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2 years ago

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

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Answer:

360 degrees

Step-by-step explanation:

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

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3 years ago

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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

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the area where the solutions are in the yellow area

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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 given 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.

Finding  $\angle DFE$ :

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

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

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

Finding  $\angle E$ :

Property of external angle: 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 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 ⸙

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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

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

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