Answer:
4
Step-by-step explanation:
The mean of a set of data: <em>(n₁ + n₂ + n₃...)/n</em>, where n₁,₂,₃... are numbers in the set, and n is the number of numbers.
Plug in: (1 + 5 + 5 + 7 + 3 + 3 + 4)/7
Add: 28/7
Divide: 4
Since we want it in the form: (x - a)², let's first expand (x - a)² and then equate for the coefficients.
(x - a)² = x² - 2ax + a²
x² + 4x - 15 = x² - 2ax + a²
Now, let's focus on the middle term.
4x = -2ax
4 = -2a
a = -2
Thus, we know that a = -2
Then, we can say (x + 2)² = x² + 4x - 15
x² + 4x + 4 = x² + 4x - 15
Thus, 19 units are needed in order to complete the square to produce:
(x + 2)²
Answer:
-3+4i
Step-by-step explanation:
on a graph the complex number is (-3,4) The magnitude is -3^2+4^2=c^2
c=5 when solved
Answer:
a. $3,333.33
b. $223,333.31
Step-by-step explanation:
a. $50,000 value increase and difference of 15 years 50,000/15 = 3,333.333333= 3333.33
b. difference 2006 and 1999 is 7 years, growth by year is $3333.33 so 3333.33 * 7 = 23,333.31 is difference in growth in those 7 years plus the original value of 1999 is $223,333.31
6x+4=-11
6x=-15
X=-15/6
X=-2.5
