Using linear function concepts, it is found that the speed of the motorboat is of 22 miles per hour.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, each second, the position increased by 22, hence the slope is of 22. Since velocity is the distance divided by the time, which in this problem is the slope, the speed of the motorboat is of 22 miles per hour.
More can be learned about linear function concepts at brainly.com/question/24808124
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Answer:
you have to add them together
Answer:
x=4 and y=2
Step-by-step explanation: Step 1: Solve x+3y=10 for x:
x+3y=10
x+3y+−3y=10+−3y(Add -3y to both sides)
x=−3y+10
Step 2: Substitute−3y+10for x in2x+2y=12:
2x+2y=12
2(−3y+10)+2y=12
−4y+20=12(Simplify both sides of the equation)
−4y+20+−20=12+−20(Add -20 to both sides)
−4y=−8
−4y
−4
=
−8
−4
(Divide both sides by -4)
y=2
Step 3: Substitute 2 for y in x=−3y+10:
x=−3y+10
x=(−3)(2)+10
x=4(Simplify both sides of the equation)
So your answer would be x=4 and y=2
Hope this helps
300 messages would have to be sent or received in order for the plan to cost same each month.
Step-by-step explanation:
Given,
Cost per month = $30
Per text sent or received charges = $0.10
Let,
x be the number of texts sent or received.
A(x) = 0.10x+30
A comparable plan costs = $60 per month
Text messages are unlimited.
B(x) = 60
For the two plans to cost equal;
A(x) = B(x)
Dividing both sides by 0.10
300 messages would have to be sent or received in order for the plan to cost same each month.
Keywords: function, addition
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The equation for the season pass would look like:
y=25x+350
Daliy pass:
y=67x+25x or y=92x
x is the amount of days and y is the total cost.
92x=25x+350 This equation will be how many days the cost will be equal
67x=350
x=5.223
The skier would have to go up 6 days to start saving from the season pass
