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Arisa [49]
2 years ago
15

What is the domain of f(x) = (x + 2)2 – 1?

Mathematics
1 answer:
larisa [96]2 years ago
4 0

Simplify

\\ \tt\Rrightarrow f(x)=(x+2)^2-1

\\ \tt\Rrightarrow f(x)=x^2+4x+2-1

\\ \tt\Rrightarrow f(x)=x^2+4x+1

The Domain is set of all real numbers

\\ \tt\Rrightarrow Domain\in R

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Lucinda is saving money for a hot-air balloon trip to celebrate her graduation. She needs $300 dollars. Express this amount as a
lora16 [44]

Answer:

Positive number

Step-by-step explanation:

Given that:

Lucinda is saving money for a hot-air balloon trip to celebrate her graduation and she needs $300 dollars.

Let x be the amount of her savings and she needs $300

SO;

x  + 300 = 0

As an integer, it is represented by a positive number because she needs this amount of money in addition to what she already saved.

8 0
2 years ago
The equation y= -5.131x^2 + 31.821x - 3.333 approximates the number of people standing in line to catch a commuter train x hours
GREYUIT [131]
The answer should be D since after 5 am to 7 am only two hours have passed so x=2, and then you plug in the x as 2 and solve it. You might get not around answer like 39.785 but when you round it, it would be 40.
4 0
3 years ago
Read 2 more answers
You multiply a number by 3 subtract 6 then add 2 the results is 20 what's the number
e-lub [12.9K]

You multiply a number by 3 subtract 6 then add 2 the results is 20

what's the number​ ?

Let the number = x

multiply a number by 3

so, it becomes 3x

subtract 6 , so, 3x - 6

then add 2

so, 3x - 6 + 2

The result will be 20

So,

3x - 6 + 2 = 20

solve for x

3x - 4 = 20

Add 4 to both sides

3x - 4 + 4 = 20 + 4

3x = 24

Divide both sides by 3

3x/3 = 24/3

So,

x = 8

5 0
1 year ago
What does it mean to "model with mathematics"?
Sergeu [11.5K]

Answer:

See below.  To model with mathematics is to test ideas using math and computer programs to simulate an object or action.

Step-by-step explanation:

To "model with mathematics" means that equations and mathematical relationships will be employed to simulate an object or action instead of using the actual object or action.  One example would be the design of a roller coaster.  The forces inherent on a roller coaster design can be predicted using Newton's laws and other principles of physics.  F=ma may be used to predict the force pulling the car down the initial incline and that can be used to calculate speed at the bottom.  A change in the car's direction will also produce forces that may be calculated,  One might ask "Will this turn produce more force than the seat belt can safely handle?"  Rather than building a coaster and testing it with your business partner in the seat, a mathematical model can be used to determine the risks and maximum forces.  You'll have a much better chance of keeping your friend intact on the actual coaster.  Mathematical models are also used to predict weather, the impact of monetary policy of the economy, and even which Netflix movie you are most likely to enjoy.  The design of aircraft, ships, cars, and many other items are done using computer-aided design programs where the various forces can be modeled to determine optimum design without actually building the item.  This can save enormous amounts of time and money to be able to test ideas on the computer before starting actual assembly.

3 0
1 year ago
The deposits Ginny makes at her bank each month form an arithmetic sequence. The deposit for month 3 is $150, and the deposit fo
givi [52]
1. 15 dollars
2. Deposit=15*month+105
3. Deposit=15*12+105=$285
4.
500=15*month+105
395=15*month
26.33=month
Round up to 27 for the nearest whole month, so month 27.

Hope this helps!
5 0
3 years ago
Read 2 more answers
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