Answer:
a) -6
b) 3
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a) 12
b) -2
Step-by-step explanation:
The initial value of the line is always the constant at the end of the equation.
The rate of change is always the coefficient of x.
Answer:
20
Step-by-step explanation:
617/28= 22 (rounded too)
617/32= 19 ( rounded too)
19-22 is teh amount of classes that can be filled with 28 to 32 students.
20 is correct because it is around the amount of classes that there can be. !4 is too little so the number of students should be smaller.
30 and 60 classes are to big. there would only be about 10 or 20 kids per class
Answer:
x = -3 + i√6 and x = -3 - i√6
Step-by-step explanation:
Let's apply the "completing the square" method to find the roots of this equation.
Take half of the coefficient 6 of x, square it and add this result to x^2 + 6x. Then subtract the same quantity:
x^2 + 6x + 15 becomes
x^2 + 6x + 3^2 - 3^2 + 15 = 0
Rewriting the first three terms as the square of a binomial, we ge:
(x + 3)^2 - 9 + 15 = 0, which simplifies to:
(x + 3)^2 + 6 = 0, or (x + 3)^2 = -6
Taking the square root of both sides:
x + 3 = ±i√6
Then the two roots are complex:
x = -3 + i√6 and x = -3 - i√6
Answer:
f ( x ) = -3x + 1
to find it's inverse let f(x)= y
y= -3x + 1
x = - 3y + 1
-3y = x -1
y = -(x -1)/3
Hope this helps.
Answer:
Answer:
f(x) = 5 + 2x
y+4x^2-1 is the same as y=-4x^2+1, then replace y with f(x); f(x)=-4x^2+1. After you do that, replace x with 2; f(2)=-4(2)^2+1. 2^2=4, 4 times -4=-16, -16+1=-15. So f(2)=-15.
