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3 years ago

Given the following functions f(x) and g(x), solve (f ⋅ g)(3) and select the correct answer below:

1 answer:

6 0

I believe you may have the order incorrect. If we were looking at g(f(x)) the answer would be 47. We would get this by sticking the 3 in for x in f(x) and solving, which would give us 48. We would then stick that answer in for x in the g(x), giving us 47.

In its current order the answer would be 28.

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Wen is factoring the polynomial, which has four terms. 6x3 – 12x2 7x – 14 6x2 (x – 2) 7(x – 2) Which is the completely factored

-Dominant- [34]

The completely factored form of the Wen's polynomial, which has the four terms initial, is,

$(6x^2+7)(x-2)$

<h3>What is the factor of polynomial?</h3>

The factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

Wen is factoring the polynomial, which has four terms.

$6x^3 - 12x^2+ 7x - 14$ '

Take out the greatest common factor from the equation and make separate groups as,

$6x^2(x - 2)+ 7(x - 2)\\(x-2)(6x^2+7)$

Rearrange the above equation as,

$(6x^2+7)(x-2)$

Thus, the completely factored form of the Wen's polynomial, which has the four terms initial, is,

$(6x^2+7)(x-2)$

Learn more about factor of polynomial here;

brainly.com/question/24380382

7 0

2 years ago

Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8

nalin [4]

Answer:

No, he is going to have $496, which is $4 dollars less than what he wanted.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Please!!! Help!!! Brainliest of Right! it goes as 50 point in the end but i used 100 point if you help me i will help you!!

vekshin1

Answer:

2. 3.913 kg (3 dp)

3. light cream

4. 240 CoffeeStops

5. 7 CoffeeStops per square mile

6. 2,861 cups of coffee each day

Step-by-step explanation:

Given:

Skim milk density at 20 °C = 1.033 kg/l
Light cream density at 20 °C = 1.012 kg/l
1 liter = 0.264 gallons

Question 2

$\begin{aligned}\textsf{1 gallon} & = \sf \dfrac{1}{0.264}\:liters\\\\\implies \textsf{Mass (1 gallon of skim milk)} & = \sf Density \times Volume\\& = \sf 1.033\:kg/l \times \dfrac{1}{0.264}\:l\\& = \sf 3.913\:kg\:(3\:dp)\end{aligned}$

Therefore, the mass of 1 gallon of skim milk is 3.913 kg (3 dp)

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Question 3

Given:

Volume of liquid = 9 liters
Mass of liquid = 9.108 kg

$\begin{aligned}\implies \sf Density & = \sf \dfrac{Mass}{Volume}\\\\& = \sf \dfrac{9.108\:kg}{9\:l}\\\\& = \sf 1.012\:kg/l \end{alilgned}$

Therefore, the container holds light cream.

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Question 4

Given:

15 CoffeeStops per 100,000 people
Population of Manhattan ≈ 1,602,000 people

$\begin{aligned}\implies \textsf{Number of Coffeestops} & = \sf \dfrac{population}{density}\\\\& = \sf \dfrac{1,602,000}{100,000/15}\\\\& = \sf \dfrac{1,602,000}{100,000} \times 15\\\\& = \sf 240.3\end{aligned}$

Therefore, there are 240 CoffeeStops.

---------------------------------------------------------------------------------------------

Question 5

Given

Manhattan ≈ 34 square miles

$\begin{aligned}\implies \textsf{CoffeeStops density} & = \sf \dfrac{number\:of\:stores}{land\:area}\\\\& = \sf \dfrac{240}{34}\\\\& \approx \sf 7 \: \textsf{CoffeeStops per square mile}\end{aligned}$

Therefore, the density of CoffeeStops is 7 per square mile.

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Question 6

Given:

Each person buys 3 cups of coffee per week

$\begin{aligned}\implies \textsf{Cups served each week} & = \textsf{number of people} \times \textsf{number of cups per week}\\& = \sf 1,602,000 \times 3\\& = \sf 4,806,000\: \textsf{cups per week}\\\\\implies \textsf{Cups per day} & = \sf \dfrac{\textsf{cups per week}}{\textsf{days in a week}}\\\\& = \sf \dfrac{4,806,000}{7}\\\\& = \sf 686,571\:\textsf{(nearest whole number)}\end{aligned}$

$\begin{aligned}\implies \textsf{Cups served per day per shop} & = \dfrac{\textsf{cups per day}}{\textsf{number of shops}}\\\\& = \sf \dfrac{686,571}{240}\\\\& = \sf 2,861\: \textsf{(nearest whole number)} \end{aligned}$

Therefore, each Manhattan CoffeeStop serves approximately 2,861 cups of coffee each day.

7 0

2 years ago

What is the solution to the system of equations graphed below

madreJ [45]

$\underline{+\left\{\begin{array}{ccc}y=-x-1\\y=x+1\end{array}\right}\ \ \ \ |\text{add both sides}\\\\.\ \ \ \ \ 2y=0\ \ \ |:2\\.\ \ \ \ \ y=0\\\\\text{substitute the value of y to the second equation}\\\\0=x+1\ \ \ \ |-1\\x=-1\\\\Answer:\ A.\ (-1,\ 0)$

8 0

3 years ago

So Naomi Brough Five bags of chips but theirs three people she's sharing with How many does each Person get.Divide.

sladkih [1.3K]

Each person would get 1 2/3 bags of chips.

8 0

3 years ago