Is f(x)=3x5^2x-3 an exponential function? If so, write it in the form f(x)=ab^x

Is F(x)=3x5^2x-3 An Exponential Function? If So, Write It In The Form F(x)=ab^x

Answers

Answer 1

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

Answer 2

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]

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Related Questions

Which describes how to graph h(x)= –RootIndex 3 StartRoot x EndRoot + 3 using transformations of the parent function? Reflect over the horizontal axis, and then translate the graph right 3 units. Reflect over the horizontal axis, and then translate the graph up 3 units. Reflect over the vertical axis, and then translate right 3 units. Reflect over the vertical axis, and then translate up 3 units.

Answers

Reflect over the horizontal axis, and then translate the graph up 3 units

Answer: Reflect over the horizontal axis, and then translate the graph up 3 units.

help!!! which is the best buy?
12 oz for 3.55$
16 oz for 4.25
20 oz for 4.55?
HELP MEEEE

Answers

3.55 . Let me explain. If you take20 oz and divide it by the number of neutrons in 12 oz, 27,000 to be exact, you will get 10,000. Get 16 and divide it by the number of neutrons that are in 29 0z, and you have your answer.

What is the equation of this graphed line?

Answers

Answer:

[tex]y=-\frac{9}{8} x+7[/tex]

Step-by-step explanation:

The slope is found by doing the equation [tex]\frac{rise}{run}[/tex]. When looking at the first two points, it's shown that the rise (difference between the two y values) is -9 (since it decreased by 9) and the run (difference between the two x values) is 8 (since it increased by 8). This makes the slope equal [tex]-\frac{9}{8}[/tex].

The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 7.

The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!

yeah so can u help me​

Answers

I think it is f .............

Answer: 5 - 9 = -4

Step-by-step explanation:

So 0 represents your starting point. The arrow starting at 0 is going to the right, so it's adding. It ends at 5, so that means the problem begins with 5. The next arrow starts at 5, then goes back to -4, going back 9 spaces. So far we have 5 - 9. It all stops at -4, so that makes it 5 - 9 + -4.

In the figure shown, which theorem can be used to show that ABC = ADEF?

O A The triangles are not congruent.
OB SAS Triangle Congruence Theorem
OC AAS Triangle Congruence Theorem
OD ASA Triangle Congruence Theorem

Answers

Pick choice-C ... AAS.

When I learned Geometry (during the late Pleistocene epoch), I don't remember ever using AAS.

BUT ... If you know 2 angles of a triangle, then you know all three, because they all add up to 180.

So if you have AAS=A'A'S', then you also have ASA=A'A'S', which was a congruence theorem even way back then.

Ahhh the good old days. We rarely got any homework, because the teachers all knew that the clay tablets would ruin our backpacks.

Graph the inverse function of f(x) = 2x + 4.​

Answers

Answer:

Step-by-step explanation:

Answer:

Look at the graph, because I got it wrong I hope you guys get it! :)

Step-by-step explanation:

I AM BEING TIMED HELP!!!
What is one main objective in the study of economics?

recognizing the types of services available to everyone
recognizing the relationship between producers and consumers
recognizing the reasons why consumers supply services
recognizing the difference between producers and consumers

Answers

Answer:

C

Step-by-step explanation:

Can someone please answer the questions

Answers

Answer:A. Most cats were in the 7th month and least in the 1st. B. Looking at the graph is legit straight up lit facts. C. I cannot justify the correlation. D. Well we could just kill off all the cars and be down with them falling out the stupid window or we can get them smarter owners

Step-by-step explanation:

Please help!!!!!!!!!!!​

Answers

Answer:

6/72

Step-by-step explanation:

6/72 =0.0833333333

Answer: 2/9 X 3/8

NOW'

2  X 3   =   6   THIS IS THE ANSWER WHEN U MULTIPLY NOW AS PER

9      8        72

THE QUESTION WE NEED TO SIMPLIFY IT....

SOOOOOO LETS SEE FIRST IF WE CAN SIMPLIFY IT......

my method)

6/72 (lets divide num nd deno by 2)

3/36( Ahh! we cn simplify it further now divide by 3)

1/12

Other metthod

6/72 ( DIVIDE BY 6)

1/12

Step-by-step explanation:

for a given circle, find the value of x and y

Answers

Answer:

8

Step-by-step explanation:

hihihhhihihihihihihihihih

20 pointsBRAINLEST!!!!!!!!!! and PointsAfter an​ accident, police can use the formula v=25L to estimate the​ speed, v, in miles per​ hour, that a car was traveling by measuring the length of the skid​ marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 ​mi/h, was the car​ speeding? The speed of a car that left skid marks 118 ft long was about nothing ​mi/h.

Answers

The correct format of the question is

After an​ accident, police can use the formula [tex]v=2\sqrt{5L }[/tex] to estimate the​ speed, v, in miles per​ hour, that a car was traveling by measuring the length of the skid​ marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 ​mi/h, was the car​ speeding? The speed of a car that left skid marks 118 ft long was about nothing ​mi/h.

Answer:

48.6mi/h, Yes the car was speeding.

Step-by-step explanation:

The speed of the car is given by  [tex]v=2\sqrt{5L }[/tex]

Skid length (L) = 118ft

V= [tex]2\sqrt{5*118}[/tex]

  = 2 [tex]\sqrt{590}[/tex]  

  =  2*24.3

V = 48.6mi/h

Since the speed limit is 45mi/h and the velocity of this driver is 48.6mi/h it is clear that was speeding by 3.6mi/h over speed limit.

(I need to make sure)
Which pair of numbers has the greatest GCF?
A = 140 and 210
B = 130 and 390
C = 240 and 320
D = 550 and 880

Answers

i think it’s C not completely sure tho

The dimensions for a rectangular or prism are x + 5 for length, x+ 3 for width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form.

Answers

Answer:

x^3 +8x^2 +15x

Step-by-step explanation:

(x+5)(x+3)(x)

foil:

x^2+8x+15 (x)

x^3+8x^2+15x

For each equation, determine whether it has no solutions, exactly one solution, or is true for all values of x (and has infinitely many solutions). If an equation has one solution, solve to find the value of x that makes the statement true.
6 x + 8 = 7 x + 13
6 x + 8 = 2 ( 3 x + 4 )
6 x + 8 = 6 x + 13

Answers

1. 6x + 8 = 7x + 13
8 = x + 13
x = -5
This has exactly one solution

2. 6x + 8 = 6x + 8
True for all values of x

3. 6x + 8 = 6x + 13
8 = 13
No solution

Answer:

Equation 1 has exactly one solution.Equation 2 has infinitely many solutions.Equation 3 has no solution.

Step-by-step explanation:

We are given three equations to solve. First, let's solve the equations for x.

Equation 1

[tex]\displaystyle{6x+8=7x+13}\\\\7x + 13 = 6x + 8\\\\x + 13 = 8\\\\\bold{x = -5}[/tex]

Therefore, we determined that for the first equation, x = -5. We can check our solution by substituting it back into the original equation.

[tex]\displaystyle{6(-5)+8=7(-5)+13}\\\\-30 + 8 = -35 + 13\\\\-22 = -22 \ \checkmark[/tex]

Since we got a true statement, there are no other values of x for which we get a true statement. Let's test this with the opposite value: positive 5.

[tex]6(5)+8=7(5)+13\\\\30 + 8 = 35 + 13\\\\38 = 48 \ \text{X}[/tex]

Therefore, for Equation 1, there is exactly one solution.

Equation 2

[tex]6 x + 8 = 2 ( 3 x + 4 )\\\\6x + 8 = 6x + 8\\\\0 + 8 = 8\\\\8 = 8 \ \checkmark[/tex]

We get a true statement by solving for x (which ends up canceling out of the equation entirely). Therefore, we can check any value in place of x to see if we get a true statement. For this instance, I will use -3.

[tex]6(-3) + 8 = 2 ( 3(-3) + 4 )\\\\-18 + 8 = 2(-9+4)\\\\-18 + 8 = 2(-5)\\\\-18 + 8 = -10\\\\-18 = -18 \ \checkmark[/tex]

We still get a true statement, so Equation 2 has infinitely many solutions.

Equation 3

[tex]6 x + 8 = 6 x + 13\\\\0 + 8 = 13\\\\8 \neq 13[/tex]

We get a false statement. Therefore, Equation 3 has no solution.

Find the square root of
144

Answers

the square root of 144 is 12

Answer: 12 is the square root of 144

Step-by-step explanation:

chemical formula for lithium bromide

Answers

Answer:

The molecular or chemical formula of Lithium Bromide is LiBr. Lithium Monobromide is synthesized by treating lithium carbonate (Li2CO3) with hydrobromic acid (HBr). The salt forms cubic crystals which are similar to sodium chloride.

Step-by-step explanation:

hope this helped:)

Answer:

lithium bromide is a chemical compound of lithium and bromine

Step-by-step explanation:

Br-Li+

solve for x : 4 (1 - x) + 2x = -3 (x+1)

Answers

Answer: x=-7

Step-by-step explanation:

Which statement(s) could be used in a proof with the reason CPCTC after proving ΔABC≅ΔEFG? (Check all that apply) *
AC ≅ EG
AB ll EF
BC ≅ FG
∠BCA ≅ ∠FGE
∠CBA ≅ ∠GEF

Answers

Answer:

The statements(s) that could be used in a proof with the reason Corresponding Parts of Congruent Triangles are Congruent (CPCTC) are;

AC ≅ EG

BC ≅ FG

∠CBA ≅ ∠GEF

Step-by-step explanation:

CPCTC is a phrase that stands for Corresponding Parts of Congruent Triangles are Congruent. It can be used as a bases for congruent relationships of corresponding angles and segments, after two triangles have been proven as congruent

Given ΔABC is congruent to ΔEFG, we have by CPCTC;

Side AB ≅ Side EF

Side AC ≅ Side EG

Side BC ≅ Side FG

∠A ≅ ∠E

∠B ≅ ∠F

∠C ≅ ∠G.

As an estimation we are told 5 miles is 8 km.
Convert 24 km to miles.

Answers

Answer:

15

Step-by-step explanation:

24*5=120 / 8 = 15

15 is answer.

will give brainliest!!! hurry up and solve it plzz​

Answers

Answer:

8

Step-by-step explanation:

we can say that AD is congruent to DC

so your equation for x is: 4x - 1 = 2x

solve this to get x = 0.5

plug x into and equation and multiply you answer by 2 to find the hypotenuse of triangle ABC and DEF

4(0.5) - 1 = 1

hypotenuse: 1 x 2 = 2

since we know x is 0.5, plug this into 4x + 1 to find the length of the leg FE,

4(0.5) + 1 = 3

In the diagram, it shows that the legs of triangle are congruent

this means that FE, ED, BA, and BC are all congruent

since we know FE is 3, we know that all the other sides are 3 as well

this means that the perimeter of the triangle is: leg + leg + hypotenuse

so 3 + 3 + 2

the perimeter is 8

please help me show work

Answers

Answer:

x=6°z=64°

Step-by-step explanation:

15x+26 + 5x+34 =180

20x + 60 =180

20x=120

x=6

z + 15(6) +26=180

z=180-26-90=180-116

z=64

hope it helps:)

Item 19
Write the word sentence as an equation. Then solve.

The sum of a number y and −3 is −8.

Equation:

Solution: y=

Answers

equation: y + (-3) = -8

solution: y = -5

Answer:

The answer is

Equation: y+-3=-8

Solution: y= -5

Step-by-step explanation:

Hope this helps!

Geoff has had, for a long time, a savings account with an annual interest rate of 3.65%. Now, however, the bank wants to change his rate to 0.3% monthly. Should Geoff accept this change?

Answers

Answer:

No

Step-by-step explanation:

He will lose 0,05% of the profit

12 x 0,3 = 3,6

3,6 - 3,65 = -0,05

PLEASE HELP!! IM ON A TIME LIMIT!!

Answers

Answer:

1/6

Step-by-step explanation:

what is the value of this expression below when z=3
10z^2-2z-2

Answers

Answer:

82

Step-by-step explanation:

10z^2-2z-2

10x3^2-2x3-2

90-6-2

90-8

82

Answer:

82

Step-by-step explanation:

Evaluate 10z² - 2z - 2 where z = 3:

[tex] \longrightarrow [/tex] 10z² - 2z - 2 = 10 × 3² - 2 × 3 - 2

3² = 9:

[tex] \longrightarrow [/tex] 10 × 9 - 2 × 3 - 2

10 × 9 = 90:

[tex] \longrightarrow [/tex] 90 - 2 × 3 - 2

-2 × 3 = -6:

[tex] \longrightarrow [/tex] 90 - 6 - 2

90 - 6 - 2 = 90 - (6 + 2):

[tex] \longrightarrow [/tex] 90 - (6 + 2)

6 + 2 = 8:

[tex] \longrightarrow [/tex] 90 - 8

[tex] \longrightarrow [/tex] 82

Q1. A fluorescent lamp takes in energy from the electricity supply at the rate of 18 joules each second. It gives out 3 joules of energy as light each second.
a. How much energy does the lamp give out each second?

Answers

Answer:

15 joules

Step-by-step explanation:

SUBTRACT 3 FROM 18

18 JOULES-3 JOULES=15 JOULES

HOPE IT HELPS

Help plz plz plz plz

Answers

Answer:

.4 and it terminates

Step-by-step explanation:

Answer:

red

Step-by-step explanation:

subtract 11 from 111 in base two​

Answers

Answer:

11-111=0b1100100

Can someone help me with this ??

Answers

105 that is the answer

4x + 5y = 30
5x + 3y = 31

Answers

Answer:

y=2

x=5

trust me its by calculator

Answer:

x=5

y=2 true......

Step-by-step explanation:

.............

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