For part A: you will get 3 linear factors (as the degree of the polynomial is 3). perform the division using (x-1) as your known factor and you will get (x-1)(2x²+11x+15). you can then factor the (2x²+11x+15) to get 2x^3 + 9x^2 + 4x - 15 = (x-1)(2x+5)(x+3)
for part B: since 2x+5 will provide the greatest value (assuming x>0) of the 3 factors, then 2x+5=13. solve to get x=4. if x is 4, then the dimensions are 3'x13'x7' [just sub 4 into the x's for each factor]
for part C: as to the graphing calculator, I don't have one. However, if you solve each linear factor for when it is 0, those values will be the x-intercepts. So your graph should cross the x-asix at 1, -5/2, and -3
13. (3/8)*q + 12 = 36
3q/8 = 24
3q = 192
q = 64
14. 3 - (3/4)n = 9
-3n/4 = 6
-3n = 24
n = -8
15. (7/9)v + 2 = 23
7v/9 = 21
7v = 189
v = 27
16. 7 + (1/8)l = -2
l/8 = -9
l = -72
17. (v/-3) + 8 = 22
v/-3 = 14
v = -42
18. 8x - 16 + 8x = 16
16x = 32
x = 2
19. 12a - 14a = 8
-2a = 8
a = -4
20. 7c - 8 - 2c = 17
5c = 25
c = 5
21. 6 = -y + 42 - 2y
-36 = -3y
y = 12
22. 16 + 8r - 4r + 4 = 24
20 + 4r = 24
4r = 4
r = 1
Answer:
to become a good photographer; the camera must be used carefully
That’s a irrational number
Answer: 22, 8, 27
Step-by-step explanation: the sum of the 2 shorter sides must be greater than longest side
