Answer:
196
Step-by-step explanation:
The discriminant (Δ) is given by:
Where the polynomial is in the form:
In this problem, a = 1, b = 0, and c = -49. Thus, plugging it into the formula:
Thus, the discriminant of x² – 49 = 0 is 196.
Use the graph of f to estimate the local maximum and local minimum.
1 answer:
Answer:
Option (4)
Step-by-step explanation:
From the graph attached,
A, B and C are the points based at the heights and valleys of the given curve.
y-coordinates of these points always decide, whether the point is a local maxima or local minima.
y-coordinate of A → -4
y-coordinate of B → 0
y-coordinate of C → -4
Ends of the curve are moving towards infinity, so the absolute maximum is not defined.
Local minimum → -4
Local maximum → 0
Therefore, point representing local maximum is B(0, 0).
Points representing local minimum are A(-2, -4) and C(2, -4).
Option (4) will be the correct option.
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Answer:
y = 3x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line
m = =
= 3
Note the line crosses the y- axis at (0, - 4) ⇒ c = - 4
y = 3x - 4 ← equation of line
Answer:
x=0
x=10
x=24
Step-by-step explanation:
f(x) = -.05x^2 + x +6
The initial value is 6 ( Let x=0 and f(0) = 6)
f(x) = -.05( x^2 -20 x -120)
I plotted the equation and maximum is at x=10 and the zero is at x=25
