1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.
2)The solution for b² - 4b + 4 = 0 is x=2.
<u>Step-by-step explanation</u>:
The general form of quadratic equation is ax²+bx+c = 0
where
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
<u>To find the roots :</u>
- Sum of the roots = b
- Product of the roots = c
1) The given quadratic equation is m² - 5m - 14 = 0.
From the above equation, it can be determined that b = -5 and c = -14
The roots are -7 and 2.
- Sum of the roots = -7+2 = -5
- Product of the roots = -7
2 = -14
The solution is given by (x-7) (x+2) = 0.
Therefore, the solutions are x=7 and x= -2.
2) The given quadratic equation is b² - 4b + 4 = 0.
From the above equation, it can be determined that b = -4 and c = 4
The roots are -2 and -2.
- Sum of the roots = -2-2 = -4
- Product of the roots = -2
-2 = 4
The solution is given by (x-2) (x-2) = 0.
Therefore, the solution is x=2.
Answer:
1. x>20 2. x≤1 3.x<4 4.x>9 5.x≥-13
Answer:
59 degrees
Step-by-step explanation:
In the figure below, XZ is a diameter of circle A.
Since the Angles (5w+4) and (11w) forms a straight line, then:

Therefore, the arc measure of YZ will be:

The opening balance of the March billing cycle for Bernice's credit card = $2374.
Amount of new purchase = $200 on the 20th of March.
She did purchase only of $200 in that March month.
We are given that she didn't do any payment.
So, still she has balance $2374 till end of the month.
Therefore, her average daily balance is $2374.00
So, the correct option is B. $2374.00.