Answer:
the answer is y 2-=x+5
Step-by-step explanation:
the last one
Answer:
Step-by-step explanation:
Given:
(y/y - 4) - (4/y + 4) = 32/y^2 - 16
Note y^2 - 16 = (y - 4 ) × (y + 4)
Multiplying the equation; both sides by y^2 - 16,
y (y + 4) - (4(y - 4)) = 32
y^2 + 4y - 4y + 16 = 32
y^2 = 32 - 16
Squaring both sides,
y = sqrt(16)
= 4
So to find the discriminant of a quadratic equation, the formula is b² - 4ac with a = x² coefficient, b = x coefficient, and c = constant. In this case, our equation is 
Firstly, solve the multiplications and the exponents: 
Next, subtract and we find that our discriminant is 0.
*Additional Info: Since the discriminant is zero, this means that this quadratic equation has 1 real solution.
Assuming the equation is 3x-2y+4=0 then the equation of the line, solving for y in terms of x, gives y=3/2x+2 the slope of this line is 3/2 then the slope of a line that is perpendicular is -2/3 .An easy way to see this is to draw the line. By definition the slope, m=tan(α) where α is the angle the line makes with the x axis. Let L=slope of the perpendicular line then L=tan(β) but the two lines with the x axis form a right triangle hence α+π-β=π/2 so β=π/2+α and L=tan(β)=tan(π/2+α)=-cot(α) = -1/tan(α)=-1/m.In our problem m=3/2 so L=-2/3.The geometry becomes clear if you make a sketch of the two lines. Hope this helps
Answer:
The question has some details missing; i.e
a. What is the probability that the shopper has neither type of card?
b. What is the probability that the shopper has both types of card?
c. What is the probability the individual has a Visa card but not a Mastercard? (Hint: You will use the answer)
a) 0.24
b) 0.24
c) 0.36
Step-by-step explanation:
The detailed steps is shown in the attachment.
