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qwelly [4]
3 years ago
11

What is the multiplicative rate of change for the exponential function f(x) = 2(5over2 )–x?

Mathematics
1 answer:
azamat3 years ago
6 0
It is 2/5 = 0.4 <span>because of the negative in the exponent.
</span><span>



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Ivahew [28]

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3 years ago
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Sin(60-theta)sin(60+theta)​
ehidna [41]

Step-by-step explanation:

\sin(60 -  \theta)  \sin(60 +  \theta)  \\  =  \{ \sin(60)  \cos( \theta)  -  \sin( \theta)   \cos(60)  \} \{ \sin(60)  \cos( \theta)  +  \cos(60)  \sin( \theta)  \} \\  =  \{ \frac{ \sqrt{3} }{2}  \cos( \theta)  -  \frac{1}{2}  \sin( \theta)  \} \{ \frac{ \sqrt{3} }{2}  \cos( \theta)  +  \frac{1}{2}  \sin( \theta)  \} \\  \\

from difference of two squares:

{ \boxed{(a - b)(a + b) = ( {a}^{2} -  {b}^{2} ) }}

therefore:

=  \{ {( \frac{ \sqrt{3} }{2}) }^{2}  { \cos }^{2}  \theta \} -  \{ {( \frac{ \sqrt{3} }{2} )}^{2}  { \sin }^{2}  \theta \} \\  \\  =  \frac{3}{4}  { \cos }^{2}  \theta -  \frac{3}{4}  { \sin}^{2}  \theta

factorise out ¾ :

=  \frac{3}{4} ( { \cos }^{2}  \theta  -  { \sin}^{2}   \theta) \\  \\  = { \boxed{ \frac{3}{4}  \cos(2 \theta) }}

3 0
3 years ago
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Need help ASAP, I am really confused!
guajiro [1.7K]

x=2 and y = 6 for your awnser hope it helped

4 0
3 years ago
Someone help me on this question please
dlinn [17]
The proportion
  peanuts : raisins : chocolate chips = 4 : 6 : 2
tells you that peanuts make up
  4/(4+6+2) = 1/3
of the total quantity of the mix.

The quantity of peanuts required is (1/3)*(48 ounces) = 16 ounces (or 1 pound).

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In the 48 ounces of mix, 1 part = 4 ounces.
6 0
3 years ago
The two rectangles shown have equal areas. Find the value of x
Tema [17]

Answer:

x=18

Step-by-step explanation:

We need to find the areas of the rectangles

1st rectangle

A= l*w

A = (2x+4)*9

   = 18x+36



2nd rectangle

A = l*w

   = 15*(3x-30)

    = 45x-450


Since the area of the rectangles are equal, we set these two equations equal

18x+36 = 45x-450

Subtract 18x from each side

18x-18x+36 = 45x-18x-450

36 = 27x-450

Add 450 to each side

36+450 =27x

486 = 27x

Divide by 27 on each side

486/27 = 27x/27

18=x


7 0
3 years ago
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