For exponential functions of the form f(x)=a^x, which of the following expressions is equal to [f(b)]^c?

Answers

Answer 1

The expression that is equal to exponential function [tex][f(b)]^c[/tex] is [tex]a^{bc}[/tex]

How to determine the equivalent expression?

The equation of the exponential function is given as:

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

Substitute b for x

[tex]f(b) = a^b[/tex]

Take the exponent of both sides to the power of c

[tex][f(b)]^c = (a^b)^c[/tex]

Apply the law of indices

[tex][f(b)]^c = a^{bc}[/tex]

Hence, the expression that is equal to exponential function [tex][f(b)]^c[/tex] is [tex]a^{bc}[/tex]

Read more about exponential functions at:

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Related Questions

1) Mrs. Clason wants to buy a wireless speaker for her husband. She has narrowed down her choice to two stores:

• Kohls is selling the speaker for $60.00. Mrs. Clason has a Friends and Family discount coupon for 30% off.

• Target purchased the speaker for $38.00 and marked it up by 35% to sell in the store

2) How much would Mrs. Clason be paying for the speaker at Kohl’s? Show your work!

3) Which store would Mrs. Clason get the best deal and by how much is it better? Show

How much would Mrs. Clason pay for this speaker at Target? Show your work

Answers

Answer:

Kohl = $42

Target = $51.30

Best deal is at Kohl's

Step-by-step explanation:

Given ;

At Kohl's:

Selling price = $60

Friend's and family discount = 30% off

(100 - 30)% * $60

0.7 * 60 = $42

At target :

Purchase price = $38

Markup = 35%

Selling price = (100 + 35)% * $38 = 1.35 * 38 = $51.3

Mrs. Clason will get the best deal at Kohl's.

What’s twenty-six and thirty-four hundredths in standard form?

Answers

Answer:

that would be 2.64

Step-by-step explanation:

It will be 26.34 :)

find the value of -12.8-88.2​

Answers

Answer:

-101

Step-by-step explanation:

Answer:

-101

Step-by-step explanation:

-12.8-88.2 is equal to -101

What value of x is in the solution set of 2x-3>11 - 5x?

Answers

Answer:

3. 2 or x=2

Step-by-step explanation:

I put your question into a math calculator and this was the answer. Good luck!

Which expression is equivalent to 5st + 40t

Answers

Answer: 5(1st+8t)

Step-by-step explanation:You factor 5st + 40t  using GCF .And the GCF of 5 and 40 is 5 .So you take 5st and you divide it by 5 and also you take 40 t and divide it by 5 too.And after you take 5st and you divide it by 5 ,you get 1 st .To add on,after you take 40 t and divide it by 5 you get 8t .Finally ,you take the GCF which is 5 and place  Parentheses next to it and you take 1st and 8t and you add them together .

So your expression that is equivalent to 5st + 40t ,is 5(1st+8t) .

Hope it help :)and You are welcome .

what is the y-intercept of the graph of the equation y=1/4x-2/3

Answers

Answer: -2/3 would be your answer my guy, hope that this helps you

Step-by-step explanation:

It is a linear equation or y=mx+b, the y-intercept is b which is -2/3

Answer:

-2/3

Step-by-step explanation:

in a linear equation, in slope-intercept form, y=mx+b, m is the slope, b is the y-intercept

Plsss help ASAP the semester is about to end and I have to finish so many assignments

Answers

Answer:

f(15,055) is the number of pages in a book with 15,055 words.

Step-by-step explanation:

f(w) = length of book (in pages).

w = number of words

Thus, from the options given, the only true statement about the function is that:

f(15,055) = number of pages of a book that has 15,055 words.

"f(15,055)" is the length of a book consisting of 15,055 words. It does not imply that there are 15,055 pages.

kazito sold an item for sh 4950 and made a 12 ¹/2profit.what was the cost price of the item?​

Answers

Selling price = Sh 4950 , % profit = 12.5%, Cost price = ?

Selling Price / Cost price = 100 + rate/100

Sh 4950/Cost Price = 112.5/100

112.5 Cost Price = 4,95,000

Cost Price = Sh 4,400

1.- OBTENER LA ECUACION DE LA CIRCUNFERENCIA, QUE PASA POR EL PUNTO,
P (0,-2) , DE RADIO R= 4 cm , Y CUYO CENTRO, SE ENCUENTRA SOBRE
LA RECTA x - y = 6 . GRAFICAR.

Answers

Answer:

i dont speak that language l m a o

Step-by-step explanation:

The graph of f(x) = 2x+3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x - k. What is the value of k? (1 point)
a
3
7
Ob
Ос
10
Od
13

Answers

Answer:

more context please :)

Step-by-step explanation:

Answer:

more context please

Step-by-step explanation:

helpppp nowww plsss!!!

Answers

Answer: See explanation

Step-by-step explanation:

Multiples of 3: 3, 6, 9, 12, 15, 18

Multiples of 6: 6, 12, 18, 24, 30

The least common denominator is 6

1/3 can be rewritten as 2/6  and 4/6 can be rewritten as 4/6

Hope this helped!

How do you work out the size of angle x ?

Answers

Answer:

121°

Step-by-step explanation:

360-304=56

180-115=65

56+65=121

180-121=59

180-59=121°

Please help will give brainliest

Answers

Answer: A. 12^2

Step-by-step explanation: Follow PEMDAS

can u pls help me with this question asap ​

Answers

The answer is $527.912

Please help!! Giving brainlist

Answers

Answer:

1. sun

2.  gravity

3.Atmosphere

4. Hydrosphere

5.  Run off

Step-by-step explanation:

Evaluate

π

π
cos
2
(
5
x
)
d
x
.

Answers

Answer:

[tex] _{ - \pi} \int ^{\pi} \cos(2(5x) dx = _{ - \pi} \int ^{\pi} \cos(10x) dx \\ let \: 10x \: be \: u \\ \frac{d(10x)}{dx} = du \\ dx = \frac{du}{10} \\ignore \: limits \\ _{ - \pi} \int ^{\pi} \cos(2(5x) dx = \int \cos(u) \frac{du}{10} \\ = \frac{1}{10} \sin(u) + c \\ substitute \: for \: u \\ = \frac{1}{10} \sin(10x) |^{\pi} _{ - \pi} \\ = \frac{1}{10} (( \sin(10\pi) - ( \sin( -10 \pi) ) \\ [/tex]

HURRY I ONLY NEED AWSER

Answers

Answer:

x = 38

Step-by-step explanation:

Angles KLO and OLM form a linear pair.

Angles NMO and OML form a linear pair.

180 - 134 + 180 - 84 + x = 180

x + 142 = 180

x = 38

the answer is 38. 180-134=46, 180-84=96, 46+96=142. 180-142=38.

Solve please, thank you!

Answers

Answer:

c=8

Step-by-step explanation:

It would be 8
Because you cross multiply
56=7*x =7*x=57 which x=8

Hope this helps

Have a great day/night

16. Solve the linear equation.

12x– 2 = 2x + 18

Answers

Answer:

x=2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x=2

Step-by-step explanation:

Use order of operations and isolate the variable.

Hope this helps! (sorry I'm really bad at explaining things).

WRITE AN EXPRESSION FOR 3 MORE THAN X ​

Answers

Answer:

x+3

Step-by-step explanation:

If it says "more" than its probably talking about addition

Answer:

X+3       :)

Step-by-step explanation:

FREE BRAINLIEST. PLEASE ANSWER STEPBY STEP 1. 2. 3.

Answers

Answer:

8

Step-by-step explanation:

First do whats in the parenthesis:

(8+18/9)

Using PEMDAS again, we do the division first:

(8+2)

Now addition:

(10)

Now subtraction:

(10)-2

8

Pls anserw I give branilst to who ever Anserw first

Answers

Answer:

Quadrilateral and trapezoid are the only ones.

Step-by-step explanation:

Only one set of lines are parallel, making it a trapezoid. It cannot be a parallelogram or anything else, as those all have 2 pairs of parallel lines.

To add on, it has 4 sides, making it a quadrilateral as well.

Hope you understood and have a nice day!! :D

Jodie bought a refrigerator on sale for 35% off the original price, for $97. What was the price of the refrigerator before the sale?

Answers

$97 = (Original Price) - (35% of Original Price)

$97 = (Original Price) - (0.35 of Original Price)

$97 = (1 - 0.35) of (Original Price)

$97 = (0.65) of (Original Price)

$97 = 0.65 · (Original Price)

Divide each side by 0.65 .

$97/0.65 = Original Price

$149.23 = Original Price

There are 7 red marbles and 9 blue marbles in a bag. What is the ratio of all marbles in the bag to blue marbles? What is the ratio of red marbles to blue marbles?

Answers

Answer:

Answer to the 1st question is: 16/9 or 16:9 (whichever form you use)

Answer to the 2nd question is: 7/9 or 7:9

Step-by-step explanation:

Key skills needed: Number theory, Ratios, and Fractions

1) Let's look at the first question. A ratio is usually a number of something over a number of another thing. One such example is 5 apples : 4 oranges (or 5 apples/ 4 oranges - whichever form you write in).

Based on that let's look at the first problem. We want to find the ratio of all the marbles in the bag to the blue marbles. So it would be --> the total # of marbles over the number of blue marbles. The total number of marbles is 7+9= 16. This would be our first number, or the numerator. The number of blue marbles is 9. This would be our 2nd number, or the denominator of the ratio.With this information --> The ratio would be 16/9 or 16:9                                              

2) Now let's look at the 2nd question. The number of red marbles to the number of blue marbles is the ratio we need to find.  

The number of red marbles is 7. This would be our first number or the numerator. The number of blue marbles is 9. This would be our second number or the denominator. Therefore, the ratio would be --> 7/9 or 7:9

Hope you understood and have a nice day!! :D


Are the following rates equivalent
12 pages in 20 minutes
20 pages in 32 minutes

Answers

Answer:

If your round to the nearest tenth then yes, but otherwise no

Step-by-step explanation:

Answer:These are not equal

Step-by-step explanation:

12/20= 6/10=3/5

20/32=10/6=5/8

5/8x5= 25/40

3x5x8=28/40

Which expression is equivalent to 24 + 64?
1) 8(3 +64)
2) 8(16 + 56)
3) 8(3+ 8)
4) 8(16 + 64)

Answers

3. 8(3+8)


Explanation : 8x3 = 24 + 8x8 =64 which is congruent to 24 +64

Whats the action “verb of the boy runs into the woods”? Please help

Answers

Answer:

the boy runs onto the woods

Step-by-step explanation:

verb: a word that describes an action

so the answer is runs

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!
Two friends worked out on treadmills at the gym.

Alden walked 2 miles in hour.
Kira walked 1 miles in 30 minutes.

Who walked at a faster rate?

Answers

Well, both Alden and Kira walked at the same rate.
The reason for that is because 2 miles : an hour is the same thing as 1 mile : half an hour.
For example, when you take 2 miles : an hour and you divide them by half or two, you get the answer of 1 mile : half an hour or 30 minutes.
So, in conclusion, both Alden and Kira walked at the same rate.
Glad I could help and have a fantastic day!
Also, can you please mark my answer as the brainliest answer?
Thanks.

Bobby set a goal to earn $1500 in commission in June. He earns 10% commission for all of his sales. How much merchandise will he have to sell to meet his goal?

Answers

Answer:

he has to sell 150!

Step-by-step explanation:

1500 divided by 10% = 150!

Which equation represents the sentence?
The sum of five times a number and seven is equal to twelve.
O A) 5n + 7 = 12
O B) 5( + 7) = 12
O c) (50)7 = 12
O D) 5 + nH2 = 12

Answers

Answer:

Step-by-step explanation:

Option A is the correct answer

Two expressions with equal sign is equation. The sum of five times a number and seven is equal to twelve" to equation is written in equation as  5n + 7 = 12. Option A is correct.

What is Equation?

Two expressions with equal sign is called as equation.

We need to change the sentence "The sum of five times a number and seven is equal to twelve" to equation.

In the equation, times represent multiplication and sum represents addition.

five times a number=5n

The sum of five times a number and seven= 5n+7

The sum of five times a number and seven is equal to twelve=5n+7=12.

Therefore option A is correct. The sum of five times a number and seven is equal to twelve is 5n + 7 = 12

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