Which of the following is a function equivalent to f(x) = 3(1. 7)4x? f(x) = 25. 06x f(x) = 3(8. 35)x f(x) = 3(8. 25x) f(x) = 487. 97x.

Answers

Answer 1

The correct equivalent function can be found by using exponent rule.

The correct option is [tex]f(x)=3(8.35^x)[/tex].

Given:

The given expression is as follows,

[tex]f(x)=3(1.7)^{4x}[/tex]

Write the exponent rule.

[tex]a^{mn}=(a^m)^n[/tex]

To simplify the given expression apply the exponent rule.

[tex]f(x)=3(1.7)^{4x}\\f(x)=3(1.7^4)^x[/tex]

Using calculator find the value of [tex]1.7^4[/tex].

[tex]f(x)=3(1.7^4)^x\\f(x)=3(8.35)^x\\f(x)=3(8.35^x)[/tex]

Thus, the correct option is [tex]f(x)=3(8.35^x)[/tex].

Learn more about exponent rule here:

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Related Questions

Your friend confides in you and tells you that his mom has HIV. explain what you would do to show how would use the empathy skill you just learn to empathize with your friend and his mom?

no link please​

Answers

Answer:

You should support him or her

Step-by-step explanation:

Answer:1. Do not go near the mom

2 stay your distance from your friend

3 just say u feel bad for them

4 check your self for the disease

Step-by-step explanation:

In this task, you will use the linear data from Task 1 to compare the linear functions.

Answers

Answer: Part A. Olivia- y=x+4 Camille- idr.k but it increases by 1/2 ever time

Part B. The slope represents the rate of change and the y-intercept indicates the value of y when x is 0.

Part C. Olivia's puppy weighed the most. It weighed 5 pounds.

Part D. Camille's puppy only gained 1/2 a pound each week.

Step-by-step explanation:

URGENT! WILL MARK BRAINLIEST!!

Write an inequality that represents the graph.

(it’s #4)

Answers

x>2

Hope this helps! :)
Answer:
y > 2

Explanation:

- The dot is open, indicating that the inequality symbol must be greater than or less than (nothing with equal too).

- Since the graph is shaded to the right, that would mean that the inequality symbol would be greater than (>)

- The dot is placed at the value 2, therefore the solutions to the inequality would be all numbers greater than 2, or y > 2

Hope that helped!

What is the slope of a line that is perpendicular to the line y = 1?
O-1
ОО
O 1
O undefined

Answers

Answer:  D)   Undefined

Explanation:

The equation y = 1 is the same as y = 0x+1

Match that to the form y = mx+b to see that the slope is m = 0

Any horizontal line has a slope of 0.

Notice that we cannot apply the negative reciprocal to this because 0 = 0/1 leads to 1/0 which is undefined

The slope of any vertical line is undefined because we have run = 0 and slope = rise/run = 1/0. The rise can be any number you want (it doesn't have to be 1) and we get the same result.

The slope of a line that is perpendicular to the line y = 1 is undefined.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The equation y = 1 is the same as y = 0x+1

Match that to the form y = mx+b to see that the slope is m = 0

Any horizontal line has a slope of 0.

y = 1 is an vertical line.

The slope of any vertical line is undefined because we have run = 0 and slope = rise/run = 1/0.

= Undefined

Hence,  the slope of a line that is perpendicular to the line y = 1 is undefined.

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What is the value of x?

Answers

Answer:

I am not sure the answer is , if its minus ,divade ,multiply or plus but down the answer is correct

Step-by-step explanation:

17x - 75

× = 75÷17

x= 4.4117647059

The Williams merch team earned 8,000 on mask sales and will earn 4 for each T-shirt they sell. Their goal is to earn 12,000 on today’s sales. Write an inequality to determine the number, t, of t-shirts the merch team could sell to earn their goal.

Answers

Answer:

[tex]12,000\geq 4t+8,000[/tex]

Step-by-step explanation:

-3(8+j)=-16+5j
HELP ASAP NEED THIS DONE TONIGHT BEFORE MIDNIGHT

Answers

Answer:

  j = -1

Step-by-step explanation:

Eliminate parentheses:

  -24 -3j = -16 +5j

Add 3j+16

  -8 = 8j

Divide by the coefficient of j.

  -1 = j

[tex]\rm⇢ \: \: - 3(8 + j) = - 16 + 5j[/tex]

[tex]\rm⇢ \: \: - 24 - 3j = - 16 + 5j[/tex]

[tex]\rm⇢ \: \: 5j + 3j = - 24 + 16[/tex]

[tex]\rm⇢ \: \: 8j = - 8[/tex]

[tex]\rm⇢ \: \: j = - 1[/tex]

last question for this assiment​

Answers

Answer:

B. Distinct Parallel lines.

Step-by-step explanation:

Find the area of the shape shown below.

Answers

Answer:

28

Step-by-step explanation:

what is the constant proprotionality in the equation y =7x

Answers

Answer:

7

Step-by-step explanation:

y=kx is the general formula for direct proportion where k is the constant. In your equation instead of k there is 7 so 7 is the constant.

If the sum of difference of 13 and 4 divided 64 and 8 is subtracted from the result. Find that number. Mathematical equation plz.​

Answers

Answer:

13+4=17,17/64=3-8=-5

Step-by-step explanation:

this is the solution

Step-by-step explanation:

Let x be the number subtracted from 13 such that the difference is 13-x

divide that resulting difference by 11, then it becomes (13 - x) / 11

Multiply the quotient by 8 then the expression becomes ((13-x)/11)^ * 8

the product comes to 8 then ((13-x)/ 11)^ * 8=8 solve the equation divide

both sides by 8, then (13 - x) / 11 = 1 cross multiply 13 - x = 11 add -13 to both sides - 13 + 13 - x = 11 - 13, - x = - 2 . x = 2 Therefore the number is 2

Find the equation of the line passing through the points (0,7) and (5,-3).

Answers

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )

m = [tex]\frac{-3-7}{5-0}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 2x + 7 ← equation of line

Solve w + 1∕4 < 7∕8.
Question 10 options:

A)

w < 5∕8

B)

w = 5∕8

C)

w > 5∕8


D)

w ≤ 5∕8

Answers

Answer:

w < 5/8

Step-by-step explanation:

help!!!!!!!!! I need help​

Answers

Answer:

  x = 60 cm

Step-by-step explanation:

If we assume the figures are similar, then corresponding sides are proportional.

  x/36 = 35/21

  x = 36(35/21) = 60 . . . . cm

_____

You can consider the ratios of side lengths. Shortest to longest, they are ...

  7 : 9 : 12 = 21 : 27 : 36 = 35 : 45 : 60

The smaller figure is 3 times the basic ratio; the larger figure is 5 times the basic ratio.

what value is equivalent to 5^2 x 5^2 A20 B425 C625 D80​

Answers

C. 5^2 is 25 so 25x25=625

Every day after school, Albert and his sister Valentina play their favorite video game, Wizarding Legends. The goal of the game is to earn power points by defeating goblins. There is a proportional relationship between the number of goblins defeated, x, and the number of power points earned, y.

Answers

Answer:

So um what's the question?

Step-by-step explanation:

Write the following equation in standard form:`X^{2}+6X=-2`

Answers

Answer:

[tex]x^2 +6x +2=0[/tex]

Step-by-step explanation:

What is the slope of the line?

Answers

-8/5 is the slope of the line

With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h

Answers

Answer:

B

Step-by-step explanation:

128/2=64 mph

(the rate)

2 hr= 120 min

so.. 120-24= 96

and with the wind speed is r-c and without it is r+c because your going against the wind.

One week Roger earned $425.50 regular pay and $60.50 overtime pay. His net pay for the week was $275.30. How much did he have withheld for deductions?

Answers

Answer:

He had $210.7 withheld for deductions

Step-by-step explanation:

Add his regular pay to his overtime pay

$425.50 + $60.50 = $486

After adding both his overtime and regular pay, he'd have $486. Now, take that and subtract his net pay

$486 - $275.30 = $210.7 :)

Does anyone know or understand how to do this?

Answers

Answer:

32 degrees

Step-by-step explanation:

lets assume a point K on top of M and giving the the measure of <KMN  = 90 degree.

let LMP be x

KML = 90 - 79 = 11

x =  90-11-47 = 32

thus, <LMP is 32 degrees

first to solve right get brainlest

Answers

Answer: I worked at the pizza place in Chucky cheese since i was little. I grew up and became manager. Then i sabotaged everyone there. I’m gonna cry right now . miss that job so much. I think I might….

A triangle has sides with lengths of 7 kilometers, 14 kilometers, and 19 kilometers. Is it a right triangle?

Answers

Answer: No

Explanation: According to me, if you use the pythagorean formula which includes the formula of a right triangle. If you hold 7 and 14then the resulted length should have been 15. And if you place different positions like that, then none of the length comes the same so we can conclude that none of the sides have a right angle. However there is a possibility to have a right angle in a scalene triangle but it is unlikely here or most probably no.

This diagram shows right rectangular ABCDEFGH. It also shows EB and HB.

Find the length of each diagonal shown in the diagram. If necessary, round your answers to the nearest tenth.

Answers

Answer:

17

18.4

Step-by-step explanation:

c² = a² + b²

EB² = 15² + 8²

EB = 17 cm

c² = a² + b²

HB² = HE² + EB²

HB² = 7² + 17²

HB² = 338

HB = 18.4 cm

Tire King is having a sale where customers can buy 4 new tires for $ 319.96 . What is the unit price of the tires?

Answers

Answer:

each tire is 79.99

Step-by-step explanation:

Answer:

$79.99

Step-by-step explanation:

Eight times a number increased by 4 times the number is less than 36. What is the number? . logo thon 13 then find the​

Answers

Answer:

36

Step-by-step explanation:

First, you subtract 4 by 36 which is 32. Then, divide 32 by 8 which equals 4 therefore the answer is 36.

A swimming pool is 20 feet wide and 40 feet long. If it is surrounded by a walkway of square tiles, each is 1 foot by 1 foot, how much area do the pool and walkway cover?

Answers

Answer:

124 tiles

Step-by-step explanation:

2(20+40)

2(60)

120+4=124

At the craft store, Franklin bought a bag of red and brown marbles. He received 33 red marbles and 67 brown marbles. What percentage of the marbles were red?

Answers

Answer:

33% of the marbles were red

Can someone please help? :(

Answers

Answer:

with what?

Step-by-step explanation:

Answer:

what do you need help with :p

Step-by-step explanation:

Use the scale to help you solve the equation.​

Answers

The answer to your question is C. The second scale has 9. The other scale has 4. You need to subtract 9 and 4. 9-4=5
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