To find the root, replace y with 0
X^2-12x+35=0
A=1 B=-12 C=35
B^2-4ac=(-12)^2 -4(1)(35)
=144 -140
=4
x=(-b+/- square root of b^2 -4ac) /over/ (2a)
Plug in the numbers
x=-(-12) sqr (-12)^2 4(1)(35) / (2)(1)
X=12 +/-sqr 4 / 2
Positive outcome
x=12 + sqr 4 / 2
x=12+2/2
x=7 <— this one
Negative outcome
x=12-2i/2
x=6-i
Vertex: (6,-1)
Answer:
3.4 minutes
Step-by-step explanation:
Every morning there are expected 240 customers who arrive at bank for the customer service. There are on average 240 customers arriving to the bank every morning. There are total 5 bank tellers and they take average 3 minutes to help customer. The average time each bank teller spends on satisfying a customer will be calculated using the linear model,
Using wait time calculator:
Average service time / standard deviation
Ce = 3/1.5 = 2
The spent time on a customer is 3.4 minutes.
The value of x from the given equation is 5/3
<h3>How to determine the value</h3>
Since the three points are collinear to U, they are on a straight line which equals 0
Then we have,
UM + UD = MD
5x+30 + 10x+20 = 3x+80
Collect like terms
5x + 10x + 50 = 3x + 80
15x - 3x = 80 - 50
12x = 30
x = 30/12 = 15/6 = 5/3
Thus, the value of x from the given equation is 5/3
Learn more about collinear points here:
brainly.com/question/18559402
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9514 1404 393
Answer:
(b) (x – 4)^2 + (y – 6)^2 = 16
Step-by-step explanation:
The equation for a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
You want the equation for a circle with center (4, 6) and radius 4. That equation is ...
(x -4)^2 +(y -6)^2 = 16
The range of the answer is [-3,infinity) and {yly>=-3}
