Graph f(x)=2x and g(x)=2^x on the same coordinate plane. What is the solution to the equation f(x)=g(x) ? Enter your answer in t
he box.
2 answers:
Answer:
Step-by-step explanation:
The graph of the two functions are shown on the same diagram in the attachment above;
The solution to the equation is where the two graphs intersected.
These points are
Answer:
The solution of f(x)=g(x) is (1,2) and (2,4).
Step-by-step explanation:
Given two functions f(x) and g(x) that are
f(x)=2x and
We have to graph these function on the same coordinate plane and also have to find the solution to the equation f(x)=g(x).
The graph is shown in attachment.
The graph of these two functions meet at the points (1,2) and (2,4).
Hence, gives the solution at these two points.
The solution of f(x)=g(x) is (1,2) and (2,4).
You might be interested in
The question is attached in the image.
1- Carlo thinks he will go to the gym 20 times this month. Calculate how much each of these options will cost Carlo for one month.
a- Pay as you go:
Total cost = 6 * 20 = $120
b- Regular deal:
Total cost = 50 + 2(20) = 50 + 40 = $90
c- All-in-one-price:
Total cost = $100
d- The least expensive for Carlo in this case would be the regular deal.
2- How many visits each month would make the cost of the Regular-Deal and the All-in-one the same?
Assume number of visits is x.
Regular deal = All in one
50 + 2x = 100
2x = 100 - 50
2x = 50
x = 25 visits
3a- It costs $300 to join the new Superfit Gym. You then pay $15 each month and $2 each time you work out. Carlo thinks he will use the gym 20 times each month for a year.
Calculate the cost of the Superfit gym for one year.
Total cost = initial payment + 15*number of month + 2*days of workout
initial payment = $300
15*number of months = 15 * 12 = $180
2*days of workout = 2*20*12 = $480
Total cost = 300 + 180 + 480 = $960
3b- How much will Carlo save during the first year if he uses the Superfit gym rather than the regular deal at the other gym?
First we will calculate the total cost of one year using the regular deal at the other gym as follows:
Total cost at other gym = monthly cost + cost of each workout
Total cost at other gym = 50(12) + 2(12)(20) = $1080
Then, we will calculate the difference to know the amount Carlo would save as follows:
Carlo would save = 1080 - 960 = $120
Hope this helps :)
1- Carlo thinks he will go to the gym 20 times this month. Calculate how much each of these options will cost Carlo for one month.
a- Pay as you go:
Total cost = 6 * 20 = $120
b- Regular deal:
Total cost = 50 + 2(20) = 50 + 40 = $90
c- All-in-one-price:
Total cost = $100
d- The least expensive for Carlo in this case would be the regular deal.
2- How many visits each month would make the cost of the Regular-Deal and the All-in-one the same?
Assume number of visits is x.
Regular deal = All in one
50 + 2x = 100
2x = 100 - 50
2x = 50
x = 25 visits
3a- It costs $300 to join the new Superfit Gym. You then pay $15 each month and $2 each time you work out. Carlo thinks he will use the gym 20 times each month for a year.
Calculate the cost of the Superfit gym for one year.
Total cost = initial payment + 15*number of month + 2*days of workout
initial payment = $300
15*number of months = 15 * 12 = $180
2*days of workout = 2*20*12 = $480
Total cost = 300 + 180 + 480 = $960
3b- How much will Carlo save during the first year if he uses the Superfit gym rather than the regular deal at the other gym?
First we will calculate the total cost of one year using the regular deal at the other gym as follows:
Total cost at other gym = monthly cost + cost of each workout
Total cost at other gym = 50(12) + 2(12)(20) = $1080
Then, we will calculate the difference to know the amount Carlo would save as follows:
Carlo would save = 1080 - 960 = $120
Hope this helps :)
Answer:
3.167353103 meters
Step-by-step explanation:
The volume of a sphere can be found using:
v=4/3πr^3
We know that 133.1 is the volume, so we can substitute 133.1 in for v
133.1=4/3πr^3
To solve for r, we need to get by itself. First, divide both sides by 4/3π
133.1/ 4/3π= 4/3πr^3/ 4/3π
31.7752843883=r^3
Since r is being raised to the 3rd power, take the cubed root of both sides
3.167353103=r
So, the radius is 3.167353103 meters