There can be 6 teams because
27/4= 6.75
yet there will be 3 students left, so they can be a team ;)
Answer:
y = 8.13 x -16125.713
hope it helps
Step-by-step explanation:
Sum of X = 14004
Sum of Y = 977
Mean X = 2000.5714
Mean Y = 139.5714
Sum of squares (SSX) = 53.7143
Sum of products (SP) = 436.7143
Regression Equation = ŷ = bX + a
b = SP/SSX = 436.71/53.71 = 8.13032
a = MY - bMX = 139.57 - (8.13*2000.57) = -16125.71277
ŷ = 8.13032X - 16125.71277
These are two questions and two answers:
Question 1:
<span>A
quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe
the solution(s) to the equation by just determining the radicand. Show
your work.
Answer: </span><span>The negative value of the radicand means that the equation does not have real solutions.
Explanation:
1) With radicand the statement means the disciminant of the quadratic function.
2) The discriminant is: b² - 4ac, where a, b, and c are the coefficients of the quadratic equation: ax² + bx + c
3) Then, for 3x² - 15x + 20, a = 3, b = - 15, and c = 20
and the discriminant (radicand) is: (-15)² - 4(3)(20) = 225 - 240 = - 15.
4) The negative value of the radicand means that the equation does not have real solutions.
Question 2:
Part B: Solve 3x^2 + 5x − 8 = 0 by using an appropriate
method. Show the steps of your work, and explain why you chose the
method used.
Answer: </span> two solutions x = 1 and x = - 8/3x
Explanation:
1) I choose factoring (you may use the quadratic formula if you prefer)
2) Factoring
Given: 3x² + 5x − 8 = 0
Make 5x = 8x - 3x: 3x² + 8x - 3x - 8 = 0
Group: (3x² - 3x) + (8x - 8) = 0
Common factors for each group: 3x(x -1) + 8(x - 1) = 0
Coomon factor x - 1: (x - 1) (3x + 8) = 0
The two solutions are for each factor equal to zero:
x - 1 = 0 ⇒ x = 1
3x + 8 = 0 ⇒ x = -8/3
Those are the two solutions. x = 1 and x = - 8/3
It does matter, the second inequality would be correct because it list that when n is inputted it can be 28 or greater. However, in the first inequality it states that when n is inputted it has to be greater then 28 but cannot be 28.
Answer:
x=3
Step-by-step explanation:
8x-28-2x=-10
We move all terms to the left:
8x-28-2x-(-10)=0
We add all the numbers together, and all the variables
6x-18=0
We move all terms containing x to the left, all other terms to the right
6x=18
x=18/6
x=3
