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Murljashka [212]
3 years ago
8

What is the greatest value in the range of f(x)=x^2-5 for the domain {-5, -3, 0, 1, 2}?

Mathematics
1 answer:
kati45 [8]3 years ago
3 0
f(x)=x^2-5;\ x\in\{-5;-3;\ 0;\ 1;\ 2\}\\\\f(-5)=(-5)^2-5=25-5=20\\f(-3)=(-3)^2-5=9-5=4\\f(0)=0^2-5=-5\\f(1)=1^2-5=1-5=-4\\f(2)=2^2-5=4-5=-1\\\\Answer:f(-5)=20
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How do I Rewrite the function by completing the square x^2+8x-29
Flura [38]

Answer:

  (x +4)^2 -45

Step-by-step explanation:

The square of a binomial has the form ...

  (x +a)^2 = x^2 +2ax +a^2

That is, the constant term (a^2) is the square of half the coefficient of the linear term: (2a/2)^2 = a^2.

To "complete the square", you add 0 in the form of the desired constant added to its opposite. Here, we want the constant for the square to be (8/2)^2 = 16. So, we can add 0 = 16 -16 to the expression:

  x^2 +8x +16 -29 -16

  (x^2 +8x +16) -45 . . . . group the terms that make the square

  (x +4)^2 -45 . . . . rewritten after completing the square

5 0
3 years ago
Is 5/3 a terminal or repeating decimal
gregori [183]

5/3 = 1.66666....

Repeating decimal.

6 0
3 years ago
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A rectangle has a length of x+2, a width of 7, and a perimeter of 32. The value of x is ?
beks73 [17]
Perimeter = sum of all sides

32 = 2(x+2) + 2(7)
32 = 2x+4 + 14
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4 0
3 years ago
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daser333 [38]
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just divide
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8 0
3 years ago
Use the trend line to predict what the value of variable N will be when variable M equals 50.
ahrayia [7]

Answer:

N = 10

Step-by-step explanation:

Normally the coordinate system goes:

x axis (horizontal)

y axis (vertical)

Here, we have:

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Vertical axis as "N"

We want to know what N will be when M equals 50.

So, we look at the x-axis and go to M equals 50.

Then we move up until the "trend line". The intersection.

If we move directly left to vertical axis (N variable), we see that it is at the point:

N = 10

So,

When M = 50, N = 10

8 0
3 years ago
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