1 answer:

lidiya [134]2 years ago

6 0

Answer:

First step is to remove those unnecessary brackets :

$\longrightarrow\tt \: 9 {x}^{3} + 5 {x}^{2} + 11x - 2 {x}^{3} + 9x - 8 {x}^{2}$

Combine the like terms :

$\longrightarrow \tt \: 9 {x}^{3} - 2 {x}^{3} + 5 {x}^{2} - 8 {x}^{2} + 11x + 9x$

$\longrightarrow \boxed{\tt \: 7 {x}^{3} - 3 {x}^{2} + 20x}$

Our final answer is 7x^3 - 3x^2 + 20x .

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An average person in the country needs 2,450 kilocalories(kcal) / day of food to meet their full nutritional needs. The average

OlgaM077 [116]

Answer:

The answer to your question is 0.057 ha

Step-by-step explanation:

Data

Kilocalories needed for a person per day = 2450

Kilocalories produced per hectare = 15737000

Process

1.- Calculate the number of kcal needed per a person for a year

2450 kcal ----------------- 1 day

x ----------------- 365 days

x = (365 x 2450) / 1

x = 894250 kcal

2.- Calculate the amount of land needed

15737000 kcal ------------- 1 ha

894250 kcal ------------ x

x = (894250 x 1) / 15737000

x = 0.057 ha

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3 years ago

Simplify an expression

fiasKO [112]

Is there a question that goes with this command?

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3 years ago

3. Consider the sequence,-8, -5, -2, 1, ...

Naddik [55]

Answer:

a) $a_n=3\,n-11$

b) $a_{20}=49$

c) term number 17 is the one that gives a value of 40

Step-by-step explanation:

The sequence seems to be arithmetic, and with common difference d = 3.

Notice that when you add 3 units to the first term (-80, you get :

-8 + 3 = -5

and then -5 + 3 = -2 which is the third term.

Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:

$a_n=a_1+(n-1)\,d$

That in our case would give:

$a_n=-8+(n-1)\,(3)\\a_n=-8+3\,n-3\\a_n=3n-11$

Therefore, the term number 20 can be calculated from it:

$a_{20}=3\,(20)-11=60-11=49$

c) in order to find which term renders 20, we use the general form we found in step a):

$a_n=3\,n-11\\40=3\,n-11\\40+11=3\,n\\51=3\,n\\n=\frac{51}{3} =17$

so term number 17 is the one that renders a value of 40

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3 years ago

Nam owns a used car lot. He checked the odometers of the cars and recorded how far they had driven. He then created both a histo

Scilla [17]

Answer:

(a) The correct option is (A).

(b) The correct option is (B).

Step-by-step explanation:

Nam collected the data for the distance traveled by all the cars in his car lot.

(a)

A histogram is a bar graph representing the distribution of a random variable. The height of the bars of the histogram represents the frequency for a specific interval.

If Nam wants to know how many vehicles had driven more than 200,000 km, the histogram would be the best display of this data. This is because the histogram shows the frequency for various interval values.

The correct option is (A).

(b)

A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

Minimum (shown at the bottom of the chart)
First Quartile (shown by the bottom line of the box)
Median (or the second quartile) (shown as a line in the center of the box)
Third Quartile (shown by the top line of the box)
Maximum (shown at the top of the chart).

So, if Nam wants to find whether the median distance was approximately 140,000 km, a box plot would be a better choice. This is because the box plot represents the median of the data by a line within the box.

The correct option is (B).

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2 years ago

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3 years ago