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Sophie [7]
3 years ago
6

Plz answer this its some math homework

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0

3,6,9,7

1/3 = 0.33333 forever

1/6 = 0.1666666666 forever

1/9 = 0.1111111 forever

1/7 = 0.1428----


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Write the inverse function for the function, ƒ(x) =1/2x + 4. Then, find the value of ƒ^ -1(4). Type your answers in the box.
Kipish [7]

Answer:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

Step-by-step explanation:

f(x) = \frac{1}{2} x + 4\\x = \frac{1}{2} f^{-1}(x) + 4\\x - 4 = \frac{1}{2} f^{-1}(x)\\2x - 8 = f^{-1}(x)\\f^{-1}(x) = 2x - 8

Let's test it

f^{-1}(f(x)) = 2(f(x)) - 8\\f^{-1}(f(x)) = 2( \frac{1}{2}x + 4) - 8\\f^{-1}(f(x)) = \frac{2}{2}x + 8 - 8\\f^{-1}(f(x)) = x

So we do indeed have the inverse function, so using that we can plug in the values requested:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

4 0
3 years ago
An airplane is traveling at a speed of 240 miles/hour with a bearing of 110°. The wind velocity is 56 miles/hour at a bearing of
vodka [1.7K]

Answer:

Actual speed = 288 miles per hour

Actual direction angle = 116.38^\circ

Step-by-step explanation:

"Bearing" is the relative position of an object outside the plane compared to the position of the plane.  

Heading the the direction the nose of the plane is pointing.  

Course is the direction that pilot wants the plane to go.  

Wind direction is always the direction the wind is blowing from.  

The airplane is traveling at a speed of 240 miles/hour with a bearing of 110°.  

If the plane is traveling with a bearing of 110° and the wind is blown at a bearing of 325°.  

 325^{\circ}- 110^{\circ} =225^{\circ}

215^{\circ}- 180^{\circ} =35^{\circ}

The Ground speed will be in excess of the airspeed and true direction will be south if the indicated heading.  

The tailwind component is:

56 cos (35^\circ)

And the cross wind component is:

56 sin (35^\circ)  


And that is,

C^2 = (286)^2 + (32)^2


c = 288

So the actual speed of the plane is 288 miles per hour.

The deviation in the direction is:

Let the direction angle be 'x'.

x = tan ^{-1}\left ( \frac{32}{286} \right )=6.38^\circ

So the actual direction angle is 110^\circ+ 6.38^\circ=116.38^\circ.

5 0
3 years ago
Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Wr
aleksley [76]
727.29 + 248.50 − x ≥ 500;
x ≥ $475.79 727.29 + 248.50 − x ≤ 500;
x ≤ $475.79 727.29 − 248.50 + x ≥ 500
 x ≥ $21.21 727.29 – 248.50 - x ≤ 500
 x ≤ $21.21
6 0
3 years ago
PLEASE HELP ASAP!!!!!!!!!!!
Natalija [7]

Answer:

The only answer is 67 degrees

Step-by-step explanation:

A straight line is 180 degrees and x is one part and the other part is 113 degrees, so if you do 180-113 it will be 67.

8 0
3 years ago
Read 2 more answers
What is the center and radius of the circle?<br> (x-3)2 + y² = 4
Kipish [7]

Answer:

center = (3, 0)

radius = 2

Step-by-step explanation:

Standard equation of a circle:  \sf (x-h)^2+(y-k)^2=r^2

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

Given equation:

\sf (x-3)^2+y^2=4

Rewrite in standard form:

\sf \implies (x-3)^2+(y-0)^2=2^2

Therefore

  • center = (3, 0)
  • radius = 2
4 0
2 years ago
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