Answer:
Step-by-step explanation:
we have
Find the inverse function
step 1
Let
y=f(x)
step 2
Exchanges variables, x for y and y for x
step 3
isolate the variable y
step 4
Let
Answer:
Equation: $83=5w+25 and 12 walks more
Step-by-step explanation:
Here is an equation: $83=5w+25
The $83 on the left represents the $83 goal for the bike (or the total amount of money that Taylor needs)
The 5w represents that Taylor earns $5 per time she walks the dog, with the w being the number of walks.
The +25 shows that Taylor has already earned $25 from walking the dog. (Not sure if you need it, but the $25 took 5 dog walks –– 5•5=25)
To solve:
83 = 5w + 25 –– Subtract 25 from both sides to get the variable term alone
58 = 5w –– Divide both sides by 5 to get w alone
11.6 = w –– <u>Round this up to 12</u> because you can't really do 3/5 of a walk (this means Taylor needs to walk the dog 12 more times to earn enough to buy the bike)
Check:
83=5w+25 –– Replace w with 12
83=5(12)+25 –– Multiply
83=60+25 –– Add
83=85 –– <u>This shows she will have $2 left over</u>
Answer: 8 pounds 10 ounces
Step-by-step explanation:
7 ± 1 ⇒ 8
2 ± 8 ⇒ 10
⇒ 8 pounds 10 ounces
Answers:
Distance = 14 km
Displacement = 4 km east
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Explanation:
The total distance is simply the sum of the values given. So he traveled a total of 5+4+5 = 9+5 = 14 km overall.
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The displacement is where a drawing may come in handy. Draw an xy axis. Place point A at the origin (0,0). This is where Michael starts his trip. Then move up to (0,5) to indicate he goes 5 km north. Call this point B.
Afterward, mark point C at (4,5) to show he has gone 4 km east. Finally, point D is at (4,0) because he went 5 km south
The displacement is only concerned with two points: The start and end point. Nothing else matters. We started at A(0,0) and ended at D(4,0). So we've gone 4 km east overall. The direction is important when it comes to displacement. Simply saying "4 km" isn't enough. So in a sense, we could take a shortcut from A directly to D, bypassing the other points B and C.
See the diagram below for a visual.
Answer:
$26.25
Step-by-step explanation:
We are told that Marco needs to buy some cat food. At the nearest store, 3 bags of cat food cost $15.75.
First of all we will find cost of 1 bag of cat food by dividing 15.75 by 3.
Now we will find the amount that Marco has spend for 5 bags of cat food by multiplying 5.25 by 5.
Therefore, Marco has spend $26.25 for purchasing 5 bags of cat food.