Answer: A
Step-by-step explanation:
If you look only at the ranges provided for x A is the only one that fits the graph. The domain of the first function (
) is everything equal to or less than 2. The equal to is represented by the closed circle at point (2,5) which represents that this value is included for that function. The other function continues on with values greater than 2, but does not include the x value 2 as it has an open circle at point (2,10).
We can solve for x by raising both sides to the -3 power (which is the reciprocal of -1/3):
(c^-1/3)^-3 = x^-3
c^1=x^-3
c=x^-3
Since the exponent on the x is a negative, we have to move it to the denominator to make it positive:
c= 1/x³
Answer:
13/35
Step-by-step explanation:
13 students choose football.
31 students choose tennis.
this leaves 26 students that chose running.
probability of choosing running is 26/70 = 13/35
1)We have to make a line perpendicular to y=2x+3, passing through the point (0,0).
y=2x+3
m=solpe=2
The slope of the line perpedicular to y=2x+3 is m´
m´=-1/m
m´=-1/2
Point slope form:
y-y₀=m(x-x₀)
(0,0)
m=-1/2
y-0=-1/2(x-0)
y=-x/2
Therefore, the line perpendicular to y=2x+3 is y=-x/2.
2)The point on the line y=2x+3 tha is closest to the origin is the point of intersection of the two lines.
y=2x+3
y=-x/2
We can solve this system of equations by equalization method.
2x+3=-x/2
least common multiple=2
4x+6=-x
4x+x=-6
5x=-6
x=-6/5 (=-1.2)
y=-x/2
y=-(-6/5)/2=6/10=3/5 (=0,6)
Therefore: the point of the line y=2x+3 that is closest to the origin is:
(-1.2 , 0.6)
Is this for a quiz? It looks familiar
