We can one theorem to help us find rational roots of this polynomial.
2x^3 + x^2 - 4x - 2
We'll use Descartes' rule of signs.
Because there is 1 sign change, 1 of the 3 roots will be positive.
Now we can make the value of x -1 to see how many negative roots there will be.
-2 + 1 + 4 - 2
There are 2 sign changes, so we know there will be 2 negative roots.
Because of this, we should have 3 real, rational roots.
A. You would be able to prove it by SSS. One side is already said to be congruent and the other is shared by both.
Answer: 6.65
Step-by-step explanation:
19-(19×.65)
Answer: See explanation
Step-by-step explanation:
Cluster sampling, is a form of sampling whereby the population is divided by the researchers into smaller groups that are referred to as clusters and then the sample will be taken from the clusters formed.
Convenience sampling is when a sample is drawn based on the available population.
Systematic sampling is when a sample is gotten when the members are taken at regular intervals e.g 5th person, 12th items etc.
Simple random sampling is when the sample is selected from the larger population and in this case, every member involved can be selected as they all have an equal chance.
Based in the definition above, the answers will be:
a. Cluster sample
b. Convenience sample
c. Systematic sample
d. Simple random sample
Answer:the warehouse's width is 100 feet.
Step-by-step explanation:
Let L represent the length of the rectangular warehouse.
Let W represent the width of the rectangular warehouse.
The rectangular warehouse was 20 feet longer than 3 times its width. This means that
L = 3W + 20
The perimeter of a rectangle is
the sum of all its sides. Therefore, the formula for determining the perimeter of a rectangle expressed as
Perimeter = (L + W)
If the perimeter of the warehouse was 840 feet, it means that
2(L + W) = 840
Dividing through by 2, it becomes
L + W = 420- - - - - - - - 1
Substituting L = 3W + 20 into equation 1, it becomes
3W + 20 + W = 420
4W = 420 - 20
4W = 400
W = 400/4 = 100
