Answer:
1, 7, 17, 31
Step-by-step explanation:
2(1)² + 1 - 2 = 3-2 = 1
2(2)² + 1 - 2 = 9-2 = 7
2(3)² + 1 - 2 = 19-2 = 17
2(4)² + 1 - 2 = 33-2 = 31
Step-by-step explanation:
Domain -5 range 5 ,...............
Answer:
This is frankly impossible.
Step-by-step explanation:
What you have given me are three x-intercepts. And it is impossible for a quadratic function to have more than two roots. However, if this was an cubic function, we could multiply (x+5)(x-1)(x-4) which results in the equation which simplifies into x^3 -21x + 20. However, this is a cubic function, not a quadratic function, so something must be wrong with this problem all together.
Answer:
Diagonal Length = 
inches
Step-by-step explanation:
The suitcase is a rectangle with one side being 24 and another side being 8.
The diagonal is the line through the middle connecting two opposite corners.
If we draw the diagonal, it creates a triangle with one leg being 24 and another being 8.
The diagonal is the "hypotenuse" of the triangle.
Now, the pythagorean theorem:
leg^2 + another leg^2 = hypotenuse^2
So, we substitute the values known and find the hypotenuse (which is length of the diagonal). Shown below:
We have written the answer in exact form (with radical in simplified term).
We also use the radical property 
Answer:
70 members in 2016
Step-by-step explanation:
In 2016
Let the number of members= x
They all paid y amount
Total fees= 42
Xy= 42...... equation 1
In 2017
Members= x+20
They paid y-0.1
Total fees = 45
(X+20)(y-0.1)= 45…equation 2
Xy -0.1x +20y -2= 45
Using values from equation 1
42-0.1(42/y) +20y -2= 45
-4.2/y+20y-5= 0
20y² -4.2 -5y = 0
100y² -25y -21= 0
Solving quadratically
Y= 0.6 or -0.35
We are dealing with price so y Is
definitely a positive number
Y= 0.6
If y= 0.6
Solving for x
Xy= 42
X= 42/0.6
X=70
There were exactly 70 members in 2016
