Find the function h(x) = f(x) - g(x) if f(x)=3^x and g(x) = 3^2x - 3^x

Answers

Answer 1

Step-by-step explanation:

h(x)=f(x)-g(x)h(x)=3^x-3^2x-3^xh(x)=3^x(1-3²-1)h(x)=3^x(-9)h(x)= -27^x

hope it helps.


Related Questions

I need help with this math problem don't know how to do it.

Answers

Answer:

40

Step-by-step explanation:

The shape is a parallelogram.

formula = A = bh

b = 10

h = 4

10 x 4 = 40

Male and female teachers were asked whether they preferred to use a whiteboard or a projector while teaching. The responses are summarized in the table. Projector Whiteboard Total Male 22 10 32 Female 28 15 Total 25 75 What is the approximate probability that a teacher prefers projectors and is female?

Answers

Answer: c is the answer

C: 0.560

Step-by-step explanation:

A baseball player reaches first base 30% of the times he is at bat. Out of 50
times at bat, about how many times will the player reach first base?
(write a proportion)

Answers

Answer:

15 times

Step-by-step explanation:

The proportion is:

k = 30% = 30/10 = 3/10

Out of 50 times, the player will reach first base:

50*3/10 = 15 times

Total times

30% of 5030/100(50)0.3(50)15times

Proportion

k=30%=0.3

How many hours of training would you need to have a salary of $2,620?

Answers

Answer:

80 Hours

Step-by-step explanation:

The Salary increases 200$ per 10 hours

Answer:

80 hours

Step-by-step explanation:

2620/122=10+70=80

40 divided by 28! HURRY!!

Answers

Answer:

fraction~ 10/7

decimal~ 1.428571

mixed number~ 1 3/7

Step-by-step explanation: for decimal make sure to put the line over the 428571 because its an on going number

Help please make the letter in the brackets the subject of each formula

Answers

Answer:

v - u = 10t

t = 1/10x(v-u)

2. 1/6 x (m - 19) = n

3. u = d/t - at

4.- 1/6 x (A - P)

T = 2.5

Step-by-step explanation:

v = u + 10t

v- u = 10t

divide both sides of the equation by 10

t = 1/10x(v-u)

2. m = 6n + 19

subtract 19 from both sides of the equation

m - 19 = 6n

divide both sides of the equation by 6

1/6 x (m - 19) = n

3. d = ut + at²

subtract  at² from both sides of the equation

d - at² = ut

divide both sides of the equation by t

(d/t) - at = u

4. P = A - 6D

subtract A from both sides of the equation

P - A = -6D

divide both sides of the equation by -6

-1/6(P - A) = D

Colton is going to invest $59,000 and leave it in an account for 10 years. Assuming
the interest is compounded daily, what interest rate, to the nearest hundredth of a
percent, would be required in order for Colton to end up with $94,000?

Answers

Answer:

4.66

Step-by-step explanation:

A=P(1+

n

r

)

nt

Compound interest formula

A=94000\hspace{35px}P=59000\hspace{35px}t=10\hspace{35px}n=365

A=94000P=59000t=10n=365

Given values

94000=

94000=

\,\,59000\left(1+\frac{r}{365}\right)^{365(10)}

59000(1+

365

r

)

365(10)

Plug in values

94000=

94000=

\,\,59000\left(1+\frac{r}{365}\right)^{3650}

59000(1+

365

r

)

3650

Multiply

\frac{94000}{59000}=

59000

94000

=

\,\,\frac{59000\left(1+\frac{r}{365}\right)^{3650}}{59000}

59000

59000(1+

365

r

)

3650

Divide by 59000

1.593220339=

1.593220339=

\,\,\left(1+\frac{r}{365}\right)^{3650}

(1+

365

r

)

3650

\left(1.593220339\right)^{1/3650}=

(1.593220339)

1/3650

=

\,\,\left[\left(1+\frac{r}{365}\right)^{3650}\right]^{1/3650}

[(1+

365

r

)

3650

]

1/3650

Raise both sides to 1/3650 power

1.000127613=

1.000127613=

\,\,1+\frac{r}{365}

1+

365

r

-1\phantom{=}

−1=

\,\,-1

−1

Subtract 1

0.000127613=

0.000127613=

\,\,\frac{r}{365}

365

r

365\left(0.0001276\right)=

365(0.0001276)=

\,\,\left(\frac{r}{365}\right)365

(

365

r

)365

Multiply by 365

0.046578745=

0.046578745=

\,\,r

r

4.6578745\%=

4.6578745%=

\,\,r

r

Convert to percent (multiply by 100)

r\approx

r≈

\,\,4.66\%

4.66%

What is the answer to this

Answers

Answer:

4)

Step-by-step explanation:

This is in standard form. To change it to slope-intercept form, you would divide 2x by 3y and you would divide 6 by 3y. That would make the equation y = [tex]\frac{2}{3}[/tex]x + 2. y = mx + b, and slope = m, so on answer choice 4, slope would equal [tex]\frac{2}{3}[/tex].

si miras la luna a traves de un telescopio q tiene un aumento de 40 veces Que tan grande se parecera a traves del telescopio?

Answers

Answer:

40 times bigger. because fold in this case means times like multiplying.

40 veces más grande. porque doblar en este caso significa tiempos como multiplicar.

A middle school has 220 students in each grade 6,7,8.The librarian wants to know which books are the most popular among the students in her school.

Answers

Answer:

?

Step-by-step explanation:

the choices, the question?

line a is perpendicular to line b. if the slope of line a is 1/8, what is the slope of line b

Answers

Answer:

-8/1

Step-by-step explanation:

Perpendicular lines have opposite slopes., meaning the signs are opposite, and the numerator and denominator are flipped.

Here's another example:

If line a had a slope of 4/5, line b would have a slope of -5/4, if the lines are perpendicular.

If You write all numbers from 30 to 65 including 30 and 65 how many times would you write the digit 4?

Answers

Answer:

We write 4 times 4 because it includes 34,44,54,64in the data.

You would write 6 times the digit 4.

What are integers?

Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."

Given:

You write all numbers from 30 to 65 including 30 and 65.

And in between there are following numbers that have digit 4:

34, 40, 44, 54 and 64.

That means, we wrote 6 times digit 4.

Therefore, digit 4 would be written 6 times.

To learn more about the integers;

brainly.com/question/1768254

#SPJ2

A rectangle is fenced off for a robot competition. The dimensions of the competition area are 35 feet by 25 feet. To help track the robots, the southwest vertex of the rectangle is assigned coordinates (0, 0) and the northeast vertex is assigned coordinates (35, 25). The robot that traveled from (3, 18) and moved in a linear path for 5 seconds. After 5 seconds, the robot’s position was at (31, 6). What is the approximate speed of the robot during the 5 seconds? Give your answer to the nearest whole number.

Answers

Answer:

The approximate speed of the robot during the 5 seconds is:

6 ft/s

Step-by-step explanation:

To calculate the speed of the robot, you must begin with the positions, the first position (3, 18) and the second position (31, 6), you can see, in the height it moved from 3 to 31, it means 28 feet, in the width it moves from 18 to 6, it means 12 feet, with these data you can construct a triangle where you have the opposite leg and adjacent leg, now you must calculate the hypotenuse, because it is the linear path from the first position to the second position that the robot took, for this, you can use the Pythagoras theorem:

[tex]hypotenuse^{2}[/tex] = [tex]opposite leg^{2}[/tex] + [tex]adjacent leg^{2}[/tex][tex]hypotenuse^{2}[/tex] = [tex]12^{2} +28^{2}[/tex][tex]hypotenuse=\sqrt{ 12^{2}+28^{2} }[/tex][tex]hypotenuse=30.46 ft[/tex]

With the value of the distance traveled, and the time used (5 seconds), we can calculate the speed with the next formula:

[tex]Speed =\frac{distance}{time}[/tex][tex]Speed = \frac{30.46 ft}{5 s}[/tex]Speed = 6.09 ft/s

As you need the speed in the nearest whole number, then:

Speed = 6 ft/s

Plz need help fast.....

Answers

Answer:

See Below

Step-by-step explanation:

1: -9 Take the Square Root of 81 and then multiply by -1.

2: +- 1/3  1/3 *1/3= 1/9

3: -1  -1*-1*-1 = -1

Have a Great day!

What is spread of data on a dot plot?​

Answers

The spread of the data is the RANGE of the plot

Answer:

The spread is the range of the data. :)

A laptop has a listed price of $731.95 before tax. If the sales tax rate is 7.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
HELP QUICKKKK PLEASEEE

Answers

Answer:

786.85

Step-by-step explanation:

The volume of a cylinder is 347.6cm cube. If the area of the base 34.76cm squared, what is the height?

Answers

Answer:

115.3333

Step-by-step explanation:

346/3

Hope this helps. :)

Which expression represents the phrase: 8 less than the product of 6 and a number, x?A. 8 − 6xB. 6x − 8C. (6 + x) − 8D. 8 − (6 + x)

Answers

Answer:

69 over 420

Step-by-step explanation:

trust me

Please can I have help on this

Answers

Answer:

64

Step-by-step explanation:

16/2

= 8

8 x 8 x (pie)

64(pie)

Answer:

From the diagram, the radius of the circle is 8cm therefore the area is

A =

[tex]a \: = \pi {r}^{2} [/tex]

= 201.1 cm^2

Plz help!!!

Which equation represents the graph?

Answers

Answer:

Option C : y=|x|-6

Step-by-step explanation:

Solve for x.
-1/5(x-4)= -2

Answers

Answer:

14

Step-by-step explanation:

Steps shown in the image

plz help FREE BRAINLIST AND ALOT OF POINTS!!
TRUE or False? .Probability works for random games of chance .

True
False

Answers

Answer:

True

Step-by-step explanation:

Pretend you are playing a marble game. All the marbles are in a bowl. You notice there are more green than red and blue marbles so you will be most likely to get the green marble.

What is the difference of 100 and 10

Answers

Answer:

The difference of 100 and 10 is 90.

Step-by-step explanation:

Answer:

the difference of 100 and 10=100-10=90

Fiona has $998 in her savings account. If the bank pays 2.5% simple interest on savings, how much does she earn in one year?

A.
$24.95

B.
$399.20

C.
$2,495

D.
$294.86

Answers

The answer would be A: $24.95
Answer is A. $24.95

I just multiple 998 by 0.025 to get 24.95

2.5%=0.025

helppppppppppppppppp

Answers

Answer:

X should equal 65, sorry if I’m wrong

Step-by-step explanation:

OKAY SO the whole thing is 180 degrees right and a right angle is 90 degrees and there is the number 25 u do 90 plus 25 which is 115 then u do 180 minutes 105 which is 65 ur answer is 65

What is the value of the tangent of

Answers

Answer:

Step-by-step explanation:

With reference < H

perpendicular (p) = 12

base (b) = 5

so now

tangent of < H

= p / b

= 12 / 5

hope it helps :)

With references < H

Perpendicular (p) = 12

Base (b) = 5

Tangent of < H

= p/b
= 12/5

Can someone please help me with these two I will mark u brilliant

Answers

Answer:

The first answer is $4.97. The second answer is 1 over 16.

Step-by-step explanation:

For the first question you have to subtract the money that the total price, $26.73 from the money that she has, $21.76 and you will get the find the difference that she needs.

For the second question think about it as mulitplying one quarter 4 times. So 1 multiplied four times still remains one and 4 x 4 is 16.

17. Find the surface area of the sphere in terms of pi. 7 yd​

Answers

Question:-

Find the surface area of the sphere in terms of π 7 yd.

Solution:-

We know,

[tex] \dag [/tex] Formula of Surface area of the sphere is 4πr².

Radius (r) = 7 yd (Given)

Now,

Surface area of the sphere = 4 × π × (7)²

Surface area of the sphere = 4 × π × 7 × 7

Surface area of the sphere = 196π sq. yd.

The surface area of the sphere is 196 sq. yd. [Answer]

HELP QUICK!!

if you know that one figure has a greater surface area than another, do you know whether it has a greater volume

Answers

Answer:

Well, it depends on their heights . If both figures have same height, then the one with greater surface area will have greater volume.

Step-by-step explanation:

Ggjjkmmmmgfffhiioklkhffffuikkkjgfffgh

For a camping trip, Jack is preparing water canteens. The canteens each hold 1/3 gallon of water.
How many canteens can Jack fill if he has 14 gallons of water?

Answers

Answer:

42 canteens

Step-by-step explanation:

1 gal = 3 canteens

14*3=42

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