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:

https://brainly.com/question/2254060


Related Questions

2x-6y= 12 3y=x+6 how many solutions does this problem have? No solution, one solution, or infinite solutions

Answers

Ok done. Thank to me:>

Andy spent $46.96 at the grocery store. The cashier gave him $2.97 in charge from a $50 bill. How much change should the cashier have given Andy

Answers

Answer:

Option C- $3.05

Step-by-step explanation:

50 - 46.95 = 3.05.

help please??????????​

Answers

Answer:

D. 4+2 = 2+4

Step-by-step explanation:

Commutative property of addition states that the answer does not change when you change the order of the equation.

Example:

a+b = b+a

Hope this helps! Have a great day!

Answer: 4+2=2+4

Step-by-step explanation:

Commutative property of addition states that the answer does not change when you change the order of the equation.

Example:

a+b = b+a

100% correct

Simplify (x-4) (x^2 + 3x + 2)

Answers

Answer:

x^3-x^2-10x-8

Multiply each term in the first expression by each term in the second expression and combine like terms.

Please help! I'm so stuck!
Asap!!

Answers

Answer: $6.4

Explanation 0.2(80) - 0.12(80)

justin bieber is white

equation of the line (6,10) , (-3,-2)

Answers

The equation for this line is y=1.3x+2

Answer:

[tex]y=\frac{4}{3}x+2[/tex]

Step-by-step explanation:

using two points you can find the slope of the line using the formula [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

plugging in the x- and y- values into the equation above, you'll get:

[tex]m=\frac{-2-10}{-3-6}=\frac{-12}{-9}=\frac{4}{3}[/tex]

so far, you have [tex]y = \frac{4}{3}x+b[/tex]

using any of the two points, you can solve for b. in this case, the point (-3, -2) is used.

[tex]-2=\frac{4}{3}(-3)+b\\-2=-4+b\\-2+4=-4+b+4\\2=b[/tex]

the overall equation is [tex]y=\frac{4}{3}x+2[/tex]

The function f(x) is shown in this graph.
5
(0,2)
The function g(x) = -3x - 6. Compare the slopes,
Help plz

Answers

Answer:

The slopes are equal

Step-by-step explanation:

Calculate the slope m of f(x) using the slope formula

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

with (x₁, y₁ ) = (- 1, 5) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-5}{0-(-1)}[/tex] = [tex]\frac{-3}{0+1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3

The equation of a line in slope- intercept form is

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

g(x) = - 3x - 6 ← is in slope- intercept form

with slope m = - 3

Then the slopes of f(x) and g(x) are equal, meaning the lines are parallel

simply the expresstion: 5+8 (3 + x )

Answers

The answer is going to be 8x+29

Answer:

29+8x

Step-by-step explanation:

5+8(3+x)

Expand 8(3+x)

= 5+24+8x (add the numbers)

= 29+8x

15,735 children visited a fun park in January and 32,012 children visitedit in February. How many children visited the fun park in 2 months?

Answers

47,747 all you do is add the two numbers together

Name an angle adjacent to FGI
JGI

HGJ

DGE

HGE

Answers

Answer: JGI

Step-by-step explanation:

An adjacent angle are angles that share a vertex and side. FGI and JGI share the vertex G and the segment GI

Have a good day!

I
Table for a linear equation
Fill in the table using this function rule.
y = 5x-2
X
y
Х
?
- 1
0
1
2

Answers

Here you go mate. Very easy concept to learn :D good luck in your studies

Please, Help with this MATH question.

Answers

y in the second equation
The x at the second one. I hope you are help

pls help I really need it too pass I am begging

Answers

Answer:

Lateral : 103.67 in²

Total : 864 in²

Step-by-step explanation: there you go

Please answer this ASAP
Solve for x.
5x−3=13−3x

A: x=-2
B: x= -5
C: x=2
D: x=5

Answers

Answer:

5x−3=13−3x

x=2

positve 2

Help tbh I have no idea to what to do rn

Answers

4x+1=17 ,17-1= 16., 16/4=4 The answer is x=4

How do you write an equation of a line so that it is parallel or perpendicular to a given point??

Answers

The equation of a line so that it is perpendicular to a given point will be

y-y0=[tex]\frac{-1}{m}[/tex] (x - xo)

The equation of a line so that it is perpendicular to a given point will be

y-y0=m (x - xo)

The standard equation of the line is better written in point-slope form expressed as:

y-y0=m(x - xo)

where: m is the slope of the given line (x0, y0) is any point of the giuven line.

m is the slope of the given line

(x0, y0) is any point on the given line

If the given slope of the  line is m, the slope of the line perpendicular will be expressed as -1/m

The equation of a line so that it is perpendicular to a given point will be

y-y0=[tex]\frac{-1}{m}[/tex] (x - xo)

16. Multiply the polynomials: (x + 3)(x2 – 5x + 12)

Answers

The answer would be -3x^2+3 x + 36

A computer artist created a rectangular image measuring 50 millimeters by 120 millimeters. She then dilated the image by a scale factor of 2.5. What are the dimensions of the dilated image?

A
125 millimeters by 120 millimeters

B
52.5 millimeters by 122.5 millimeters

C
125 millimeters by 300 millimeters

D
20 millimeters by 48 millimeters

Answers

The dimensions of the dilated image is 125 millimeters by 300 millimeters.

An image is dilated if the dimensions of the image is resized in a way that does not change the shape of the image. When an image is dilated, it is made larger.

The scale factor is 2.5. This means that the dimensions are 2.5 larger. Dimensions of the dilated image : 50 x 2.5 and 120 x 2.5 = 125 mm by 300 mm

To learn more about dilation, please check: https://brainly.com/question/3457976

1.5 cm 1 30 cm 15 cm 20 cm Calculate the volume of the box using the external measurements.​

Answers

It is 3.50 cm……………….

A grocery store buys cereal using the cost function c(n) = { 2n when n < 100 1. 9n when 100 ≤ n ≤ 500 1. 8n when n > 500 where n is the number of boxes of cereal the grocery store buys and c(n) is the cost of the cereal. The grocery store then sells the cereal using the sales function s(c) = 1. 3c. What is the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them?.

Answers

The grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

From the given function, we can see that the equivalent function for a number of 100 boxes is given as;

c(n) = 1.9n

If n = 100

c(100) = 1.9(100)

c(100) = 190

Hence the cost of 100 boxes will be $190

Given the sales function s(c) = 1. 3c, the grocery store's sales from selling cereal if the grocery store buys 100 boxes will be expressed as:

[tex]s(c) = 1. 3c\\s(190)=1.3(190)\\s(190)=$247[/tex]

Hence the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

Learn more on functions here: https://brainly.com/question/17043948

Describe the type of correlation each scatter plot shows. Draw a trend line that

models each data set and find the equation of that trend line.

Answers

The correlation is positive, negative and no correlation.

The correlation coefficients off both the scatter plots are mentioned above.

What is correlation?Correlation is a statistical measure that expresses the extent to which two variables are linearly related.The sample correlation coefficient is defined as

        [tex]${\displaystyle {\begin{aligned}r_{xy}&={\frac {\sum x_{i}y_{i}-n{\bar {x}}{\bar {y}}}{ns'_{x}s'_{y}}}\\[5pt]&={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-(\sum x_{i})^{2}}}~{\sqrt {n\sum y_{i}^{2}-(\sum y_{i})^{2}}}}}.\end{aligned}}}[/tex]

       where [tex]{\displaystyle s'_{x}}[/tex] and [tex]{\displaystyle s'_{y}}[/tex] are the uncorrected sample standard deviations of        

       X and Y.

Given are the scatter plot graphs as shown.

For the graph {1}, the correlation coefficient is positive and is in range of between 0.7 to 0.8

For the graph {2}, the correlation coefficient is negative and is in range of between -0.4 to 0.45

Therefore, the correlation coefficients off both the scatter plots are mentioned above.

To solve more questions on correlation, visit the link below -

https://brainly.com/question/28898177

#SPJ5

what is the slope of the line with the equation: y+6=24-2x

Answers

Answer:

The slope is -2

Step-by-step explanation:

y+6=24-2x

Subtract 6 from each side

y+6-6=24-6-2x

y = 18 -2x

Rewriting

y = -2x+18

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is -2 and the y intercept is 18

35% of (blank) days is 7 days

Answers

Answer:

2.45 days.

Step-by-step explanation:

35% of 7 days is 2.45 days :) please thank.

This should be 20.

50% of 20 is 10. If you subtracted 15% from 10, you would get 3 which then makes it 7. Therefore, 35% of 20 days is 7 days.

What is the angle, in degrees, when the coordinate is [tex](-\sqrt{2} /2), \sqrt{2} /2)[/tex] ? Pls help thanks

Answers

Answer:

135°

Step-by-step explanation:

seg AB=seg OB

tan ∠AOB = 1

∠AOB = 45°

∠AOC = 135°

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

Someone help me with this for BRAINLIEST thank you!

Answers

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, please feel free to ask in the comment section.

[tex]x+y =6 ~~~.....(i)\\\\x =3y -2~~.....(ii)\\\\\text{Substitute}~ x =3y-2~ \text{in equation (i):}\\\\\\3y -2 +y =6\\\\\implies 4y = 6+2\\\\\implies 4y = 8\\\\\\\implies y =\dfrac 84 =2\\\\\text{Substitute y =2 in equation (ii):}\\\\x = 3(2) -2\\\\\implies x = 6-2 =4\\\\\\\text{Hence,}~ (x,y) = \left(4, 2\right)[/tex]

The sunglasses cost €70
The exchange rate is €1 = £0.895
Emad says, “The sunglasses cost less than £60"
b) Using a suitable approximation, show that Emad is wrong.

Answers

Answer:

 70 * 0.895 = 62.65

OR

1   0.895

 70 x

-Cross-multiply

[tex]\frac{70 * 0.895}{1}[/tex] = 62.65

Bub buys a t - shirt for $7.45. He pays with a $20 bill . How much change will he get

Answers

Answer:

12.55

Step-by-step explanation:

Your favorite team jersey is on sale for $32 this is a 36% discount what was the original price of the jersey.

Answers

I had gotten 52.48

thats what I used to figure out the answer

PLEASE HELP!!! I’ll mark as brainiest!

Answers

Answer:

1. (-2, 3)

2. (-4, -6)

3. (3, -6)

4. (-5, 2)

5. (9, 1)

1. (-3, -2)

2. (6, -4)

3. (6, 3)

4. (-2, -5)

5. (-1, 9)

Other Questions
what is the answer for this question 7(x+4)-7=48-2x turn the following sentences into the pasive.1. His teacher has transferred him to anoher class _____ help integrate information processed in various areas of the cortex to produce a meaningful understanding. Find ADC triangle's perimeter, if ABE triangle's perimeter is 10 and AE:AC=2:3 Please helpSimplify :3x^5+4x^2-8x^5+3x^2-8x Mr. Allen says that the equation y=2x+1 has a solution of (4, 9). Is Mr. Allen right or wrong? Need help with these questions Which are reasons a student would write a blog? Select five answer options. How many countries have Spanish as their official language? 41 30 20 21 Someone please answer this quickly!Note: T is the center of the circle. Jossems cell phone costhim $21 per month plus $3 for every 1GB of data downloaded. what is the limit to the number of GBs he can download to stay within his monthly budget of $30. bru how i do these 2 ? Can someone plz help me? Bloodborne Pathogens Scenario #2You finally saved up enough money to go get a tattoo that you've been wanting for months. The tattooartist does awesome work and was recommended by several friends. When you get to the shop and sitdown in the chair when you notice the tools he plans on using didn't come out of an autoclave (whichcleans and sterilizes) and they didn't come out a wrapper indicated they are new. What would you do?Do you allow him to continue with the tattoo knowing that these tools could've been used before? Tellme what you do and why?no I will get up out my chair because it is not clean and it is germs and you can catch hiv from the tools1 IF ANYONE USES PROCREATE PLEASE HELP ME!I was working on this artwork, planning to rig it and everything. I spent more than a week on this just for it to be "corrupted" im not sure what this means, and im scared to open it because it gave me a warning. PLEASE PLEASE PLEASE TELL ME WHAT TO DO. these people told the history and folktales of africa before they started writing it down What is a complex sentence for the word punitive. Can someone plz help me? Plz Im begging! :( what is the Arabic word for God? im so confused on this I don't even know where to begin I really would appreciate help for this one pleaseeeeeeee