Answer:
D) The variable is discrete because it is countable.
Step-by-step explanation:
Both discrete and continuous falls under the numeric category.
Discrete variables are the variable that are countable and cannot be expressed in decimal form.
Example: Tosses of a coin, Number of rooms in an house.
Continuous variables on the other hand cannot be counted, they are countable and can be expressed in the form of decimals. Its value can be expressed in the form of interval.
Example: Time, Length.
Now, number of students in a class is a discrete variable since students are countable and they cannot be expressed in decimal form.
So the correct option is D) The variable is discrete because it is countable.
Given:
The polynomial
is divided by (x+2).
To find:
The remainder.
Solution:
Remainder theorem: If a polynomial p(x) is divided by (x-c), then the remainder is p(c).
Consider the polynomial:

It is divided by (x+2). So, by the remainder theorem the remainder is p(-2).
Substituting x=-2 in the above polynomial, we get



Therefore, the remainder is -9.
Answer:
see the explanation
Step-by-step explanation:
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
In the coordinate plane, the x axis (y=0) and y axis (x=0) are perpendicular
however
this definition does not apply to the lines y=0 and x=0.
because
The slope of the horizontal line y=0 is equal to zero and the slope of the vertical line x=0 is undefined
The answer is married filing jointly. This will allow their accounts to be joined together. This is an advantage because they will be paying for their taxes in a quicker way compared to the separated accounts.
Answer:
right 50:30 left
divide both sides by a common factor. (I've used 10 hcf)
right 5:3 left