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padilas [110]
3 years ago
7

the absolute value function, f(x) = –|x| – 3, is shown. what is the range of the function? all real numbers all real numbers les

s than or equal to 0 all real numbers greater than or equal to –3 all real numbers less than or equal to –3
Mathematics
2 answers:
pickupchik [31]3 years ago
4 0
The range is all real numbers less than or equal to –3
BaLLatris [955]3 years ago
4 0

Answer:

Range is : all real numbers less than or equal to –3

Step-by-step explanation:

Range of a function f(x) is defined as set of all real possible values of f(x) such that the function is defined.

the given function is : -|x| - 3

Now, since absolute function only writes positive value so least value of |x| is 0

⇒ Greatest value of -|x| - 3 is -3

And least value is not fixed So the least possible value of f(x) is -∞

So, the range of f(x) is (-∞,-3]

Hence, Range is : all real numbers less than or equal to –3

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It’s 59 and subtract it from 12 times the number the result is the square of two less than the numberl
musickatia [10]

Step-by-step explanation:

let the number be x

12x-59=x²-2

12x-x²=59-2

12x-x²=57

12x-57=x²

x=root of 12x-57

7 0
3 years ago
Tell which congruence postulate or theorem you would use to show that thetriangles are congruent.
vlabodo [156]

From the given figure, we know that:

\begin{gathered} NO\cong LO \\ NM\cong LM \\ MO\cong MO \end{gathered}

This means that the three sides of triangle MNO are congruent to three sides of triangle LMO. Therefore, the triangles are congruent by Side Side Side postulate.

3 0
1 year ago
What is the common difference in the following arithmetic sequence?<br> 2.8, 4.4, 6, 7.6
Volgvan

Answer:

1.6

Step-by-step explanation:

4.4 - 2.8 = 1.6

6 - 4.4 = 1.6

7.6 - 6 = 1.6

8 0
3 years ago
You are at the store you buy a jacket that is regularly priced at $84 it is on sale for 30% off. When you take it up to the cash
Zepler [3.9K]
$63.54 is the price after the discount and tax
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3 years ago
If a graph of y=-4x +2 were changed to a graph of y=-4x+5, how would the y- intercept change?
Dmitry [639]

Answer:

So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.

The y-intercept was (0,2) then it becomes (0,5) in the new line.

Step-by-step explanation:

The slope-intercept form a line is y=mx+b where m is the slope and the y-intercept is b.

Both of these equations given are in this form.

y=-4x+2 when compared to y=mx+b you see that m=-4 and b=2.

Since b=2 then the y-intercept is 2.

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Since b=5 then the y-intercept is 5.

So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.

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