Answer:
Q32) we have:
x² - Px + P = x(x - P) + P
but x² - Px + P is divisible of x - P
=> P must be divisible of x - P
=> P = 0
Q37) 3x² + Px + 54 = 0
a = 3 b = P c = 54
=> delta = b² - 4ac = P² - 648
because this equation have 2 solutions => delta > 0
=> P² - 648 > 0
x1, x2 are 2 solutions of this equation
=> x1 = 2.x2
=> x1 - 2.x2 = 0
Using Viète theorem, we have:
x1 + x2 = -P/3
x1.x2 = 18
but x1 = 2.x2 => 3.x2= -P/3
2.x2² = 18
=> -9.x2 = P
x2² = 9 => x2 = 3 or - 3
=> P = 27 or - 27
Q47) because Px² + 2x³ + qx + c is divided by x+ 1 and x-2
=> P - 2 - q + c = 0
4P + 16 + 2q + c = 0
=> 3p + 3q = - 18
=> p + q = -6
The orange line will go past the page so will the red 1
I think it’s C,I hope it’s correct
The surface area formula for a cube is: 6 * s^2, where s is the side length.
The two surface areas are:
6 * 3^2 = 54
and
6 * 8^2 = 384
The ratio of their surface areas, from the surface area of the smaller cube to the surface area of the larger cube is:
54/384 = 9/64
The answer is 9/64.
Note that another way to to find the ratio of the squares of the side lengths of the cubes.
Step-by-step explanation:
The question is not properly formated, here is the correct format
<em>The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x) is the unit price. If p(x)=274−4x, find the revenue if 12 units are sold. Round to two decimal places.</em>
<em />
Step one
given the following expression
Revenue
Unit price
Required
the revenue when 12 units were sold
let us find the unit price for 12 units
Hence the unit price is$ 226
Revenue is $2712