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Evgen [1.6K]
2 years ago
6

Use the function below to find F(3). F(x) = 4(1/3)^x​

Mathematics
2 answers:
Neporo4naja [7]2 years ago
8 0

Answer:

4/27

Step-by-step explanation:

f(x) = 4(1/3)^x

f(3) = 4(1/3)^3

f(3) = 4(1/27)

f(3) = 4/27

hope that helps

aalyn [17]2 years ago
6 0

Answer:

4/27

Step-by-step explanation:

F(x) = 4(1/3)^x

Let x =3

F(3) = 4(1/3)^3

Exponents first

F(3) = 4 * 1/27

Then multiply

f(3) = 4/27

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How many degrees does a wheel turn in one complete rotation
lara [203]

Answer:

360 degrees

Step-by-step explanation:

If a wheel turns all the way around, or one complete rotation then it is 360 degrees

4 0
3 years ago
Read 2 more answers
Select the ordered pairs that represent solutions to the system of inequalities.Select all that applyAnswer choices:(-6, 3)(-3,
Nadya [2.5K]

We can verify this with the graph

(-6, 3) NO

(-3, 3) NO

(-5, 0) NO

(-4, 2) YES

(0,0) NO

(-6, 6) YES

(-3, -6) NO

(-4.0) YES

the area where the solutions are in the yellow area

5 0
1 year ago
Prove that the triangle EDF is isosceles. Give reasons for your answer.
Gekata [30.6K]

Answer:

\triangle EDF is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are <u>given</u> the following things:

\angle EDF = y

\text{External }\angle DFG = 90 +\dfrac{y}{2}

Let us try to find out \angle E and \angle DFE. After that we will compare them.

<u>Finding </u>\angle DFE<u>:</u>

Side EG is a straight line so \angle GFE = 180

\angle GFE is sum of internal \angle DFE and external \angle DFG

\angle GFE = 180 = \angle DFE  + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)

<u>Finding </u>\angle E<u>:</u>

<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external \angle DFG = \angle E + \angle EDF

\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2}  -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)

Comparing equations (1) and (2):

It can be clearly seen that:

\angle DFE = \angle E =90-\dfrac{y}{2}

The two angles of \triangle EDF are equal hence \triangle EDF is isosceles.

8 0
3 years ago
Help me PLease<br><br><br><br> also explain how to do it
Lady bird [3.3K]

❥\Large\pmb{ \underline {\tt Answer}}

So we can only find x if other two angles of triangle is given.

In angle B as u can see boxed shape angle is there then it probably means it's a 90° angle.

We know sum of angles of triangle = 180°

{Reson :-

There's a formula to fund sum of angles of figure

  • (n-2) × 180
  • (3 -2) × 180
  • 1 × 180
  • 180°

}

Now Let's proceed

\boxed{ \rm Side_1+Side_2+Side_3 = 180\degree}

Fill all the given values

\dashrightarrow \tt 90 \degree + 55 \degree + c = 180 \degree

\\  \\

\dashrightarrow \tt 145\degree + c = 180 \degree

\\  \\

\dashrightarrow \tt  c = 180  \degree - 145\degree

\\  \\

\dashrightarrow \tt  c = 35\degree

\\  \\

Value of x = 35°

~BrainlyVIP ⸙

8 0
2 years ago
Find the value of x so that the function has the given value
True [87]

Answer:

Step-by-step explanation:

We are looking for the value of x so that the function has the given value in the following:

1) h(x) = -7x; h(x)=63

From the function given above,

If h(x) = 63, then,

h(x) = 63 = -7x

-7x = 63

Dividing the left hand side and right hand side of the equation by -7, it becomes

-7x/-7 = 63/-7

x = - 9

2) m(x) = 4x + 15; m(x)=7

From the function given above,

If m(x) = 7, then,

m(x) = 7 = 4x + 15

7 = 4x + 15

4x = 15 - 7 = 8

Dividing the left hand side and right hand side of the equation by 4, it becomes

4x/4 = 8/4

x = 2

3) q(x) = 1/2x - 3; q(x) = -4

From the function given above,

If q(x) = - 4, then,

q(x) = - 4 = 1/(2x - 3) =

Cross multiplying,

-4(2x-3) = 1

-8x +12 = 1

Collecting like terms,

-8x = 1 - 12

-8x = -11

Dividing the left hand side and right hand side of the equation by -8, it becomes

-8x/8 = -11/-8

x = 11/8

3 0
2 years ago
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