So here you're using system of equations. You can solve systems by graphing, elimination, or substitution. Ill use substitution. First lets solve for x. take the second equation and add y to both sides to get x by itself:
x - y = 75
x = y + 75 now plug y+75 in for x in the first equation
x + y = 743
(y +75) +y = 743 solve for y
2y +75 = 743 subtract 75
2y = 668 divide both sides by 2
y = 334
now plug this into any of the 2 equations to solve for x i chose the second one
x - y = 75
x - 334 = 75 add 334 to both sides
x = 409
This means x, sold before the tournament is 409 and y, sold at the door is 334. That means the assistant is wrong and accidentally flipped the two answers
-3y=-3x-9
3(y=x+3)
-3y=-3x-9
+(3y=3x+9)
So both y and x equal zero
(0,0)
Answer:
The maximum error in the calculated in the area is about
The relative error is 0.02
The percentage error is 1.82%
Step-by-step explanation:
(a) Differentials are infinitely small quantities. Given a function we call and differentials and the relationship between them is given by,
Let be the radius of the disk and its area . If the error in the measured valued of is denoted by , then the corresponding error in the calculated value of A is , which can be approximated by the differential
We know that and , substituting into the above differential we get
The maximum error in the calculated in the area is about
(b) The definition of relative error is
To find the relative error you need to divide the error by the total area
(c) To find the percentage error you need to apply this formula
Base = b
height = 3b
Area = 1/2 * b * 3b = 24
⇒ 3/2 b² = 24
⇒ b² = 24*2/3
⇒ b² = 16
⇒ b = √16
⇒ b = 4 inch
Answer is B(second option)
Hope it helps!
Y=mx+b
m=slope
b=y intercept
just solve for y
5x+4y=16
minus 5x both sides
4y=-5x+16
divide both sides by 5
y=(-5/4)x+4
slope=-5/4
y intercept is y=4