Y=-3x^2+18x-25 move constant to other side
y+25=-3x^2+18x make leading coefficient 1 by dividing every thing by -3
(y+25)/-3=x^2-6x halve the linear coefficient, square it, add it to both sides...ie (-6/2)^2=9, so add 9 to both sides
(y+25-27)/-3=x^2-6x+9 now the right side is a perfect square
(y-2)/-3=(x-3)^2 now multiply both sides by -3
y-2=-3(x-3)^2 add 2 to both sides
y=-3(x-3)^2+2
f(x)=-3(x-3)^2+2
So the vertex here is an absolute maximum for the parabola as anything squared and then multiplied by a negative will decrease the value of y.
So the absolute maximum for f(x) occurs at the vertex (3, 2)
Answer:
Suppose that the coordinates of the vector are (3, 4). You can find the angle theta as the tan–1(4/3) = 53 degrees. So if you have a vector given by the coordinates (3, 4), its magnitude is 5, and its angle is 53 degrees.
Step-by-step explanation:
hope this helps mark me as brainliest pls :)
3x+2=5x-2
2x=4
x=2 i think is the answer im not sure if i got it right im sorry if i did get it wrong
The function that represents the number of people at the fair after x hours is f(x) = 68 + 1.5x
What is the function that represent the number of people at the fair?
The function that represents the number of people at the fair is known as a linear function. A linear function is any function that graphs to a straight line. The dependent variable in the linear function increases by a constant number.
Linear functions can be represented by : y = mx + c
Where:
- y = dependent variable
- c = constant
f(x) = 68 + (1.5x)
To learn more about linear functions, please check: brainly.com/question/26434260
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Answer: 160 teenagers
Step-by-step explanation: it is right
