Answer:
see explanation
Step-by-step explanation:
(a)
Given
2k - 6k² + 4k³ ← factor out 2k from each term
= 2k(1 - 3k + 2k²)
To factor the quadratic
Consider the factors of the product of the constant term ( 1) and the coefficient of the k² term (+ 2) which sum to give the coefficient of the k- term (- 3)
The factors are - 1 and - 2
Use these factors to split the k- term
1 - k - 2k + 2k² ( factor the first/second and third/fourth terms )
1(1 - k) - 2k(1 - k) ← factor out (1 - k) from each term
= (1 - k)(1 - 2k)
1 - 3k + 2k² = (1 - k)(1 - 2k) and
2k - 6k² + 4k³ = 2k(1 - k)(1 - 2k)
(b)
Given
2ax - 4ay + 3bx - 6by ( factor the first/second and third/fourth terms )
= 2a(x - 2y) + 3b(x - 2y) ← factor out (x - 2y) from each term
= (x - 2y)(2a + 3b)
Answer:
The population is the set of all the elements. And the sample is a subset of the population.
Step-by-step explanation:
The population is the set of all the elements. And the sample is a subset of the population.
The sample is used to make conclusions regarding the population.
A poll is conducted from the target population to determine the general opinions of the individuals of that population.
The basic method of polling is to select a few thousand individuals from the population and ask their opinions on a certain subject.
The poll will result usually in two values, the proportion of individual in favor and the proportion of individual not in favor.
Consider the example below.
The polling done to determine the favorability of the new brand of tea. The polling was done using a few hundred members of the tea drinking community of a country. The poll resulted as follows:
In favor = 72%
Not in favor = 28%
The population is the entire tea drinking community of a country.
In this case the sample consist of few 100 people of the tea drinking community of a country.
Answer:
equation of line
x-2y=8
Step-by-step explanation:
equation of line in slope intercept form
(y-y1)={(y2-y1)/(x2-x1)}(x-x1)
or,(y+3)={(-5+3)/(-2-2)}(x-2)
or,(y+3)=(1/2)(x-2)
or,2y+6=x-2
or,6+2 =x-2y
or,x-2y=8
Step-by-step explanation:
The slope of tangent line at a max or a minimum is 0,.
So using point slope formula.
Is the equation of a tangent line. This means we have a horizontal line at y= 4. Horizontal lines have a slope of 0.
I'm not sure about what exactly your teacher is looking for, but the actual congruency conjecture you would use is:
(angle symbol) 1 (congruency symbol) (angle symbol) 8 - Because they are alternate exterior angles
