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amid [387]
3 years ago
7

Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Check all that apply.

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
4 0
Statements 2, 3, and 5 are true based on the graph of this function.

Amanda [17]3 years ago
3 0
Remark
There is nothing like a graph to settle arguments about which property is to be checked. 

Property One
The graph's domain is (-∞<x<∞) there are no restrictions. So property 1 is false.

Property two
The graph says that property two is true. You could complete the square to confirm it. When you do you get
y = -(x^2 + 4x) + 2
y = -(x^2 + 4x + 4) + 2 + 4
y = -(x + 2)^2 + 6  So the y value must be less that 6 ( or equal to 6)

Property Three
Property 3 is true if you are referring to the domain and neither -2 nor - infinity are included.

Property Four
Property Four is not true, It begins to decrease when x>-2 to + infinity

Property Five
It is positive (2).

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Step-by-step explanation:

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Answer:

240 miles

Step-by-step explanation:

Given that:

Charges offered by Prestige car rentals for renting a midsize vehicle:

Fixed charges = $47

Per mile charges for renting a midsize vehicle = $0.07

Charges offered by Gateway Auto for renting a midsize vehicle:

Fixed charges = $35

Per mile charges for renting a midsize vehicle = $0.12

To find:

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Solution:

Let the number of miles for which both the companies will charge the same price = x miles

Charges for one mile by Prestige car rentals = $0.07

Charges for x miles by Prestige car rentals = $0.07x

Total charges by Prestige Car rentals = $47 + $0.07x

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Charges for x miles by Gateway Auto = $0.12x

Total charges by Gateway Auto = $35 + $0.12x

As per question statement, the charges are same:

\$47 + \$0.07x = \$35 + \$0.12x\\\Rightarrow 12=0.05x\\\Rightarrow x=\dfrac{1200}{5}\\\Rightarrow \bold{x=240\ miles}

4 0
2 years ago
Solve x2 + 12 = -11 by completing the square.which is the solution set of the equation
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Answer:

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Answer:

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Step-by-step explanation:

Hi there, hope you are having a nice day!

All we should do is plug in the value of b:

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Hope you find it helpful.

Feel free to ask if you have any questions.

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