Answer:
a)
, b)
or
, c)
or 
Step-by-step explanation:
a) The function is solved by factorization:

b) The function has the following form:


The roots of the polynomial are found by factorization:

or 
c) The function has the following form:


The roots of the polynomial are determined by the General Formula for the Second-Order Polynomial:




1. The equations are Consistent and Independent because they intersect at only one point.
2. The equations are Consistent and dependent because there are infinite solutions.
3. The equations are Inconsistent because they never intersect.
4. The equations are Consistent and Independent because they intersect at only one point.
I hope this helps :)
Answer:
Option D) B and C
Step-by-step explanation:
we know that
To find out the percentage of high school teachers that have a second job, divide the number of teachers that have a second job by the total number of teachers
<em>Survey A</em>

Convert to percentage

<em>Survey B</em>

Convert to percentage

<em>Survey C</em>

Convert to percentage

<em>Survey D</em>

Convert to percentage

Compare the percentages
Surveys B and C have the same percentage
therefore
Surveys B and C show proportional results, because the ratio of the number of teachers that have a second job by the total number of teachers is equal (this number is the constant of proportionality k in a proportional relationship between two variables)
Answer:
4
Step-by-step explanation:
27-15=12
12/3=4
As is shown in the figure attached:
1. "A" and 76º are congruents, because they are Alternate Interior angles, so A=76º.
2. "D" and "x" are congruents,
because they are Alternate Interior angles, so x=38º.
3. "A", "B" and "C" form a the triangle ABC. Then, we remember sum of the interior angles of a triangle is 180º, so we have:
76º+38º+B=180º
B=180º-76º-38º
B=66º
4. By definition, an exterior angle of a triangle is equal to the sum of the opposite interior angles to it. So, we can calculate the exterior angle "y" of the triangle ABC, as follows:
The opposite angles are: 76º and 66ª. Then, we obtain:
y=76º+66º
y=142º
Therefore, the answer is: The value of y is 142º.