Step-by-step explanation:
The problem states that you have a linear function so expect your equation to have this form:
y = mx + b
where m is the slope and b is the y-intercept. You are also given two points: P1(5, 6) and P2(14, 60). Use these points to solve for the slope m.
m = (y2 - y1) / (x2 - x1) = (60 - 6)/(14 - 5)
= 54/9 = 6
So our equation now becomes
y = 6m + b
To solve for b, plug in the values of P1:
6 = 6(5) + b ---> b = -24
Therefore, our equation is
y = 6m - 24
The rest of the points are
(8, 24)
(11, 42)
The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.
<h3>What is the volume of a cone?</h3>
The volume of the cone is given by;
The volume of a cone with a diameter of 30 feet and a height of 60 feet.
The radius of the cone is;
Substitute all the values in the formula
Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.
Learn more about the volume of cone here;
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Answer:
A)6
B)x 2
C)x
Step-by-step explanation:
The linear equation that represent the left balance of sanjaya’s y after visiting x number of days is:
y = 10x + 500.
<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.
From the data given, we have that:
- The y-intercept is of 500.
Hence the balance is given as follows:
y = 10x + 500.
More can be learned about linear functions at brainly.com/question/24808124
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