Answer:
(a) x > 4 (b) y < -2
Step-by-step explanation:
Domain is referring to the x-values while the range is referring to the y-values.
Since the function (the line) has a circle at the point (4, -2), the function will be exclusive at that coordinate.
The line goes to infinity for the x-values from 4, so you write x > 4 or ∞ > x > 4.
Similarly, the line goes to infinity for the y-values from -2, so you write y < -2 or -∞ < y < -2.
<h3><u>4(2x^2 + 3x + 12)</u></h3>
We can factor a 4 out of this expression.
4(2x^2 + 3x + 12)
Now that the expression is simplified, we can see if splitting the middle term is possible.
<em><u>Display factors of 24.</u></em>
1 * 24
-1 * - 24
2 * 12
-2 * -12
3 * 8
-3 * - 8
4 * 6
-4 * -6
All factors of 24 have been listed, and none of these digits satisfy the criteria.
Trinomial cannot be further factored.
Answer:
Option D is correct.
The measure of 
Step-by-step explanation:
is isosceles and
and
are base angles.
Isosceles Triangle:
A triangle with two equal sides, and two congruent base angles that means the angles are equal
By the definition, the base angles are equal i.e, 
Since, YZ bisects
Angle Bisector theorem: An angle bisector is a line or ray that divides an angle into two equal angles
then,
or
Substitute the value of
;

The sum of measures of these three angles of triangle WXY is equal to the 180 degree.
In triangle WXY we have;

Substitute the value of
and
in above formula:
or
Simplify:

Combine like terms ;
or

Simplify;

Substitute the value of x in
;

Therefore, the measure of 
Answer:
f'(x) = 5[1 + f²(x)]
Step-by-step explanation:
By definition, f'(x) = lim h => 0 {[f(x + h) - f(x)]/h}
This was used, together with the given limits:
lim x => 0 f(x) = 0
lim x => 0 f(x)/x = 5,
to determine the derivative of the given function:
f(x + y) = [f(x) + f(y)]/[1 - f(x)f(y)].
The workings are shown in the attachments.
Answer:
product of the 2 solutions
Step-by-step explanation:
4x - 21 = 0
4x = 21
x = 21/ 4
x = 5.25