The anwser is A. (p + 8) (p - 3)
Answer:
The constant of variation is k = -2 ⇒ (B)
Step-by-step explanation:
The equation of the direct variation is y = k x, where
- k is the constant of variation
- The constant of variation k =

The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)
We can use one of the points <em>[except point (0, 0)]</em> to find the value of k
∵ (-1, 2) is a given point
∴ x = -1 and y = 2
∵ k = 
→ Substitute the values of x and y in the relation above
∴ k = 
∴ k = -2
The constant of variation is k = -2
3 - 4x= -89 is the equation i hope it's right
Answer:
see explanation
Step-by-step explanation:
(1)
Given
g(r) = (r + 14)² - 49
To obtain the zeros, let g(r) = 0 , that is
(r + 14)² - 49 = 0 ( add 49 to both sides )
(r + 14)² = 49 ( take the square root of both sides )
r + 14 = ±
= ± 7 ( subtract 14 from both sides )
r = - 14 ± 7, then
r = - 14 - 7 = - 21 ← smaller r
r = - 14 + 7 = - 7 ← larger r
(2)
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
g(r) = (r + 14)² - 49 ← is in vertex form
with vertex = (- 14, - 49 )
Answer:
Quantitative discrete data.
Step-by-step explanation:
We have been given a data for the number of machines in five gyms. One gym has 12 machines, one gym has 15 machines, one gym has ten machines, one gym has 22 machines, and the other gym has 20 machines. We are asked to determine the type of the data.
We can see that our given data represents quantity of machines, so our data will be a quantitative data.
Since each gym has a specific number of machines, so our data is discrete and it is not continuous.
Therefore, our given data is a quantitative discrete data.