Find the value of the polynomial 3xy+7x2−3x2y+3y2x−2x2−2xy+4x2y−2y2x , when x=1 and y=−2

9514 1404 393

  5

Step-by-step explanation:

The evaluation can be easier if terms are collected first.

  3xy+7x^2−3x^2y+3y^2x−2x^2−2xy+4x^2y−2y^2x

  = x^2y(-3+4) +xy^2(3-2) +x^2(7-2) +xy(3-2)

  = x^2y +xy^2 +5x^2 +xy

  = x(xy +y^2 +5x +y)

Filling in the numbers, we have ...

  = (1)(1(-2) +(-2)^2 +5(1) +(-2))

  = -2 +4 +5 -2

  = 5

The value of the polynomial is 5.

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!