Differentiating implicity gives
g'(x) + xcos(g(x))(g'(x)) + sin(g(x)) = 2x
g'(x)[1 + xcos(g(x))] = 2x - sin(g(x))
g'(x) = [2x - sin(g(x))] / [1 + xcos(g(x))]
<span>g'(0) = -sin(g(0))
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It says that the terms are increasing by 3 every time.
The 'number 1' term is 7.
So, the 'number 0' term would be 7-3=4.
So, the expression is 3n+4
Number of cars washed by the eight teams per hour = 2 * 8 = 16 cars.
Number of cars washed by the eight teams in 5 = 16 * 5 = 80 cars.
The teams should charge $600/80 = $7.50
Answer:
A (361)
Step-by-step explanation:
A "perfect square trinomial" has the form
ax^2 + 2ab + b^2. If a happens to be 1, which it is in the given x^2 − 19x + c, then 2(1)(b) = - 19. Solving for b, we get b = -19/2.
Then b^2 in the general "perfect square trinomial" is the same as c: (-19/2)^2, or 90.25, or 90 1/4, or 361/4/
Choosing A (361) makes the given expression a perfect square trinomial.
You will need 3 cans of paint to cover the two walls
<h3>
How many cans of paint will you need?</h3>
We know that 1 can will cover 200 square feet of wall.
And here we have 2 walls, let's find the total area of these walls.
wall 1 is 20ft by 8ft, then its area is:
A = 20ft*8ft = 160ft^2
wall 2 is 40t by 8 ft, then its area is:
A' = 40ft*8ft = 320ft^2
The total area is:
160ft^2 + 320ft^2 = 480ft^2
The number of cans of paint needed is given by the quotient between the total area and the area that each can cover.
N = 480ft^2/200ft^2 = 2.4
But we can't have a 0.4 of a can, so we should round to the next whole number, which is 3.
If you want to learn more about area:
brainly.com/question/24487155
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