Erica had 6 coins in her coin collection. she goes to a coin show and buys some coins. how many dose she have now?
1 answer:
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y = - x +
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 4x + 5 is in this form with slope m - 4
Given the slope of a line m, then the slope () of a line perpendicular to it is
= - (1 / m ) = -
y = - x + c is the partial equation of the perpendicular line
to find c, substitute ( 2, 7 ) into the partial equation
7 = - + c ⇒ c =
y = - x +
← equation of perp. line
Answer:
So, Domain = {set of all the real numbers except 3, 5}
Interval notation = {x ∈ set of all real numbers/ x ≠3 and x ≠ 5}
Step-by-step explanation:
The given function is f(x) =
Here we need to find the domain.
To find the domain, let's find the restricted domain.
If we set the denominator equal to zero and solve for x, we can find the restricted domain.
Here the denominator is
Now we can factorize and solve for x.
(x - 3)(x - 5) = 0
(x - 3) or (x - 5) = 0
x -3 = 0 and x - 5 = 0
Solving the above equations, we get
x = 3 and x = 5
The restricted domains are x = 3 and x = 5.
Now we can find the domain.
Except 3 and 5, all the real numbers can be domain of this function.
So, Domain = {set of all the real numbers except 3, 5}
= {x ∈ set of all real numbers/ x ≠3 and x ≠ 5}.