Answer:
(1,0)
Step-by-step explanation:
The given functions are:
f(x) = log₂x
and
g(x) = log₁₀x
We know that logarithm of 1 is always zero.
This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1
Therefore the point the graphs of f and g have in common is (1,0)
Answer:
A and C.
Step-by-step explanation:
We add the real part and the imaginary part separately.
Adding A and C will give us 10 - 3i:
-3 - 4i + 13 + i
= -3 + 13 - 4i + i
= 10 - 3i.
Hello :
<span>5cosθ = 3cosθ - 1.
</span><span>5cosθ - 3cosθ = 1.
2cos</span>θ =1
cosθ =1/2
all solutions :
cosθ =cos<span>π<span>/3
</span></span>all solutions :
θ =π/3 +2kπ or θ = - π/3 +2kπ ....k in Z
Answer:
The numbers of measure of music played are 1 and 7
Step-by-step explanation:
Given
Required
Solve for x when s = 80
Substitute 80 for x
Subtract 50 from both sides
Divide through by 10
Reorder
This can be split into
or 
Solve for x
or 
or 
Hence:
<em>The numbers of measure of music played are 1 and 7</em>
Answer:
B. y = 1/3x
Step-by-step explanation:
The slope of the given line is -3, so the slope of the perpendicular line will be the negative reciprocal of that: -1/(-3) = 1/3. This eliminates choices A and C.
We can find the y-intercept (b) if we use the given point values in the equation ...
y = 1/3x +b
we get ...
-2 = (1/3)(-6) +b
-2 = -2 +b . . . simplify
0 = b . . . . . . . add 2
So, the equation of the perpendicular line through the given point is ...
y = 1/3x . . . . matches choice B
_____
<em>Alternate solution method</em>
You can try the given point in the given equations. You will find that only the equation of choice B will work.
