Answer:
- 21
Step-by-step explanation:
The minimum value occurs at the vertex of the function
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Given
f(x) = x² - 6x - 12
add/ subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 - 12
= (x - 3)² - 21
with vertex = (3, - 21 )
The minimum is the value of k, that is minimum value = - 21
Answer:
The part where the two rays meet is you solution
Step-by-step explanation:when graphing your solution, you are going to have two rays that will cross if there is one solution, that will be the solution. if they never meet, there is no solution to your problem, but if they are on top of each other, there are infinite solutions.
18- j
19- c
20- h
Hope this is right lol
Answer:
y=1/2x+3.5
Step-by-step explanation:
this one was a bit trickier than the previous one, but i think that that answer is correct. i did the same thing i did to solve your last problem, solved for the slope, and then made a number line and marked the points given, drew a line through the two points, and found where the line intercepted the y axis.
<span>f(x) =6x +4 replace x with 10 and solve
f(x)= 6(10) + 4
f(x) = 64</span>
