Option B: 
is the correct answer.
Explanation:
The exponential equation is 
If 
, then 
Thus, the equation becomes
Applying log rule, 
and thus the equation becomes
Since, we know that, 
, using this we get,
Hence, the logarithmic equation which is equivalent to the exponential equation is
Thus, Option B is the correct answer.
Answer:
See explanations below
Explanation:
Vertex of a graph is the lowest point on the curve. The vertex occurs at (1.75, -2.5)
The axis of symmetry is the point on the x axis of the line that cuts through the minimum point. The axis of symmetry occurs at x = 1.75
x intercept is the point where the curve cuts the x axis. The x intercept occurs at x = 0 and x = 2.5
To get the minimum, we will use the formula;
c - b^2/4a
The equation of the curve is expressed as;
(x-0)(x-2.5)
= x (x-2.5)
= x^2 - 2.5x
a = 1, b = -2.5, c = 0
minimum = 0 - (-2.5)^2/4(1)
minimum = -6.25/4
minimum = -1.5625
Minimum value occurs at the base of the parabola. The minimum value of the function is -2.5
y intercept is the point where the curve cuts the y axis. The y-intercept occurs at y = 0.
Hope this helps :) picture below
Answer:
O x = - 6 or x = 2
Step-by-step explanation:
x² + 4x - 4 - 8 = 0
x² + 4x - 12 = 0
x² + 6x - 2x - 12 = 0
x(x + 6)x - 2(x + 6) = 0
(x + 6) (x - 2) = 0
x + 6 = 0 or x - 2 = 0
x = - 6 or x = 2
Thus, x = - 6 or x = 2
<u>-TheUnknown</u><u>Scientist</u>
Answer:
x = 30
Step-by-step explanation:
x and 30° are alternate angles and congruent, thus
x = 30
