Well, notice, we can pretty much see the x-intercepts if we set f(x) = 0, clearly they're just 6 and -2,
now, this is a quadratic equation, since it only has 2 solutions at most, recall your fundamental theorem of algebra.
so, the vertex will be right in middle of those two x-intercepts.
what's between -2 and 6?, well is +2 or just 2, so
x = 2.
so we know the x-coordinate for the vertex is the halfway point of 2, what's the y-coordinate?
f(x) = y = (
2 - 6)(
2 + 2)
y = ( - 4)( 4 )
y = -16thus the vertex is at, well you already know.
Answer:
4826809 and 6
Step-by-step explanation:
(a)
Given
{ 5² + 12² }³ ← evaluate contents of bracket
= (25 + 144)³
= 169³
= 4826809
(b)
Evaluate contents of parenthesis
= (1 + 8 + 27) = 36, that is
= = 6
Answer:
The 95% confidence interval is from 64 to 88
Step-by-step explanation:
The confidence interval has two values.
The lower limit, that is the mean subtracted by the margin of error.
The upper limit, that is the mean added to the margin of error.
So the 95% confidence interval is
76-12 to 76+12 = 64 to 88