Answer:
a. Vertex = (2.5,-12.25)
b. y-intercept = (0,-6)
c. x-intercept = (6,0) ; (-1,0)
Step-by-step explanation:
a.
Your equation is written as:

The easiest way to find the vertex is writing the equation this way:

Being the vertex (h,k)
So first complete the square

Vertex : (2.5,-12.25)
b.
To find the y-intercept you need to replace the equation when x = 0 and get y

c.
To find the x-intercept you need to replace the equation when y = 0 and get x

Answer:
Regression Line is given by,
y = 22.909 + 0.209 x
The course grade of a student in the course who spent an average of 103 minutes in the course each week is: 22.909 + 0.209 × 103 = 44.436
Step-by-step explanation:
The equation of Regression equation is of the form of:
y = a + bx
where, a is intercept and b is slope
The formula for a and b is given by,

Here, ∑X = 1149.8, ∑Y = 377.2, ∑XY = 93115.95, ∑X² = 320246.72
Thus, a = 22.909
and b = 0.209
Thus, Regression Line is given by,
y = 22.909 + 0.209 x
Thus, The course grade of a student in the course who spent an average of 103 minutes in the course each week is: 22.909 + 0.209 × 103 = 44.436
Now plotting these line:
Answer:
D
Step-by-step explanation:
The factor theorem states if (x - h) is a factor of a polynomial p(x) then
p(h) = 0
However, p(h) ≠ 0 then the value obtained is the remainder.
Thus
p(3) = - 2
When p(x) is divided by (x - 3) then the remainder is - 2
Answer:
263.76
Step-by-step explanation:
It is 7 times 12 times 3.14. Then you round your answer
Answer:
x ≥ 25
Step-by-step explanation:
In the seventh grade, fifty students are trying for sports supplies to raise at least $2000. They already have $750.
Let us assume that each student has to raise $x more to meet the goal.
Then, a total of 50 students will raise $50x more.
Therefore, the inequality to solve for x will be
750 + 50x ≥ 2000
⇒ 50x ≥ 1250
⇒ x ≥ 25 (Answer)