Question

(0,3x−1,5y)%(0,4x^2−10y^2) если x+5y=4.

Answer 1

Ответ:0.3(4-5y)-1.5y/0.4(4-5y)^2-10y^2=

1.2-1.5y-1.5y/0.4(16-40y+25y^2)-10y^2=

1.2-1.5y-1.5y/6.4-16y+10y^2-10y^2=

1.2-3y/6.4-16y=

(0.3-3/4y)/(1.6-4y)

Объяснение:

Answer 2

To solve this problem, we need to find the remainder when the expression (0.3x - 1.5y) is divided by (0.4x^2 - 10y^2), given the condition that x + 5y = 4.

Let's start by solving the linear equation for one of the variables. We have:

x + 5y = 4

Solve for x:

x = 4 - 5y

Now we can substitute this value of x into the expression (0.3x - 1.5y):

Expression = 0.3x - 1.5y = 0.3(4 - 5y) - 1.5y = 1.2 - 1.5y - 1.5y = 1.2 - 3y

Now, let's focus on the divisor, which is (0.4x^2 - 10y^2). Substitute the value of x from the equation x = 4 - 5y:

Divisor = 0.4x^2 - 10y^2 = 0.4(4 - 5y)^2 - 10y^2 = 0.4(16 - 40y + 25y^2) - 10y^2 = 6.4 - 16y + 10y^2 - 10y^2 = 6.4 - 16y

Now, let's find the remainder by performing the division:

Remainder = Expression % Divisor = (1.2 - 3y) % (6.4 - 16y)

Since this is a relatively complex polynomial expression, finding the remainder might involve polynomial long division or other methods. However, without specific numerical values for y, it's challenging to provide a simplified numerical answer. If you need a specific numerical result, you should substitute a particular value for y and then compute the remainder using polynomial arithmetic.