1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
UNO [17]
3 years ago
7

The function f(x) =2(3)^x is to be multiplied by the function g(x) 3(3)^(2x) to create the function h(x). Which function is prod

uced?
A. h(x)=6(9)^(3x)

B. h(x)=6(3)^(2x^2)

C. h(x)=6(3)^(3x)

D. h(x)=6(6)^(2x^2)
Please show work!
Mathematics
1 answer:
maria [59]3 years ago
7 0

Answer C is the right answer.

Step-by-step explanation:

h(x) = f(x) * g(x)

h(x) = (2*3^x ) * ( 3*3^2x )

2 * 3 is easy, that will be 6.

The ground number 3 remains 3 in h(x), so that is easy too...

But with multiplying exponents, you can add them.

Let's concentrate only on the exponents of f(x) and g(x)... and add them...

x + 2x =3x

So, now combine the easy part with this new exponent, and you get <u>h(x)</u><u> </u><u>=</u><u> </u><u>6</u><u>*</u><u>(3)^(3x)</u>

<u>So</u><u> </u><u>answer C is the right answer.</u>

You might be interested in
Note that 3 is a factor of 21. This means that 3×[]=21. Another way to write this is 3×n=21. Find a value of n that makes the st
mash [69]

Answer:

n=9

Step-by-step explanation:

3*9=21

7 0
3 years ago
Each unit cube measured 1 inch3. what is the maximum volume of the prims
Vesnalui [34]

Answer:

1 x 3 x 1 = 3

Step-by-step explanation:

4 0
3 years ago
-3/5x - 7/20x + 1/4x= -56
romanna [79]

Answer:

x = 80

Step-by-step explanation:

Combine − 3/5x and 7/20x to get -19/20x.

Then combine -19/20x and 1/4x and you get -7/10x.

Then you multiply both sides by -10/7 which is the reciprocal of -7/10.

Make -56(-10) one fraction.

Multiply -56 and -10 and you get 560.

Then divide 560 by 7 to get 80.

 

​  

8 0
3 years ago
Read 2 more answers
What’s the class width
aksik [14]

Answer:

4

Step-by-step explanation:

Class width is said to be the difference between the upper class limit and the lower class limit consecutive classes of a grouped data. To calculate class width, this formula can be used:

CW = UCL - LCL

Where,

CW= Class width

UCL= Upper class limit

LCL= Lower class limit

From the table above:

For class 1, CW = 64 - 60 = 4

For class 2, CW = 69 - 65 = 4

For class 3, CW = 74 - 70 = 4

For class 4, CW = 79 - 75 = 4

For class 5, CW = 84 - 80 = 4

Therefore, the class width of the grouped data = 4

6 0
3 years ago
Point J (-4, -6) and point K (4, 4) are located on a coordinate grid. Which measurement is closest to the distance between point
shepuryov [24]

Answer:

The points are sqrt(164) or 2sqrt(41) units apart.

Explanation:

You didn't provide the options in your question. But to find the distance, you need to use the distance formula.

d=sqrt((y2-y1)^2 + (x2-x1)^2)

d is the distance, and (x1, y1) and (x2, y2) are the points.

Use point J (-4,-6) for (x1,y1) and point K (4,4) for (x2, y2).

d=sqrt((4-(-6))^2 + (4-(-4))^2)

 =sqrt(10^2 + 8^2)

 =sqrt(100+64)

 =sqrt(164)=2sqrt(41)

You can compare this to the answer options and find the closest. Hope I could help! :)

3 0
3 years ago
Other questions:
  • Marie's Clothing Store had an accounts receivable balance of $ 470 comma 000 at the beginning of the year and a yearminusend bal
    8·1 answer
  • Which equation is an identity?
    10·2 answers
  • Which graph represents a function
    7·1 answer
  • Los puntos A (5, 3) y B (-3, -3) representan los extremos de un trozo de madera que será usado por un carpintero para elaborar u
    11·1 answer
  • julie runs 1 and 1/2 miles in 1/3 hour.if julie continues to run at this speed,how many miles will she run per hour
    10·2 answers
  • Jenna saves $3 for every $13 dollars she earns. Vanessa saves $6 for every $16 she earns. Is Jenna's ratio of money saved to mon
    5·1 answer
  • Please help me determine this guys
    8·1 answer
  • Help me quick taking a test need it down before 12
    6·1 answer
  • Ryan can eat 3 hot dogs in 2 minutes at this rate, how many hot dogs could he eat in 7 minutes
    12·2 answers
  • Given that a= 6 cm and b = 5 cm, work out the area of the triangle.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!