Hello Can someone please help me with question 34 and 5 My s

Hello,

Can someone please help me with question 3,4 and 5.

My sister lives in an apartment complex. Her rent last year was $400 dollars, and 70 families lived there. This year, the rent increased 10%,and now only 65 families rent apartments in 3. the complex. (400, TO (4401 &S; 100 Write a linear equation that gives the number of families living in my sister\'s a. apartment complex as a function of rent. 4140 -100 1 fck) = b. What is the x-intercept? (solve for it numerically) 960 c. What does the x-intercept represent? the rent when families are in the Com

Solution

3. g) total rent = z = xy = x(-x/8 + 120) =>   z = -x²/8 + 120x

h) to maximize z, dz/dx = -x/4 + 120 = 0 => x = 480

i) z_max = 480(-480/8 + 120) = 480 x 60 = 28800

5. 3x¹⁰⁰ - 2x⁹⁸ + 5x⁷² + 3x⁴³ -12x² + 7 = (x-1)(3x⁹⁹ + 3x⁹⁸ + x⁹⁷ + x⁹⁶ +.....x⁷² + 6x⁷¹ + 6x⁷⁰......+ 6x⁴³ + 9x⁴² + 9x⁴¹ +........9x² - 3x - 3) + 4

Reminder is 4

4. Domain is [-2, infinity)

Range is [0, infinity)