C + c - 14a + 15bm - 13a - 17bm
rearrange
c + c - 14a - 13a + 15bm - 17bm
combine like terms
2c - 27a - 2bm
And got my Math paper 4 IGCSE external tomorrow, thanks for posting this question that helped me more!
Answer:
110,000
Step-by-step explanation:
Using the profit concept, we have that:
- The expression is: P(x) = -0.5x² + 40x - 300.
- A profit of $300 is found with x = 20 and x = 60.
<h3>What is the profit concept?</h3>
Profit is given by <u>revenue subtracted by costs</u>.
In this problem, we have that:
- The revenue is: R(x) = 90x - 0.5x².
- The costs are: C(x) = 50x + 300.
Hence the expression for the profit is given as follows:
P(x) = R(x) - C(x)
P(x) = 90x - 0.5x² - 50x - 300
P(x) = -0.5x² + 40x - 300.
A profit of $300 is found when P(x) = 300, hence:
300 = -0.5x² + 40x - 300
0.5x² - 40x + 600 = 0.
x² - 80x + 1200 = 0.
(x - 60)(x - 20) = 0.
Hence the values are:
More can be learned about the profit concept at brainly.com/question/4001746
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Answer:
a) clockwise sense
b) x² + y² = 1
c) y ∈ [0,1]
Step-by-step explanation:
a) x = cos (t) y = -sin (t)
for t ∈ [ 0 , 2π ]
for t = 0 point P is x = cos (0) = 1 y = -sin (0) y = 0
The point is on the x axis
Now let´s see what happens for t = π/4
x = cos (π/4) x = √2/2 and y = - sin (π/4) y = - √2/2
Note π/4 is 45°
The coordinates of the new point P ´(t = π/4) are in the fourth quadrant
that means the point is moving clockwise sense.
b) x = cos(t)
y = -sin(t)
Squaring on both sides of each equation we get:
x² = cos²t
y² = sin²(t)
Adding side by side
x² + y² = cos²t + sin²t
x² + y² = 1
Values for y are y ( 0 , 1)
