If (x + 4) is a factor of f(x), which of the following must be true?

1 answer:

8 0

F(-4) = 0

Here, we replace x with -4. In doing so, we see that (-4+4) is indeed 0, making this the correct answer.

The next two choices are incorrect since only -4 is a root of f(x), as explained above (a root occurs when the function equals zero when plugging in that “root”).

The last answer is incorrect since plugging in 4 will get f(4)=8.

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Owning a small and successful business isn't easy! There is a monthly cost of shipping supplies and

andriy [413]

Answer:

$C(x)=24,000+19,200x$

Step-by-step explanation:

<u>Mathematical Modeling</u>

To model a real-life situation, a mathematical model can be constructed in such a way it accurately represents the variables measured in the system.

This problem requires to build a model for the yearly cost of a small and successful business.

The first data is the fixed monthly cost or the money the owner must pay regardless of the number of employees he hires. This cost includes shipping supplies and products for $2,000. To operate for a full year, the fixed cost is 12*$2,000=$24,000.

The other component of the cost function is the variable cost of x employees. Given each employee costs $1,600 each month, having x employees cost 1,600x each month. For a full year, the variable cost will be

12*1,600x=19,200x.

We finally form the total cost function:

$\boxed{C(x)=24,000+19,200x}$

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2 years ago

What two numbers multipled get -48 and when added get 8?

Katarina [22]

X * y = -48
x + y = 8

y = -48/x

x -48/x = 8
x^2 - 48 = 8x
x^2 - 8x -48 = 0
x = 12
y = -4

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3 years ago

What is the measure of the radius of the cone in the diagram below?

Anastasy [175]

Answer:

4cm

Step-by-step explanation:

the diameter is labelled as 8cm

radius is half of the diameter

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Your friend can clap his hands 28 times in 12 seconds. How many times can your friend clap his hands in 0.5 minute?

Allushta [10]

60 seconds in a minute

12 goes into 60, 5 times,
So 5 * 28 = 140
140 claps per minute

0.5 minute is 30 seconds, half a minute so divide by 2,
140/2 = 70

70 times every 0.5 minutes

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