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Mkey [24]
3 years ago
5

According to the table, which ordered pair is a local minimum of the function, f(x)?

Mathematics
2 answers:
sveticcg [70]3 years ago
7 0

Answer:

Option D

Step-by-step explanation:

Given is a table which gives the order pair of x and y for a function f(x)

We have to find the local minimum of the function f(x)

We have from the table the values of different f(x)

Of all we find the least value is -15 and for this x value is -2 or +2

Hence f(x) has minimum at two points

(-2,-15) and (2,-15)

Out of 4 options given we find that (2,-15) appears in IV option

Hence option D is right answer

Marina86 [1]3 years ago
7 0
A local minimum is a point with the lowest y (or f(x)) value. That being said, the answer with the lowest y value is D.
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The sum of three consecutive odd integers is-219. What is the first number in the set?
Alex73 [517]

Answer:

-75

Step-by-step explanation:

Let us consider the first  odd number to be 'x'.

Thus:

  1. 1st odd number: x
  2. 2nd odd number: x+2
  3. 3rd odd number: x+3

According to the question, the sum of these three consecutive ODD numbers should be equal to -219

So,

x + x + 2 + x + 4 = -219

3x + 6 = -219

3x = -225

x = -75

3 0
3 years ago
At 8:00 a.m. the temperature outside in Juneau, Alaska was -16.5 . By noon the temperature had increased by 15.25 . What is the
adelina 88 [10]

It would be -1.25 degrees at noon.

3 0
3 years ago
Sin and cos <br>sin Y= ___ in fraction form if you can explain it that would be very helpful
Valentin [98]

Check the picture below.

6 0
3 years ago
Logarithms:
WITCHER [35]

Answer:

  • A) k = 18.75
  • B) R(0.8) = 161419
  • C) R(0.3) = 275

Step-by-step explanation:

<u>Given expression</u>

  • R(x) = 6*e^(kx)

A) <u>Given</u>

  • x = 0.04
  • R = 10

<u>Solving for k</u>

  • 10 = 6*e^(0.04k)
  • e^(0.04k) = 10/6
  • ln (e^0.04k) = ln (1.6666)
  • 0.04k = 0.51
  • k = 0.51/0.04
  • k = 12.75

B) <u>Given</u>

  • x = 0.8
  • R= ?

<u>The value of R(0.8) is:</u>

  • R(0.8) =
  • 6*e^(0.8*12.75) =
  • 6*e^(10.2) =
  • 161419  rounded

C) <u>Given</u>

  • x = 0.3
  • R = ?

<u>The value of R(0.3) is:</u>

  • R(0.3) =
  • 6*e^(0.3*12.75) =
  • 6*e^(3.825) =
  • 275 rounded
4 0
3 years ago
Erify that f has an inverse. then use the function f and the given real number a to find (f −1)'(a). (hint: see example 1. if an
zhannawk [14.2K]

The function

... f(x) = (x+2)/(x-1) = 1 + 3/(x-1)

is symmetrical about the line y=x, hence is its own inverse.


We can evaluate the desired derivative directly.

... f'(x) -3/(x-1)²

so f'(2) is

... f'(2) = -3/(2-1)²


(f^{-1})(2)=-3

8 0
3 years ago
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