The top graph is correct because an x=# will create a vertical line at that #
Answer:
x^4 - 14x^2 - 40x - 75.
Step-by-step explanation:
As complex roots exist in conjugate pairs the other zero is -1 - 2i.
So in factor form we have the polynomial function:
(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)
= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)
The first 2 factors = x^2 - 2x - 15 and
( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2
= x^2 + 2x + 1 + 4
= x^2 + 2x + 5.
So in standard form we have:
(x^2 - 2x - 15 )(x^2 + 2x + 5)
= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75
= x^4 - 14x^2 - 40x - 75.
Answer:
Step-by-step explanation:
f (x) = (5(-4)) + a) (3/5 + 4) ( 6 + b)
f (x) = (-20 + a) (6 2/5) (6 + b)
f ( -20 ) = -20 + -20 (a) (6 2/5) (6 + b)
f ( -20 - 6 2/5 ) = (a) (6 2/5 -6 2/5) (6 + b)
f (-26 2/5 - 6 ) = (a) (6-6 +b)
f (-32 2/5-6) = (a) (b)
3
Circumference is 2πr, and the large cake has a radius 3 times the radius of the small cake. So, the circumference of the large cake will be 3 times that of the small cake.
Answer:
1. 210 m³
2. 320 in³
3. 189 m³
4. 150 cm³
5. 576 ft³
6. 240 m³
7. 220 cm²
8. 150 ft²
9. 132 in²
10. 592 m²
Step-by-step explanation:
Volume = l × w × h
Area = 2 (wl + hl + hw)
Volume is always cubed.(³)
Area is always squared (²)
Plug it in.
