How do I solve this equation?

Answer:

[tex]f(x)=\frac{3}{125} * 25^x[/tex]

Step-by-step explanation:

Given

[tex]f(x)=3*5^{2x-3}[/tex]

Required

To determine if it is an exponential function, we have to write in form of

[tex]f(x) = ab^x[/tex]

If we're able to do so, then the function is an exponential function.

If otherwise, then it is not

[tex]f(x)=3*5^{2x-3}[/tex]

Apply Law of indices

[tex]f(x)=3*\frac{5^{2x}}{5^3}[/tex]

Express 5^3 as 125

[tex]f(x)=3*\frac{5^{2x}}{125}[/tex]

Factorize the exponent of 5

[tex]f(x)=3*\frac{5^{(2)x}}{125}[/tex]

Express 5^2 as 25

[tex]f(x)=3*\frac{25^x}{125}[/tex]

This can be rewritten as:

[tex]f(x)=\frac{3}{125} * 25^x[/tex]

By comparing the above to [tex]f(x) = ab^x[/tex]

We have that

[tex]a = \frac{3}{125}[/tex]

[tex]b^x = 25^x[/tex]

Since, we've be able to express the function as [tex]f(x) = ab^x[/tex]

Then, [tex]f(x)=3*5^{2x-3}[/tex] is an exponential function

The expression in exponential form is expressed as [tex]g(x)=\frac{3}{125} \cdot 25^x[/tex]. Option C is correct.

Given the equation [tex]f(x) = 3\cdot 5^{2x-3}[/tex], we are to write in the form [tex]a(b)^x[/tex]

Simplifying the given expression, we will have:

[tex]g(x) = 3\cdot 5^{2x-3}\\g(x) = 3\cdot 5^{2x} \cdot 5^{-3}\\g(x) =\frac{3}{5^3}\cdot (5^2)^x\\g(x)=\frac{3}{125} \cdot 25^x[/tex]

Hence the expression in exponential form is expressed as [tex]g(x)=\frac{3}{125} \cdot 25^x[/tex]

Learn more here: https://brainly.com/question/19742435

Answer:

slope (m)= 1/2

y-intercept: (0, -1)

equation: y=[tex]\frac{1}{2}[/tex]x-1

Step-by-step explanation:

slope is [tex]\frac{rise}{run\\}[/tex]=[tex]\frac{1}{2}[/tex]

y-intercept is where the line crosses the vertical axis (y-axis) so its (0, -1)

using point slope form:

y-y1=m(x-x1)

y-(-1)=1/2(x-0)

y+1=1/2x

y=[tex]\frac{1}{2}[/tex]x-1

Answer:

b

Step-by-step explanation:

Answer:

charlie is the one,im pretty sure

Answer:

Step-by-step explanation:-109.3=t-184.9

T=75.6

Answer:

[tex]4^{7}[/tex]

Step-by-step explanation:

To simplify the expression [tex]4^{4}\times4^{3}[/tex], we can use the first law of the law of indices which states that the exponent is added together when multiplying numbers with the same base. Eg: [tex]a^{x}\times a^{y} = a^{x+y}[/tex].

[tex]4^4 \times4^3=4^{4+3}[/tex]

[tex]=4^{7}[/tex]

Hope this helps :)

Answer:

110

Step-by-step explanation:

Each date has 11 choices (10 events, 1 blank) so multiply by 10 to get 110.

Answer:

You would earn $637

Equation: (4,800x6.5%)+325

Step-by-step explanation:

6.5%= 0.065

So 4800 times 0.065 is 312.

Then you add 312 to the weekly salary of 325

325+312= 637

Answer:

eftrgrqg54y

Step-by-step explanation:

Answer:

24.5 feet i think

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

Answer:

For C all she has to do is look at the chart-

0=0

1=4

2=8

3=12

4=16

Answer:

miles driven by sam =215 miles

Miles driven by Tony =  305 miles.

Step-by-step explanation:

Let the miles driven by sam is x

given that Tony drove 90 miles more than sam

miles driven by Tony  = miles driven by sam + 90 = x + 90

Total miles driven by them together

= miles driven by Tony + miles driven by sam = x + 90 + x = 2x + 90

given

Tony and Sam are sharing the driving on a 520-mile trip

2x + 90  = 520

2x = 520 - 90 = 430

x = 430/2 = 215

Thus,

miles driven by sam = x = 215 miles

Miles driven by Tony = x + 90 = 215 + 90 = 305 miles.

Answer:

guitarist a&b I often their service to throne but each guitarist charge different intentional feeds and hourly rates how can the throne check to see when they will charge the same amount of money named three ways to perform this task answer

Answer:

C

Step-by-step explanation:

Given the 2 equations

y = [tex]\frac{1}{3}[/tex] x + 2 → (1)

- x + 3y = 6 → (2)

Substitute y = [tex]\frac{1}{3}[/tex] x + 2 into (2)

- x + 3([tex]\frac{1}{3}[/tex] x + 2) = 6 ← distribute left side

- x + x + 6 = 6, that is

6 = 6 ← True

This statement indicates the system has infinitely many solutions

The given system of equations has infinitely many solutions.

We have the following system of equations -

y = 1/3x + 2

–x + 3y = 6

We have -

- x + 3y = 6

x = 3y - 6

Then -

y = 1/3(3y - 6) + 2

y = y - 2 + 2

y = y

Therefore, the given system of equations has infinitely many solutions.

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Answer:

= $28.90

Step-by-step explanation:

Answer:

rrrrrrrrrrrrrrrrrrrrrwwwwwwwwwwwwwwwwww44444444444444wwwwwwwwwwwwww

Step-by-step explanation:

you are easydsssssdfewatg3

Answer:

18/125

Step-by-step explanation:

Answer:

x=15 and y=49

Step-by-step explanation:

y+16=5x-10

and (y+16) + (8x-5)=180

so y=5x-26 and then

plug in for y so 5x-26+16+8x-5=180

that means x=15

plug in for x

y+16= 5(15)-10

that means y=49

thanks for the brainliest!

Answer:

D. T= I/PR

Step-by-step explanation:

PRT are multiplyed so you divide PR to get T by itself.

Answer:

Income Linda make = $150

Step-by-step explanation:

Given:

y = 0.10x + 85

Assume;

Sales = $650

Find:

Income Linda make

Computation:

Income Linda make = 0.10x + 85

Income Linda make = 0.10(650) + 85

Income Linda make = 65 + 85

Income Linda make = $150

Answer:

B. BC=12, FH=9

Step-by-step explanation:

I guessed and it was right

Answer:

This is a function. Range is y is an element of all real numbers, or {yer} and domain is x is greater than or equal to -4, xer {x>=-4|xer}

Step-by-step explanation:

Answer:

- 4 < x ≤ 5

Step-by-step explanation:

The line is from - 4 to 5

The open circle at - 4 indicates that x cannot equal - 4

The closed circle at 5 indicates that x can equal 5

The inequality is then

- 4 < x ≤ 5

Answer:

543

Step-by-step explanation ITS 524

Answer:

2000007

Step-by-step explanation: