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Anna007 [38]
3 years ago
5

X=|y| what is the domain and range ?

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

Answer:

Domain: x ≥ 0

Range: All real numbers

Step-by-step explanation:

This is an absolute value function which creates a V for its graph. Since the absolute value is on y, the function is rotated to the right or sideways.

This means only the x values of 0 and greater are used in the function. Since the domain is the set of all x values then it is x≥0.

This also means that all y values are used on the y-axis. There is no restriction on the y values. Since the range is the set of all y values then it is all real numbers.

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Select the correct answer. If the function 5x + y = 1 has the domain (-2, 1, 6), then what is the corresponding range? OA. {-9,
Leokris [45]

Answer:

D) {11,-4,-29}

Step-by-step explanation:

rewrite the equation as y= -5x+1 and plug in -2,1 and 6 to get y

-5*-2+1=11

-5*1+1=-4

-5*6+1=-29

3 0
3 years ago
Four times the square of a certain number increased by 6 times the number equals 108. Find the number
vodomira [7]
-6 and 4.5
So to do this you’ll make an equation x will represent the number so 4x^2+6x=108 so we want the equation to equal 0 so we can solve it to do that you have to subtract 108 from both sides so it ends up being 4x^2+6x-108=0 we want to isolate the x onto one side and division property allows us to divide both sides by 2 the reason it’s two is because 2 is the biggest divisible number that every number in the equation is divisible by so once you divide every number by two you get 2x^2+3x-54=0 now you have to factor cause but since you only have 3x and nothing else to factor with you have to write 3x as a difference so you could do 2x^2+12x-9x-54=0 so you are complicating the problem so you can factor out 2x from the expression so 2x(x+6)- 9(x+6)=0 the 54 got factored because it’s divisible by 9 that 6 is in replace of the 54 cause if you solved it 9x6 is still 54 next factor out x+6 so (x+6) x (2x-9) =0 so one of the two have to equal 0 so right the equations separately x+6=0 minus 6 from both sides and you’ll get x to equal -6 and 2x-9=0 add 9 to both sides and you’ll get 2x=9 divide both sides by 9 and you’ll get x to equal 4.5 when you plug 4.5 and -6 for x the equation works out
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mojhsa [17]
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ELEN [110]

Answer:

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Step-by-step explanation:

The formula of an area of a trapezoid:

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b₁, b₂ - bases

h - height

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A=\dfrac{10+5}{2}\cdot11=\dfrac{15}{2}\cdot11=7.5\cdot11=82.5\ in^2

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