Answer:
A rational expression that has the nonpermissible values 
and 
is 
.
Step-by-step explanation:
A rational expression has a nonpermissible value when for a given value of 
, the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:
(1)
Then, the factorized form of 
must be:
(2)
If we know that 
, then the rational expression is:
(3)
A rational expression that has the nonpermissible values and is .
Group 'em together
a
b
−
a
+
1
−
b
a
b
−
a
=
a
(
b
−
1
)
Notice that there will be a 1 as without it it'll simply be ab
1
−
b
=
1
(
1
−
b
)
Notice that it doesn't match with the upper one... so we'll change the signs
1
(
1
−
b
)
=
−
1
(
b−
1
)
(try to multiply them now!!
Jot them down in one expression
a
(
b
−
1
)
−
1
(
b
−
1
)
You get!!!!!!
(
a
−
1
)
(
b
−
1
)
Answer:
left limit = 2 ≠ 1/2 = right limit
Step-by-step explanation:
A function is discontinuous if the limit of the function value approaching the point from the left is different than the limit approaching from the right.
Here, the left limit is 2 and the right limit is 1/2. The limits are different, which is why the function is discontinuous at x=-1.
Answer:
16% is 4/25 15% is 3/20 14% is 7/50 13% is 13/100 12% is 3/25 11% is 11/100 10% is 1/10 9% is 9/100 8% is 2/25 7% is 7/100 6% is 3/50 5% is 1/20 4% is 1/25 3% is 3/100 2% is 1/50 and 1% is 1/100
Step-by-step explanation:
If you want to find a percent you have to put that number over 100 so say I was looking for 20% you would put 20/100 then you would reduce by dividing if they can and both can be divided by two so it would then be 10/50 then those can be divided by 10 so it would be 1/5
Answer: See below
Step-by-step explanation:
For the first one, we are already given our slope. All we need to do is find the y-intercept, b.
y=-2x+b
6=-2(-3)+b
6=6+b
b=0
The slope-intercept form is y=-2x.
For the second one, we need to first find the slope using 
.
Now that we have our slope, we can plug it into our slope-intercept form to solve for b.
The slope-intercept form is 
.
For the third one, we are already given the slope, so all we have to do is find b.
The slope-intercept form is 
.
For the last one, we need to first find the slope using .
Now that we have our slope, we can plug it into our slope-intercept form and find b.
Our slope-intercept form is 
.
