Answer:
x = 10
Step-by-step explanation:
Using the rules of logarithms
• log x + log y ⇔ log(xy)
• log
⇔ n log x
• log x = log y ⇒ x = y
Given
ln20 + ln5 = 2 lnx , then
ln(20 × 5) = ln
ln 100 = ln, hence
x² = 100 ( take the square root of both sides )
x = 10
ANSWER
a relation only
EXPLANATION
The given graph shown in the attachment represents only a relation and not a function.
The reason is that, a vertical line drawn across this graph will intersect this graph at more than one point.
Since the graph fails to pass the vertical line test, the ordered pair represented by this graph represents a relation only.
Step-by-step explanation:
sometimes ....................
Step-by-step explanation:
the slope of a line function is always the factor of x.
in our case : -1/4
it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.
in our case y decreases by 1 for every x increase by 4.
now, the perpendicular slope simply changes x and y upside-down and flips the sign.
in our case it is : 4/1 = 4
so, the line function in point slope form is then (using the new slope and the point coordinates)
y - 3 = 4(x - 1)
