First take out the GCF
-3x(x^2-5x-14)
-3x(x-7)(x+2)
-7+2=-5
-7*2=-14
Answer: D
Answer:
Data
Step-by-step explanation:
We are given the following in the question:
We want to measure height of all psychology majors at the university.
Thus, the resulting raw scores of each individual are called the data.
Data point:
Height of each psychology majors at the university
Data:
Collection of all heights of all psychology majors at the university
These value are constants but comprises a data.
They are neither coefficients nor statistic because they do not describe a sample.
Thus, the correct answer is
Data
Answer:
0.012
Step-by-step explanation:
Have a good day.
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
<h3>What is the equation of the ellipse associated with the coordinates of the foci?</h3>
By <em>analytical</em> geometry we know that foci are along the <em>major</em> axis of ellipses and beside the statement we find that such axis is parallel to the x-axis of Cartesian plane. Then, the <em>standard</em> form of the equation of the ellipse is of the following form:
(x - h)² / a² + (y - k)² / b² = 1, where a > b (1)
Where:
- a - Length of the major semiaxis.
- b - Length of the minor semiaxis.
Now, we proceed to find the vertex and the lengths of the semiaxes:
a = 10 units.
b = 8 units.
Vertex
V(x, y) = 0.5 · F₁(x, y) + 0.5 · F₂(x, y)
V(x, y) = 0.5 · (3, 2) + 0.5 · (- 9, 2)
V(x, y) = (1.5, 1) + (- 4.5, 1)
V(x, y) = (- 3, 2)
The equation of the ellipse in <em>standard</em> form is (x + 3)² / 100 + (y - 2)² / 64 = 1. (Correct choice: B)
To learn more on ellipses: brainly.com/question/14281133
#SPJ1
Answer:
388.5/x
Step-by-step explanation:
multiply:
(-4004+2023-48-2)/ -4 + 2x +1
Simplify:
-2031/ -3 +2x
divide by -3
677/2x
388.5 / x
as simple as you can go
hope this helps!
