What is the DOMAIN of the following relation? {(-5,4), (-4,2), (0,2), (1,3), (2,4)}
2 answers:
Answer:
See below.
Step-by-step explanation:
The domain of a relation is all of the x-coordinates.
So we have the relation:
{(-5,4), (-4,2), (0,2), (1,3), (2,4)}
This means that the domain will be the following values:
{(-5,4), (-4,2), (0,2), (1,3), (2,4)}
So, our domain is:
Note that the domain is in ascending order.
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Answer:
C
Step-by-step explanation:
If we were to draw a horizontal line from the bottom of the ladder to the bottom of the tree and then draw a vertical line from the bottom of the tree to the top of the ladder, we'd get a right triangle with legs as the distance between the bottom of the tree and the bottom of the ladder and the height of the ladder, and the hypotenuse is the length.
Here, we know the hypotenuse is 10 feet and that the bottom of the ladder is 4 feet away from the bottom of the tree, so use the Pythagorean Theorem to find the height:
h = ≈ 9.2 feet
The answer is C.
Because
therefore
f(x) = (x-3)(2x² + 10x - 1) + k, where k = constant.
Because f(3) = 4, therefore k =4.
The polynomial is
f(x) = 2x³ + 10x² - x - 6x² - 30x + 3 + 4
= 2x³ + 4x² - 31x + 7
Answer: f(x) = 2x³ + 4x² - 31x + 7
therefore
f(x) = (x-3)(2x² + 10x - 1) + k, where k = constant.
Because f(3) = 4, therefore k =4.
The polynomial is
f(x) = 2x³ + 10x² - x - 6x² - 30x + 3 + 4
= 2x³ + 4x² - 31x + 7
Answer: f(x) = 2x³ + 4x² - 31x + 7