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Oliga [24]
3 years ago
9

Given the definitions of f(x) and g(x) below, find the value of (f og)(2).

Mathematics
1 answer:
irakobra [83]3 years ago
7 0
F(x) = 11/5 i think sorry if not :(
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The distributive property states:
Nataliya [291]

9514 1404 393

Answer:

  D.  If a sum of two numbers is multiplied by a factor, you can multiply each number by that factor and then add the products.

Step-by-step explanation:

The point of the distributive property is that it allows multiplication to be distributed over addition. That is, ...

  a(b +c) = ab +ac

The product of a factor and a sum is the same as the sum of the products of that factor with each of the elements of the sum. This is expressed in statement D.

__

Statement A refers to the commutative property of multiplication.

Statement B is a restatement of the multiplication rule in the "order of operations."

Statement C refers to the associative property of multiplication.

Statement D is a restatement of the distributive property.

5 0
2 years ago
.
USPshnik [31]

Answer:

  • $17,500 at 8%
  • $17,500 at 14%

Step-by-step explanation:

The fraction that needs to be invested at the higher rate is ...

  (11% - 8%)/(14% -8%) = 3%/6% = 1/2

Half the money should be invested at each of the rates:

  $17,500 for 8% return

  $17,500 for 14% return.

_____

If you let x represent the amount at the higher rate, then the total return is ...

  14%x + 8%(35000 -x) = 11%(35000)

  (14% -8%)x = (11% -8%)(35000) . . . . subtract 8%·35000

  x = (11% -8%)/(14% -8%)×35000 . . . . divide by the coefficient of x

Note that this formula is exactly the one we started with, above.

4 0
3 years ago
PLEASE HELP SUPER EASY!!!
Effectus [21]

A1. 12 i.e option D

A2. 3n-7 i.e option A

A3. -6n+20 i.e option D

A4. -70 i.e option C

Step-by-step explanation:

aₙ = a₁ + (n - 1) × d  

aₙ = the nᵗʰ term in the sequence

a₁ = the first term in the sequence

d = the common difference between terms

Using the above formula to solve the first part, we have :

  • -8 = a₁ + (2-1) × 5
  • -13 = a₁
  • a₆ = -13 + (6-1) × 5
  • a₆ = 12

For the second part, we have :

  • aₙ = -4 + (n-1)×3
  • aₙ = -4 + 3n -3
  • aₙ = 3n-7

For the third part, we have :

  • a₁=14 ; d=-6
  • aₙ = 14 + (n-1)×(-6)
  • aₙ = -6n + 20

For the fourth part, we have :

  • aₙ = 14 + (15-1)×(-6)
  • aₙ = -70
7 0
3 years ago
Find the derivative of y= 1 / x​
givi [52]

Answer:

dy/dx = -1/x^{2}

Step-by-step explanation:

y = 1/x

dy/dx = d/dx(1/x)

=> dy/dx = d/dx(x^{-1})

=> dy/dx = -x^{-2}

=> dy/dx = -1/x^{2}

6 0
2 years ago
the endpoints of the diameter of a circle are (−6, 6) and (6, −2), what is the standard form equation of the circle?
miss Akunina [59]
The equation of a circle in standard form is

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle, and r is the radius if the circle.

We need to find the radius and center of the circle.
We are given a diameter, so to find the center, we need the midpoint of the diameter.

M = ((-6 + 6)/2, (6 + (-2))/2) = (0, 2)
The center is (0, 2).

To find the radius, we find the length of the given diameter and divided by 2.

d = \sqrt{(-6 - 6)^2 + (6 - (-2))^2)}

d = \sqrt{144 + 64}

d = \sqrt{208}

r = \dfrac{d}{2} = \dfrac{\sqrt{208}}{2} = \dfrac{\sqrt{208}}{\sqrt{4}} = \sqrt{52}

(x - 0)^2 + (y - 2)^2 = (\sqrt{52})^2

x^2 + (y - 2)^2 = 52
7 0
3 years ago
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