Vertex aka max or min point is found by -b/2a in form
f(x)=ax^2+bx+c
f(x)=-1x^2+8x+20
vertex x value is -8/(2)(-1)=-8/-2=4
input back to find y value
f(4)=-(4^2)+8*4+20
f(4)=-16+32+20
f(4)=36
max (since the graph opens down) is (4,36)
axis of symmetry is the x coordinate
max is (4,36)
axis of symmetrry is x=4
Answer:
{ x | x < 2 or x > 8}
Step-by-step explanation:
Given the expression
(x + 3 < 5) U (x - 7 > 1).
Solve x+3 < 5
Subtract 3 from both sides
x+3 - 3 < 5-3
x < 2
For x - 7 > 1
Add 7 to both sides
x-7+7 > 1 + 7
x > 8
Hence the union of both is { x | x < 2 or x > 8}
To get the answer we have to tranform into y=ax+b form
-2x+4y=68 /+2x
4y=2x+68 /:4
y=
- its the result
13x+4y=284 /-13x
4y=-13x+284 /:4
y=
y=-
- its the result
4 because all of the others involve multiplication and 4 involves addition.
Step-by-step explanation:
sin and tan are the only ones with p positive valued
