Answer:
2y-3x+15 = 0
Step-by-step explanation:
let the equation of the perpendicular line: y=mx+c.
Given equation : 2x+3y=12
=> y=-2/3 x+4
so the sope of the equation is m1= -2/3.
as the two lines are mutually perpendicular,
so, m1*m2=-1
=> (-2/3)*m2= -1
=> m2= 3/2
the paerpendicular line : y=(3/2) x+c.
this line pass through (7,3)
so, 3 = (3/2)*7+c
=> c = -15/2
so the perpendicular line y = (3/2)*x -15/2
=> 2y-3x+15 = 0
Answer:
x² -7x -18
Step-by-step explanation:
In algebra, a binomial consists solely of a sum or subtraction of two monomials.
To solve the multiplication of two binomials we have to multiply term by term and then simplify common terms.
(x + 2)(x - 9) = x(x) + x(-9) +2(x) + 2(-9) = x² -9x + 2x -18 = x² -7x - 18
Answer:
And the best option would be:
c. 1450 +/- 12
Step-by-step explanation:
Information provided
represent the sample mean for the SAT scores
population mean (variable of interest)
represent the sample variance given
n=25 represent the sample size
Solution
The confidence interval for the true mean is given by :
(1)
The sample deviation would be 
The degrees of freedom are given by:
The Confidence is 0.954 or 95.4%, the value of 
and 
, assuming that we can use the normal distribution in order to find the quantile the critical value would be 
The confidence interval would be
And the best option would be:
c. 1450 +/- 12
Answer:
I and III only
Step-by-step explanation:
In the equation, the set number must be the price for shoes, as it does not increase whatsoever; only the amount of games played increases the price. The fixed price is 4.25, making II false. Since the price must increase with the number of games played, 5.75b must be the amount of money per game. 5.75 is the price of one game and b is the amount of games bowled. Therefore, only I and III are correct
Answer:
C. There were 500 liters in the tank when the leak started, and it is decreasing by 8 liters per minute.
Step-by-step explanation:
-8x is the rate of the leak and 500 is the initial value for water in the tank.
