The answer is 2.5 because the point is on -1.5, so -1.5+4=2.5
Completing the square is a process to find the solutions, or the x-values, to a quadratic equation. This method can only work if it is in the format: x^2 + bx = c
In this equation, the b value is -12 and the c value is -6. The process for completing the square goes like this:
x^2 + bx + (b/2)^2 = c + (b/2)^2
Now let’s solve the equation above using this method.
Step 1: x^2 - 12x + (-12/2)^2 = -6 + (-12/2)^2
Step 2: x^2 - 12x + (-6)^2 = -6 + (-6)^2
Step 3: x^2 - 12x + 36 = -6 + 36
Step 4: x^2 - 12x + 36 = 30
Now, to factor it. After doing the process until now, the left side of the equation can ALWAYS be in the format: (x + a)^2
Step 5: x^2 - 12x + 36 can be factored in this format as (x - 6)^2
Step 6: (x - 6)^2 = 30
Step 7: x - 6 = √30
Step 8: x = 6 ±√30
Answer:
Option A. 0.20
Step-by-step explanation:
Observations from the given frequency table are :
Total number of beds sold at Cloud Nine Furniture = 3 + 6 + 4 + 2
= 15
Number of twin beds sold = 3
Then, probability that the next bed sold will be a twin bed,
= 0.20
Therefore, the probability that the next bed sold is a twin bed will be 0.20 or 20%.
Option A. is the correct answer.
22 x 85 = (20+2)*85= 20*85+ 2*85 = 1700 + 170 = 1870
Answer:
a+4b-24
Step-by-step explanation:
4(1/4a+b−6)
=(4)(1/4a+b+−6)
=(4)(1/4a)+(4)(b)+(4)(−6)
=a+4b−24
