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3 years ago

Help me with my khan academy!

Mathematics

2 answers:

NikAS [45]3 years ago

8 0

Answer:

the answer will be a because its on top of it

vagabundo [1.1K]3 years ago

4 0

Answer:

E, I hope this helps :D

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A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is la

Minchanka [31]

The exponential function which represented by the values in the table is $f(x)=4(\frac{1}{2})^{x}$ ⇒ 3rd answer

Step-by-step explanation:

The form of the exponential function is $f(x)=a(b)^{x}$ , where

a is the initial value (when x = 0)
b is the growth/decay factor
If k > 1, then it is a growth factor
If 0 < k < 1, then it is a decay factor

The table:

→ x : f(x)

→ -2 : 16

→ -1 : 8

→ 0 : 4

→ 1 : 2

→ 2 : 1

∵ $f(x)=a(b)^{x}$

- To find the exponential function substitute the value of x and f(x)

by some values from the table to find a and b, at first use the

point (0 , 4) to find the value of a

∵ x = 0 and f(x) = 4

∴ $4=a(b)^{0}$

- Remember that any number to the power of zero equal 1

except the zero

∵ $b^{0}=1$

∴ 4 = a(1)

∴ a = 4

Substitute the value of a in the equation

∴ $f(x)=4(b)^{x}$

- Chose any other point fro the table to find b, lets take (1 , 2)

∵ x = 1 and f(x) = 2

∴ $2=4(b)^{1}$

∴ 2 = 4 b

- Divide both sides by 4

∴ $b=\frac{2}{4}=\frac{1}{2}$

- Substitute the value of b in the equation

∴ $f(x)=4(\frac{1}{2})^{x}$

The exponential function which represented by the values in the table is $f(x)=4(\frac{1}{2})^{x}$

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

8 0

3 years ago

Read 2 more answers

Is the function g(x)=9<br> x+1 linear or nonlinear?

Licemer1 [7]

It is a linear function

3 0

4 years ago

Find the common ratio for this geometric sequence.

Nonamiya [84]

Answer:

i believe it is B.

I could be wrong, D is my second choice. but since (left to right) its decreasing, im 89% sure it is B 1/9.

4 0

3 years ago

Use calculator to find the values of the following,correct to 3decimal places:<br><br> 1. Cot 61,4

g100num [7]

No such thing as cot (61,4). I think you meant to say cot (61.4°). See the difference?

So, cot (61.4°) is approximately -0.139844.

Rounded to 3 decimal places we get -0.140.

6 0

3 years ago

Find all solutions of the equation in the interval [0, 2pi).

mina [271]

Answer:

x = 0 , π

Step-by-step explanation:

$-4 \sin x = 1 - cos^2 x$

Rewrite it by using the identity $\sin^2x + \cos^2x = 1$

$=> -4\sin x = \sin^2x$

Add 4sin x to both the sides.

$=> -4\sin x + 4\sin x = sin^2x + 4\sin x$

$=> \sin^2x + 4\sin x = 0$

Take sin x common from the expression in L.H.S.

$=> \sin x(\sin x + 4)=0$

Here , we can get two more equations to find x.

1) $\sin x(\sin x + 4)=0$

Divide both the sides by sin x

$=> \frac{\sin x(\sin x + 4)}{\sin x} = \frac{0}{\sin x}$

$=> \sin x + 4 = 0$

Substract 4 from both the sides.

$=> \sin x + 4 - 4 = 0 - 4$

$=> \sin x = -4$

$=> x = No \; Solution$

2) $\sin x(\sin x + 4)=0$

Divide both the sides by (sin x + 4)

$=> \frac{\sin x(\sin x + 4)}{\sin x + 4} = \frac{0}{\sin x + 4}$

$=> \sin x = 0$

$=> x = 0 \; , \pi$ over interval [0 , 2π).

5 0

3 years ago