Answer:
<u>Domain = R - {3/2}</u>
Step-by-step explanation:
The domain of a rational function consists of all the real numbers x except those for which the denominator is 0
The given function is :
We need to find the zeros of the denominator
∴ 2x - 3 = 0 ⇒ add 3 to both sides
∴ 2x = 3 ⇒ divide both side by 2
∴ x = 3/2
The domain will be all real number except the zeros of the denominator.
So, Domain = R - {3/2}
Also, see the attached figure that represents the given function.
Answer:
Simplify and solve and get x=-5
Step-by-step explanation:
2/3x - 1/2= 1/3 + 5/6x
2/3x - 5/6x= 1/3 + 1/2
-1/6x= 5/6
x=-5
1 + (-5/8) = 3/8
Explanation: If the coffee wasn’t drank it would’ve been at fraction 1 (or 100%)
Since he drank 5/8 of it. The coffee left is now 1-(5/8)
But since the question has asked to give the equation in addition format. Put a plus sign in between the two.
Therefore,
1 + (-5/8)
Solve it,
= 1-(5/8)
= (8-5)/8
= 3/8
Hence the equation is:
1 + (-5/8) = 3/8.
Y-y1=m(x-x1)
a point on the line is (x1,y1) and the slope is m
so
slope between (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
so
points (-2,3) and (3,0)
slope is (0-3)/(3-(-2))=-3/(3+2)=-3/5
a point is (3,0) Or (-2,3)
so it could be
y-0=-3/5(x-3) or y-3=-3/5(x-(-2)) which is equal to y-3=-3/5(x+2)
that's the answer
B is answer
