Answer:
They can paint 18. 66 sq ft with 3 gallons of paint.
Step-by-step explanation:
Total area painted = 280 sq ft
Total gallons of paint used = 45
So, 45 gallons of paint painted 280 sq ft.
⇒ By UNITARY METHOD,
1 gallon of paint paints 
sq ft
So, area painted by 1 gallon = 6.22 sq ft
⇒ area painted by 3 gallon = 6.22 sq ft x 3 = 18. 66 sq ft
So, they can paint 18. 66 sq ft with 3 gallons of paint.
Answer: f'(x) = 12x + 48x³ - 48x⁵
<u>Step-by-step explanation:</u>
f(x) = (1 - 2x²)³
= (1 - 2x²)(1 - 4x² + 4x⁴)
1 - 4x² + 4x⁴
<u> -2x² + 8x⁴ - 8x⁶</u>
= 1 - 6x² + 12x⁴ - 8x⁶
f'(x) = 0 -2(6)x²⁻¹ + 4(12)x⁴⁻¹ - 6(8)x⁶⁻¹
= 12x + 48x³ - 48x⁵
Answer:
23
Step-by-step explanation:
C. translated down 2 units
---The "-2" located on the outside of f(x) tells us that the y-values are being changed. With that, the graph can be moved up or down. The presence of the negative/subtraction sign tells us that the graph is moved down.
D. translated right 4 units
---The "-4" located with the x in f(x) tells us that the x-values are being changed. The only tricky thing about this is that the direction of the movement is actually the opposite of the sign. So with the negative/subtraction sign, the graph is moved to the right instead of the left.
Hope this helps!
1) 12
2) 2y
3) 12+2y
4) 12+2y
