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].

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Related Questions

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

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°

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 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

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

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.

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.

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)

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]

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

Answers

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

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.

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

Please, Help with this MATH question.

Answers

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

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

Answers

Answer: $6.4

Explanation 0.2(80) - 0.12(80)

justin bieber is white

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

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

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

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

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:>

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……………….

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:

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

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

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

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

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]

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)

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

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