How do the graphs of the functions f(x) = (Three-halves)x and g(x) = (Two-thirds)x compare?

Answers

Answer 1

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Given:

[tex]\bold{f(x)= (\frac{3}{2})^x}\\\\\bold{g(x)= (\frac{2}{3})^x}\\[/tex]

Following are the graph attachment to this question:

The second function, that is [tex]g(x)= (\frac{2}{3})^x[/tex] is not even a function.

Remember that g(x) function is the inverted f(x) function. And when you see this pattern, a reflection on the Y-axis expects you.

Reflection in the axis.

In x-axis:

Increase the function performance by -1 to represent an exponential curve around the x-axis.

In y-axis:

Increase the input of the function by -1 to represent the exponential function around the y-axis.

How Do The Graphs Of The Functions F(x) = (Three-halves)x And G(x) = (Two-thirds)x Compare?
Answer 2

We want to compare the graphs of the two given functions. We will see that the graph of g(x) is the graph of f(x) reflected across the line y = x.

The given functions are:

f(x) = (3/2)*x

g(x) = (2/3)*x

Note that each point on the line f(x) is written as:

(x, (3/2)*x)

And each point on the line g(x) is written as:

(x, (2/3)*x)

Now, if we multiply both sides of the above point by (3/2) we will get:

((3/2)*x, x)

Now, remember that for a general point (x, y), if we apply reflection across the line y = x, we get.

(y, x)

So the order of the values changes, exactly as we can see for f(x) and g(x).

Then we can conclude that g(x) is obtained by reflection f(x) across the line y = x.

Then the graph of g(x) is the graph of f(x) reflected across the line y = x.

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Related Questions

The sum of two consecutive integers is -15. If
1 is added to the smaller integer and 2 is
subtracted from the larger integer, what is the
product of the two resulting integers?

PLEASE HELP AND EXPLAIN BECAUSE I DONT GET IT

15 POINTS

Answers

Answer:

-16

Step by Step Explanation:

-7 and -8 are consecutive integers.

-7+-8=-15

Add 1 to -7 and you get -6.

Subtract 2 from -8 and you get -10.

-10+-6=-16

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The product of the two resulting integers is 80.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Let the unknown integer be represented by x. Given that the sum of two consecutive integers is -15. Therefore, we can write,

x + (x+1) = -15

2x + 1 = -15

2x = -16

x = -8

Thus, the smaller integer is -9 and the larger integer is -8.

Now, If 1 is added to the smaller integer and 2 is subtracted from the larger integer.

Smaller Interger = -9 + 1 = -8

Larger Integer = -8 - 2 = -10

Further,  the product of the two resulting integers is,

Product = -8 × -10

             = 80

Hence, the product of the two resulting integers is 80.

Learn more about Multiplication:

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The center is consideirng signing up for an online game-rental service rather than buying the games. The table shows equipment cost and monthly fees for two services.

Equipment cost mouthy cost

Net games 99$ 8$

Equipment cost mouthy fee

anytime games 19$ 19$


1. Write and solve an inequality that represents the number of months the center could rent games from NetGames with its $175. Explain the solution in terms of the problem.


2. Write and solve an inequality to represent the number of months the center could rent games from Anytime Games. Explain the solution in terms of the problem.


3. Use your answers from 1 and 2 to justify which service the community center should purchase.

Answers

Answer:

Here's what I get  

Step-by-step explanation:

Total cost = equipment cost + monthly fee × number of months

Let C = total cost

and e = equipment cost

and f = monthly fee

and x = number of months. Then

C = e + f·x  

The condition is that C ≤ $175 or

e + f·x ≤ $175

1. NetGear

e = $99; f = $5/mo

The condition is  

99 + 5x ≤ 175

[tex]\begin{array}{rcll}99 + 5x & \leq & 175 &\\5x & \leq &76 & \text{Subtracted 99 from each side}\\x & \leq & \dfrac{76}{5} & \text{Divided each side by 5}\\\\x & \leq & \mathbf{15.2} & \text{Simplified}\\\end{array}\\[/tex]

The centre could rent the games for 15 mo.

They would pay $99 for the equipment.

Fifteen months rental at $5/mo = $75.

Total cost = $174.

2. Anytime Games

e = $19; f = $19/mo

The condition is  

19 + 19x ≤ 175

[tex]\begin{array}{rcll}19 + 19x & \leq & 175&\\19x& \leq & 156 & \text{Subtracted 19 from each side}\\x & \leq & \dfrac{156}{19} & \text{Divided each side by 19}\\\\x & \leq & \mathbf{8.2} & \text{Simplified}\\\end{array}\\[/tex]

The centre could rent the games for eight months.

They would pay $19 for the equipment.

Eight months rental at $19/mo = $152.

Total cost = $171.

3. Recommendation

The Community Centre should rent from NetGear.

They can rent for 15 mo without going over the budget.

With the other company, they can rent for only eight months.

The graphs below show how the costs for the two companies vary with the number of months.

Anything above the horizontal orange line at C = $175 is beyond the Community Centre's budget.  

(URGENT)Determine the cross product of the vectors: x x y​

Answers

x x y = (13 i + 4 j - 9 k) x (- i + 7 j - 4 k)

Distribute the cross product:

x x y = 13*(-1) (i x i) + 4*(-1) (j x i) + (-9)*(-1) (k x i)

........... + 13*7 (i x j) + 4*7 (j x j) + (-9)*7 (k x j)

........... + 13*(-4) (i x k) + 4*(-4) (j x k) + (-9)*(-4) (k x k)

x x y = -13 (i x i) - 4 (j x i) + 9 (k x i)

........... + 91 (i x j) + 28 (j x j) - 63 (k x j)

........... - 52 (i x k) - 16 (j x k) + 36 (k x k)

By definition of the cross product, we have

i x i = j x j = k x k = 0

i x j = k

j x k = i

k x i = j

and for any two vectors x and y, the product is anti-symmetric:

x x y = -(y x x)

This makes the products on the "diagonal" vanish, and we can condense terms using the anti-symmetry property:

x x y = (4 + 91) (i x j) + (9 + 52) (k x i) + (63 - 16) (j x k)

x x y = 95 k + 61 j + 47 i

x x y = 47 i + 61 j + 95 k

Please Help!!

What is the measure of angle AXB?





Answers

Answer:

Step-by-step explanation:

Two angles are supplementary when their sum is 180

∠AXB + ∠BXC = 180°   {Supplementary angles}

8x + 10 + 2x - 20 = 180    

Add the like terms

10x - 10 = 180

10x = 180 + 10

10x = 190

x = 190/10

x = 19°

∠AXB  = 8x + 10

          = 8 * 19 +10

          = 152 + 10

∠AXB  = 162

Answer:

180 degrees

Step-by-step explanation: the measure of angle AXB is ( a + a )  and the sum of the measured angles AXB and BXC  = 180 , so a + ( a + a) = 180.

both these angles add up to be 180 degrees because they are both supplementary angles  they both share the sides  of x  and b.  

if it confuses you, just use  a bit of repeated addition and multiplication

for example  : 30 + 30 + 30 + 30 + 30 = 5 x 30 which equals to 150

because you add 30 , 5 times .

A certain bag of potting soil is 1/4 peat moss, and the rest is dirt. What part is dirt?
1/4
А
B
3/8
3/4
D
7/8
E
1-1/4

Answers

Answer:

[tex]D = 1 - \frac{1}{4}[/tex]

[tex]D = \frac{3}{4}[/tex]

Step-by-step explanation:

Given:

1 bag of potting soil

[tex]Peat Moss = \frac{1}{4}[/tex]

Required

What part is dirt?

The whole bag of potting soil is represented as 1;

Let P represent Peat Moss and D represented Dirt; Such that

[tex]P + D = 1[/tex]

Subtract P from both sides

[tex]P - P + D = 1 - P[/tex]

[tex]D = 1 - P[/tex]

Substitute [tex]\frac{1}{4}[/tex] for P

[tex]D = 1 - \frac{1}{4}[/tex]

Take LCM

[tex]D = \frac{4-1}{4}[/tex]

[tex]D = \frac{3}{4}[/tex]

Hence, [tex]1 - \frac{1}{4}[/tex] or [tex]\frac{3}{4}[/tex] of the potting soil is Dirt

A.-4
B.4
C.1/4
D.-1/4
I need help I’m confuse

Answers

Answer:

The answer is 4/B

Step-by-step explanation:

Mark me brainiiest.


Size
Small
Medium
Large
Cost
$2.25
$2.50
$2.75
The table above shows the cost of drinks at
Lydia's Lemonade Stand. If the store make $250
on a certain day and twice as many medium
sized drinks as either small or large sized drinks,
how many large sized drinks did the store sell?
E. 15
F. 20
G. 25
H. 50

Answers

The answer is: E

Hope this helps|

HELPPPPP ASAPPPPP 30 pointsss!!!!!
A It is lunch time at I.S. 237 and the table below lists the lunches that have
been served so far. Based on the results in the table, what is the
probability the next student will choose pizza?

Answers

Answer:

3/10

Step-by-step explanation:

What is the value of x in the equation 8 + 4 = 2 (x minus 1)? 5 StartFraction 11 Over 2 EndFraction StartFraction 13 Over 2 EndFraction 7

Answers

Answer:

7

Step-by-step explanation:

We can simplify the equation to

12 = 2x - 2

Add 2 to both sides

14 = 2x

Divide by 2

x = 7

Answer:

7

Step-by-step explanation:

HELP PLEASE!
Which expression is equivalent to 2m2-m2(7-m)+6m2?
A.m2-m
B.-m3+13m2
C.-m3+m2
D. m3+m2

Answers

Answer:

D. m³+m²

Step-by-step explanation:

If expression is 2m²-m²(7-m)+6m² then after distributing and combining like terms it will be:

2m² -7m²+m³+6m²

m²+ m³

Answer:

other guy is right

Step-by-step explanation:

edg. 2020


A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute. A fire hydrant with a purple cap provides water at half the rate of a fire hydrant with a green cap.

Answers

Answer:

1. D

2. A

Step-by-step explanation:

Brainliest please?

answers ? Idk how to do this

Answers

Answer:

Step-by-step explanation:

ghjikop0987trsxzcvbhtrdxc vbhgfc

Suppose that f(5) = 1, f '(5) = 4, g(5) = −8, and g'(5) = 7. Find the following values.

Answers

I think G=50 because 5 times 10

A carnival charges $7 to enter the carnival and $3 per ride. How many rides can you go on if you have a $50 bill?

Equation:

Answers

50-7 is 43
43 divided by 3 is 14.3
you’ll be able to go on 14 rides

Answer:

you can go on 6 rides if you have $50

Step-by-step explanation:

50-7= 43

43/7= about 6

Max climbs a hiking trail at a constant rate of 18 meters in 15 minutes. The line y = mx can be used to model Max's climb, where y is the distance he climbs and x is the time in minutes. Which is the slope of the line, m?

Answers

Answer:

18y=15mx/m

Step-by-step explanation:

that's the set up

plz help me with these problems

Answers

Answer: number 16 is d

number 20 is d

Step-by-step explanation:

Answer:

The answer for 16 is A,  the answer for 20 is D, and the answer for 25 is A

Step-by-step explanation:

For 16, the equation is 6a = 72. 6a is also equal to 6*a. To get a one side by itself, you have to divide both sides by 6.

For 20, it only makes sense for it to be a triangular prism because it has 2 triangles as the base and 3 faces

For 25, you can subtract what was the leftovers from the total number of pizzas. 8 - 1 3/4 - 5/6 is about 5.41, which is closer to 5 so the answer is 5.

If p ⊥ q, which of the following statements is true for the given figure? answers: A) ∠1 ≅ ∠3 B) ∠1 + ∠2 ≅ ∠3 + ∠4 C) ∠1 + ∠3 ≅ ∠2 + ∠4 D) ∠1 + ∠4 ≅ ∠2 + ∠3

Answers

Answer:

B

Step-by-step explanation:  The givens are that line p is perpendicular to line q, so you know that angle 1 + angle 2 = 90 and angle 3 + angle 4 are 90 degrees.  You can not tell by looking at the picture any other information, so you can only tell that angle 1 + angle 2 is congruent to angle 3 + angle 4.

Answer:

B is the right answer

Step-by-step explanation:

Betty bought two bags full of books at an annual library book sale. If she
pays a total of $12.90 for both bags, of which $0.90 is tax, how much did
each bag of books cost?

Answers

Answer:

12.90= .90+ 2x

12=2x

6=x

Each bag of books cost was $6

Answer: the answer is $6

Step-by-step explanation:

Since Betty payed .90 cents on tax we can subtract this from the equation because we are just trying to focus on how much she spent on one bag. Now all we have left is $12. Then we would have to divide 12 by the number of bags she bought, so 2. 12 divided 2 equals 6, meaning Betty spent $6 per bag.

How to make 24 using 13,6,9,3

Answers

(13+9)+(6/3) = 24
(13+9)+6/3 = 24
(13+9+6/3) = 24
(13+9+6/3) = 24
13+(9+6/3) = 24
13+(9+6/3) = 24
13+9+(6/3) = 24
13+9+(6/3) = 24
(13+6/3)+9 = 24
(13+6/3)+9 = 24

Which graph represents the function f(x)=3x5^x

Answers

Answer:

top right corner

Step-by-step explanation:

Cinco amigos pidieron una pizza personal
extra grande cada uno. A continuación se
muestra la fracción de pizza que se comió
cada uno.
3
8
1
7
8
3
4
2
Encuentra la mediana de las fracciones
de pizza que se comieron.

Answers

Answer:

3/4

Step-by-step explanation:

Does anyone know the answer?

Answers

[tex]value \: of \: x \: is \: 210 \\please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

[tex]210 \: \: \: degrees[/tex]

Step-by-step explanation:

Two equilateral triangles and a square are join together.

So, in a equilateral triangle all the angles are equal. which means an angle measures 60 degrees.

Also in a square all the angles are equal . it measures 90 degrees.

x = two triangle = 60 +60

square = 90

[tex]60 + 60 + 90 \\ = 210[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

PLEASE HELP! WILL MARK THE FIRST CORRECT ANSWER BRAINLIEST!
There are n gallons of gas in a tank. After x gallons have been used, in terms of n and x, what percent of the gas has not been used?

Answers

Answer:

((n-x)/n)*100

Step-by-step explanation:

The Answer is:

((n-x)/n)100

Consider the following linear system.

Answers

Answer:

k= 10

Step-by-step explanation:

2x - 5y = 15

ky = 20 +4x

Solve the first equation for  y

-5y = -2x +15

Multiply by -2

10y = 4x - 30

If k = 10 then the slopes are the same, but the y intercepts are different.

The lines are parallel.  They will never intersect, and they have no solution

Answer:

D

Step-by-step explanation:

- 5y = - 2x +15

10y = 4x - 30

if k = 10, then the y intercepts are different, and the lines--being parallel--don't ever meet, so k = 10 would result in 0 solutions.

Hope this helps!

the student is asked to solve the equation below and to justify her his step what if anything is the first mistake the student made
15/17y=-3​

Answers

Answer:

the correct answer should be -2.65

Step-by-step explanation:

the mistake is dividing 17y by 15 instead of 17

a park has a 3 meter (m) tall tether ball pole and a 6.8 m tall flagpole. the lengths of their shadows are proportional to their heights. which of the following could be the lengths for the shadows. choose two answers

Answers

Answer:

Step-by-step explanation:

6.8/3 is the scale factor

1.35*(6.8/3)=3.06

1.8*(6.8/3)=4.08

3.75*(6.8/3)=8.5

8.5-8.35=0.15

3.4-3.06=0.34

since C is closer to the right proportion, if there is no option D, it should be the 2 answer you choose

Option B is definetly right, but what about another option, is there an option D?

I need help with this question get brailiest

Answers

Answer:

Mini golf: $10.00, batting cage: $2.50

Step-by-step explanation:

We have that 5 mini golf + 4 batting = 60, and 3 mini golf + 6 batting = 45.

Let m=mini golf price, and b=batting cage price.

Then 5m+4b=60 and 3m+6b=45.

We can multiply the first equation by 3 and second by 5 to get

15m+12b=180

15m+30b=225

Subtract the two to get -18b=-45, so b=45/18=$2.50

Then m=$10 if you substitute b back in the first equation.

Hope that helped,

-sirswagger21

Answer:

mini golf10:00 batting cage 2:50

Step-by-step explanation:

Given the original statement "If a number is negative, the additive inverse is positive," which are true? Select three options.
If p = a number is negative and g = the additive inverse is positive, the original statement is p - 9.
If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is p -9.
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~g - p.
If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is perq.
Ulf g = a number is negative and p = the additive inverse is positive, the converse of the original statement is 9 - p.

Answers

Step-by-step explanation:

If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is q → p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.

what’s the best answer ???

Answers

Answer:

Option A

Step-by-step explanation:

Slope is: [tex]m=\frac{\text{Rise}}{\text{Run}} =\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-4,3) and (3,1).

[tex]m=\frac{1-3}{3-(-4)}=\frac{-2}{7} =\boxed{-\frac{2}{7}}[/tex]

Option A should be the correct answer.

i would say the answer is -2/7

help help help help help help help ​

Answers

Answer:

The answer would be C

Step-by-step explanation:

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