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

Need help on this please asap.

Answers

Answer:

This is confusing

Step-by-step explanation:

how many triangles are there in the picture ?

Answers

Answer:

there are 10 triangles

Step-by-step explanation:

10 I think all of it is triangles except the middle of the star

what shape is that? Please don't answer the question, i just need to know the shape.​

Answers

Answer:

Rectangle.

Step-by-step explanation:

It has 4 sides.

Answer:

It is a Wedge

Step-by-step explanation:

Because if you were to compare it to a rectangle which it look like it is a 3D figure and it gets slightly skinnier at the top so it is indeed a wedge

There are 8 people seated, equally spaced, along a counter. If each person has 1 3/8 feet of counter space, how long is the counter?

Answers

Answer:

8+(13-8)=13 pls Point pls

You saved $180 on your new laptop because you bought it online. If this was a 20% savings from the original price, find the original cost of the laptop.

Answers

Answer:

$900

Step-by-step explanation:

$180 divided by 0.20 is $900

A percentage is a way to describe a part of a whole. The original cost of the laptop is $900.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the original cost of the laptop be represented by x.

Given that you saved $180 on your new laptop, which is a 20% saving from the original price. Therefore, the percentage can be written as,

20% of original price = $180

(20/100) × x = $180

x = ($180×100)/20

x = $900

Hence, the original cost of the laptop is $900.

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Continuation of the other six questions find the value of eggs and tangent 

Answers

Answer:

Step-by-step explanation:

1) ?

I can't see what that one given angle is ..  but it's that  mystery angle subtracted from 180 give the angle   BOA   then you know that's an isosceles triangle again that the BOA is part of... so then just subtract BOA from 180 to find the two other angle of that triangle... they are the small so just divide your answer of  180-BOA /2 is the angle of each.. then since you know those to smaller angles subtract one from 90  to find the angle BAX

2) ( as we would read normally)

You're making this really tough on me.. I can just barely read the equations

I think it's  1+6x  and 7x-3  .  b/c they are the same length sides you can set those equal

1+6x = 7x -3

4+6x = 7x

4 = x

that worked out well :

for the tangent..   it's   Tan(Ф)= Opp/ Adj

but I don't know which side they want to solve for.. I think you may have left off some of the instructions????  :/

ohh I think they really mean.. what's the length of the tangent lines .. that was confusing to me.. :/ just plug in 4 into x for either eq.

1+6(4) = 25

or

7(4)-3=25

tangent is 25

3)

x-2 = 2x-10

x+8 = 2x

8 = x

again they made it work out easy :)

Then plug 8 into either equation to find the length of the tangent lines

8-2=10

tangent is 10

4) = 2)   ??? they are the same question  maybe  you meant to put something else?

need help asap i have no clue how to solve this

Answers

Answer:

c and

28.57%

Step-by-step explanation:

count how many number fall into each category

50-59 has 1

60-69 has 2

70-79 has 4

80-89 has 4

and 90-99 has 3

So the last histogram fits this data

to find the % of those that are between 70-79, take the total number of items that fit into that category (4) and divide by the total number of items (14)

4/14=.2857 --> turn to a percent .2857*100=  28.57%

Use the graph to determine the vertex point of the quadratic function. Is the vertex a
maximum or a minimum?
A) Vertex (2,1), minimum
B) Vertex (1,2), maximum
C) Vertex (2,1), maximum
D) Vertex (1,2), minimum

Answers

Answer:

B) Vertex (1,2), maximum

Step-by-step explanation:

First, determine if the graph has a maximum or a minimum value. Since the graph opens downwards, it has a maximum value.

The maximum is the point that has the greatest y value. We can see that the greatest y value is at [tex]y=2[/tex]. Going down two units from that spot, we can see that the x value is at [tex]x=1[/tex]. We can plug those into the vertex form, [tex](x,y)[/tex]. By plugging in we get the point [tex](1,2)[/tex].

What is the degree of this polynomial below ?
2x^5 + 4x^3 -3x^8

Answers

Answer:

8

Step-by-step explanation:

the degree is the highest exponent value

Entras a una tienda ropa y hay un pantalón que valia 150 y ahora vale 90 y una camiseta que valia 40 ahora vale 24 ¿ tienen el mismo porcentaje de rebaja ? Justifica tu respuesta

Answers

Answer:

Entras a una tienda ropa y hay un pantalón que valia 150 y ahora vale 90 y una camiseta que valia 40 ahora vale 24 ¿ tienen el mismo porcentaje de rebaja ? Justifica tu respuesta

Graph the line passing through (4, -1) whose slope is m = 4/3

Answers

9514 1404 393

Answer:

  graph is attached

Step-by-step explanation:

With the given slope, the intercepts will not be at integer values. The best way to graph this by hand is to start at the point (4, -1) and use the slope to identify other points on the line.

The slope of 4/3 tells you the graph will rise 4 units for each 3 units to the right. So, another point will be (4, -1) + (3, 4) = (7, 3). A point in the other direction will be (4, -1) -(3, 4) = (1, -5). These points are sufficient for you to draw the desired line.

identify an equation in point slope form for the line perpendicular to y=-2x+8 that passes through (-3,9)

Answers

Answer:

y - 9 = 1/2(x + 3)

Step-by-step explanation:

find the slope that is perpendicular to line y = -2x + 8, which is the negative reciprocal slope: 1/2

substitute the new slope 1/2 and the given/known point (-3, 9) into the point-slope form:

=> y - 9 = 1/2(x - (-3)) => y - 9 = 1/2(x + 3)

point-slope form:

If you are trying to build credit by using a credit card, each time you make a purchase with the credit card, deduct that amount from your checking account. That way, when your credit card bill is due, you will have enough to pay the credit card off in full. Kathy Lehner is going to start doing this. She plans on paying her credit card bill in full this month. How much does she owe with a 6% APR and the following transactions? (Round your answer to the nearest cent.)

31-day billing cycle
10/1 Previous balance $ 1,164
10/3 Credit $ 79 cr.
10/12 Charge: King Soopers $ 148
10/15 Payment $ 310 cr.
10/25 Charge: Delta $ 321
10/30 Charge: Holiday Fun $ 61

What would be the amount owed?

Answers

Answer:

12593

Step-by-step explanation:

tell me if this hepls

Ur should be noted that Kathy Lehner owes approximately $1,311.97.

How to calculate the amount

Previous balance (10/1): $1,164

Credit (10/3): $79 credit. This reduces the balance, so the new balance is $1,164 - $79 = $1,085.

Charge: King Soopers (10/12): $148 charge. This increases the balance, so the new balance is $1,085 + $148 = $1,233.

Payment (10/15): $310 credit. This reduces the balance, so the new balance is $1,233 - $310 = $923.

Charge: Delta (10/25): $321 charge. This increases the balance, so the new balance is $923 + $321 = $1,244.

Charge: Holiday Fun (10/30): $61 charge. This increases the balance, so the new balance is $1,244 + $61 = $1,305.

Interest calculation: $1,305 * (6% * (31/365)) = $6.9698 (rounded to the nearest cent, which is $6.97).

Finally, to determine the total amount owed, we add the balance and the interest:

Total amount owed: $1,305 + $6.97 = $1,311.97

Therefore, Kathy Lehner owes approximately $1,311.97.

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If a • b = b, what must the value of a be?

Answers

Answer:

the value of a would be one, i think

(4) A sign on the road says: "Speed limit, 60 mph." Let s be the speed of a car. Choose the correct inequality that matches the information on the sign. the answers are= s<60 , s=60 , s<60 , s>60​

Answers

Step-by-step explanation:

Choose the correct inequality that matches the information on the sign. the answers are

s<60

Sam drew this 40° angle on his paper. What size angle should he draw to make a pair of complementary angles?

Answers

Answer:

52

Step-by-step explanation:

40(x)=52

Answer:

50°

Complentary angles are two angles that sum up to 90°

So 50+40=90

What is the value in simplest form 8*4/9

Answers

Answer:

32/9 or 3.55555555556

hope this answer helps you!

-> What is the remainder of 46 divided by 48?

Answers

one 1

please mark in brain list

the answer would be 0.9583

HELP!!!? PLS ASP!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

12x12 = 144 per side

144x6 sides = 864

Answer:864

Step-by-step explanation:

What does a equal in the picture below?

Answers

Answer:

28

Step-by-step explanation:

28-10 Your welcome Have a good day

What is the length of line segment FE?



Enter your answer, as a decimal rounded to the nearest tenth, in the box.
FE =
units

Answers

Answer:

(7,-1)because it is problem of vector lesson so that we have to use formula of vector

FE=7.1
F (-3,4)
E (4,3)
distance formula: √(4-(-3))^2 + (3-4)^2 = √49+1 = √50 = 7.07 or 7.1

Please help me on this for my quiz: If the point (2, -10) lies on the graph of a direct variation, which represents the direct variation equation?

Answers

Answer:

k = -5

Step-by-step explanation:

Direct variation formula:

y = kx

Given:

x = 2

y = -10

Work:

y = kx

-10 = 2k

k = (-10)/2

k = -5

find the arthmetic and the geometric means of 4 and 9

Answers

Answer:

Step-by-step explanation:

first term (a) = 4

last term (b) = 9

Arithmetic mean (AM)

= ( a + b) / 2

= ( 4 + 9 ) / 2

= 13/2

= 6.5

Geometric mean (GM)

= √a *b

=√4 * 9

=√36

= 6

hope it helps :)

HELP!! geometry homework

Answers

Answer:

2794 in³

Step-by-step explanation:

Given

base (a) = 17 in

vertical height (h) = 29 in

Now

Volume of the square pyramid

= 1/3 a²h

= 1/3 * 17² * 29

= 2793.7 in³

= 2794 in³

hope it helps :)

Answer:

2794

Step-by-step explanation:

V=s^2 times height over three

17^2 times 29/3

PEMDAS, exponents first

17^2=289

PEMDAS, next up multiplication

289 times 29/3

8381/3 or 2793.7

round to nearest whole number

2794

3.
A man has 6 packages. Their average weight is 18 kg. Find the total
weight of the 6 packages.

Answers

Answer:

108 kg for all 6 packages

Step-by-step explanation:

Answer:

=108

Step-by-step explanation:

18 × 6 will give you 108

A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?

Answers

I got 480 square feet. I assume that the apartment was a rectangle so the sides were 3in by 5in. Then I converted inches to feet and then found the area again

The actual area of the apartment will be 960 square feet.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

A blueprint shows an apartment with an area of 15 square inches.

If the blueprint's scale is 1 inch : 8 feet.

Then the scale factor will be 8/1 feet per inch.

Then the actual area square footage of the apartment will be

Actual area = 15 x (scale factor)²

Then the actual area of the footage will be

Actual area = 15 x (8/1)²

Actual area = 15 x 64

Actual area = 960 square feet

Thus, the actual area of the apartment will be 960 square feet.

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Help me find this perimeter please

Answers

Answer:

52 in

Step-by-step explanation:

I added all the sides I already know which is 10+5+5+16= 36

then to find the sides we don't know I subtracted part of the side we do know from the full side we do know for example I subtracted 5 from 10 and 5 from 16 to get 5 and 11 as the missing sides then I added those to the 36 so final answer is 52 in

Suppose there is a bag of 10 marbles. Of the 10 marbles, 5 are blue, 3 are green, and 2
are black. What is the probability of drawing three marbles and having all three be green,
with replacement

Answers

Answer:

27/1000

Step-by-step explanation:

P(G,G,G) = 3/10 x 3/10 x 3/10

28 divided by 6 is?? I’m in the 7th grade helping my little sis out can remeber this stuff

Answers

Answer:

4.6666(repeating)

Step-by-step explanation:

What is the equation of the following line?

Answers

The the the the the the the answer is of course 3

Answer:

Answer is F. y = 6x

Step-by-step explanation:

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