A line has a slope of -1/2 and a y-intercept of 3.Which equations represent the line?
Choose all answers that are correct.
A. 2y = 6 + x
B. x + 2y = 6
C. y = -1/2x + 3
D. (y - 2) = -1/2( x - 2 )
Answers
m = slope = -1/2
b = y-intercept = 3
y = mx + b (replce m with -1/2 and 3 with b)
y = -1/2x + 3
The answer is C
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just copy and paste this "how to find the radius of a circle with an area."
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Determine the dance committee's greatest possible revenue. (Please show work as in #'s)
What ticket price will produce the greatest revenue? (Please show work as in #'s)
Answers
the number of $0.10 increases we make will be called t. so:
price of ticket = $4 + $0.10t
tickets sold = 300 - 5t
R = (4 + .10t)(300 - 5t)
R = 1200 + 10t - .5t^2
R = -1/2t^2 + 10t + 1200
to find the maximum, we have to find the roots of this function.
0 = -1/2t^2 + 10t + 1200
0 = -t^2 + 20t + 2400
0 = t^2 - 20t - 2400
quadratic formula
t = 20 +- sqrt((-20)^2 - 4(1)(-2400)) all over 2(1)
t = 20+-sqrt(400+9600) all over 2
t = 20+-sqrt(10000) all over 2
t = 20+-100 all over 2
t = -80/2 or t=120/2
t = -40 or 60
now find the average of these roots. this will find the "middle" of the parabola, which is where the vertex (maximum) will be.
-40 + 60 all over 2
20/2
10
the vertex is at t=10. plug this into the formula:
R = -1/2t^2 + 10t + 1200
R = -1/2(10)^2 + 10(10) + 1200
R = 50 + 100 + 1200
R = 1350
therefore, the number of 10 cent price increases should be 10, because that will lead to total profits of $1350, the maximum possible. the ticket price will be $5.
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Answer: the correct answer is 5h-3k
Nina earns $2.00 for each Enjoy the City book she sells. Each time she sells a book she also gets a five-dollar tip.
Gabby charges $2.00 an hour for babysitting. Parents are charged $5.00 if they arrive home later than scheduled.
Answers
b. 9.1 cm
c. 14.2 cm
d. 11.2 cm
Answers
The lateral area (LA) of the cone can be expressed as:
LA = π * r * l
r - the radius of the cone
l - slant height of the cone
It is given:
l = ?
r = 50 cm
LA = 500π cm²
Let's replace these in the equation for the lateral area of the cone:
500π = π * 50 * l
500π = 50π * l
⇒ l = 500π/50π
l = 10 cm