<span>(3x-4)+(x+3)^2
= 3x - 4 + x^2 + 6x + 9 .........(expand using (a+b)^2 = a^2 + 2ab + b^2)
= x^2 + 9x + 5 ..........(combine like terms and simplify)
hope that helps</span>
Answer:
Regression to the mean fallacy
Step-by-step explanation:
It assumes that something has returned to normal because of corrective actions taken while it was abnormal. This fails to account for natural fluctuations. It is frequently a special kind of the post hoc fallacy.
Answer:
(x + 3)^2 + (y - 2)^2 = 9
Step-by-step explanation:
<u>Equation for a circle: (x – h)^2 + (y – k)^2 = r^2</u>
<u />
<u>Step 1: Determine what h, k, and r are</u>
<em>h is the x value of the point: -3</em>
<em>k is the y value of the point: 2</em>
<em>r is the radius of the circle: 3</em>
<u>Step 2: Plug in and solve</u>
(x – h)^2 + (y – k)^2 = r^2
(x – (-3))^2 + (y – (2))^2 = (3)^2
<em>(x + 3)^2 + (y - 2)^2 = 9</em>
<em />
Answer: (x + 3)^2 + (y - 2)^2 = 9
Answer:
C(x) = 5x + 20 (for members)
C(x) = 3.5x (for non-members)
Step-by-step explanation:
Cost of membership = $20
Price of a game per month = $5
So, the linear equation to compute the total cost for a member can be computed by:
C(x) = 5x + 20
where x is the number of games per month
On the other hand, non-members can get one more game per month for $7 which means they get 2 games for $7. The price for a single game is $7/2 = $3.5 a month.
The linear equation to compute the total cost for a non-member is:
C(x) = 3.5x
where x is the number of games per month.
The following system of equations can be used to decide whether to become a member or not, by substituting the number of games in place of x and finding out the total cost.
C(x) = 5x + 20 (for members)
C(x) = 3.5x (for non-members)
Answer:
<u>The volume of the cone is 1,102.7 feet³ (cubic)</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Radius = 9 feet
Height = 13 feet
2. What is the exact volume of the cone?
We will use the following formula to calculate the volume of the cone:
Volume of the cone = π * Radius² * Height/3
Volume of the cone = 3.1416 * 9² * 13/3
Volume of the cone = 3.1416 * 81 * 13/3
Volume of the cone = 3.1416 *9² * 13/3
<u>Volume of the cone = 1,102.7 feet³ (cubic)</u>
