Answer:

Step-by-step explanation:
we know that
The general equation of a quadratic function in factored form is equal to

where
a is a coefficient of the leading term
x_1 and x_2 are the roots
we have

substitute

Applying the distributive property convert to expanded form




therefore

Answer: 29/139
Explanation:
Total student: 139 (66 boys/73 girls)
Football: 56 student (28 boy/28 girl)
Tennis: 54 student (27 boy/ 27 girl)
Running: 29 student (18 girls/11 boys)
The probability that a student chose running is 29/139
slope intercept form
y=mx+b
where m is the slope and b is the y intercept
if we change from point slope form
y-y1 = m(x-x1)
we distribute
y-y1 = mx -x*x1
then add y1 to each side
y = mx -x*x1+y1
remember x and y are variables and should stay in the equation
m,x1,y1 are numbers from the problem
you may have to calculate the slope (m) from the formula
m = (y2-y1)/(x2-x1) from two points on the line
Answer:
Kevin can afford to have 15 guests at his party.
Step-by-step explanation:
You know that Kevin's party costs $52, so you can subtract 52 from 97, which is 45. So, he can spend $45 dollars on guests. $45 divided by 3, the amount it takes for each guest, to get 15.