You are right about the domain.
Answer: y=-3x+29
Step-by-step explanation:
First put in y-intercept form to find the slope

Slope of the 1st equation is 1/3- the slope of the line perpendicular is the opposite reciprocal, so in the case it is -3
Use the point and the new slope to write the new equation in point slope format

Answer: The maximum number of people who could answer yes for both cat and dog is 7.
Step-by-step explanation: Given that a survey of 100 people asked if they have a dog or a cat.
Out of those 100 people, 56 people answered yes for dog and 51 people answered yes for cat. Some people may own neither and some people may own both animals.
We are to find the maximum number of people that could answer yes for both cat and dog.
Let A and B represents the set of people that answered Yes for dog and Yes for cat respectively.
Then, according to the given information, we have

From Set Theory, we have

Since the total number of people is 100, so we get

Therefore, from equation (i), we get

Thus, the maximum number of people who could answer yes for both cat and dog is 7.
Answer:m<b=m<d+125 degrees
Step-by-step explanation:
Answer:
The answer is below
Step-by-step explanation:
P(x) is a polynomial with integer coefficients and p(-3) = 0.
Which statements must be true? Choose all that apply.
x + 3 is a factor of the polynomial.
x - 3 is a factor of the polynomial.
-3 is the constant term of the polynomial.
p(x) can have at most 3 linear factors.
Solution:
Polynomial is an expression composed of variables, constants and exponents linked together by mathematical operations (addition, subtraction, multiplication and division)
Given that:
p(-3) = 0.
Since P(-3) = 0, this means that -3 is a factor of the polynomial. Hence:
The factor theorem states that states that if f(a) = 0, therefore a is a factor of the polynomial and hence (x - a) is a factor of polynomial f(x).
Therefore using the factor theorem, we get that x + 3 is a factor of the polynomial.