y = 3x - 3 is the equation of the linear function passing through (2, 3) and (5, 12)
<em><u>Solution:</u></em>
Given that we have to find the equation of linear function passing through (2, 3) and (5, 12)
The formula y = mx + b is said to be a linear function
Where "m" is the slope of line and "b" is the y - intercept
Let us first find the slope of line
Substituting values we get,
Thus slope of line is m = 3
To find the y - intercept, substitute m = 3 and (x, y) = (2, 3) in y = mx + b
3 = 3(2) + b
3 = 6 + b
b = 3 - 6
b = -3
Thus the required equation of linear function is:
Substitute m = 3 and b = -3 in formula
y = mx + b
y = 3x - 3
Thus the equation of linear function is found
Answer:
108
Step-by-step explanation:
We can rewrite f(x+2) to make it easier to evaluate:
f(x+2) = (6x +5)x -8
Since we want f(6), we want x+2 = 6, or x=4.
f(6) = (6·4 +5)·4 -8 = 29·4 -8
f(6) = 108
Answer:
5
Step-by-step explanation:
Oranges: 3.46 $
Grapes: 1.36 $
Apple: They didn't leave you with the cost of the apple so I don't know
Add 3.46 plus 1.36 and you get 4.82. Then round that to 5.00.
Answer:
(3,2)
Step-by-step explanation:
Let's solve this via elimination method:
By subtracting equation 2 from equation one we obtain:
Next we can use any equation either 1 or 2 to determine what x is, I'll use equation 1. Let y=2 and so:
Therefore the solution for the system of equations is:
x=3 and y = 2 as an ordered pair we have (3,2)
Answer:
The number of students who liked the book was 64.
Step-by-step explanation:
After reading a book for English class, 100 students were asked whether or not they enjoyed it.
Now, given that nine twenty-fifths of the class did not like the book.
So, 
of the whole class did not like the book.
Then, the fraction of the class who did like the book was 
.
Therefore, the number of students who liked the book was 
. (Answer)
