1. x^2 + 13x + 36 = 0
using powerful & time-sparing quadratic formula :
delta = 13^2 - 4*1*36 = 25 = 5^2
x1 and x2 = (-13 -/+ 5)/2 = -9 and -4
x^2 + 13x + 36 = (x+9)(x+4)
2. other way : complete the square
b^2 + 12b + 32 = b^2 + 2*6b + 6^2 - 6^2 + 32
b^2 + 12b + 32 = (b+6)^2 - 4
b^2 + 12b + 32 = (b+6-2)(b+6+2) = (b+4)(b+8)
3. other way : -4 "ovious" solution : (-4)^2 - (-4) -20 = 0
so the other is : -4 . a2 = -20/1 ---> a2 = 5
a^2 - a - 20 = (a-5)(a+4)
Answer:
13.8
Step-by-step explanation:
the required constant can be calculated as:

according to the formula above:

Answer:
- C. Domain: All real numbers greater than or equal to 0 and less than or equal to 50. Range: All real numbers greater than or equal to 0 and less than or equal to 100
Step-by-step explanation:
- <em>Refer to attached</em>
<u>Continuation of the question:</u>
Which answer choice best describes the domain and range of the function for this situation?
A
- Domain: All real numbers greater than or equal to 0 and less than or equal to 100
- Range: All real numbers greater than or equal to 0 and less than or equal to 50
B
- Domain: (-2)
- Range: (100)
C
- Domain: All real numbers greater than or equal to 0 and less than or equal to 50
- Range: All real numbers greater than or equal to 0 and less than or equal to 100
D
- Domain: (100)
- Range: (-2)
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As per the graph, the domain is x-values in the interval [0, 50] minutes and the range is y-values in the interval [0, 100] percentage.
<u>Correct answer choice is therefore:</u>
The rest are all incorrect
Translation:
During World War II, who was the commander-in-chief of the Pacific fleet?
Dwight D. Eisenhower
Douglas MacArthur
Chester Nimitz
George S. Patton
Also hang on we are doing the same test