Answer:
f(8) = 195
Step-by-step explanation:
When the x if f(x) is replaced with an 8, this just means that it is the eighth term. All you really have to do is replace every X in the function to find the answer.
f(8) = 3 + 3(8)²
f(8) = 3 + 3(64)
f(8) = 3 + 192
f(8) = 195
Hope this helps!
Macro can finish the puzzle in 3 hours. We can say that her speed for working is 1/3 or 1/3 puzzle per hour.
Now if they work together, this turns into 1 puzzle per hour.
That must mean that Cliff would be doing the other 2/3 of the puzzle while Macro does his 1/3 in that hour. If Cliff has a speed of doing them 2/3 per hour. Then it would take 1 and a half hour to finish 1 whole puzzle.
Answer:
<h2>y = -5x - 10</h2>
Step-by-step explanation:
Step-by-step explanation:
Any coordinates in the shaded area are solutions. Any coordinates on the line are not a solution due to it being dashed. Anything in the non-shaded area is also not a solution. You can always check if you are right by plugging in the numbers.
Example: (1, -2)
-2 < 0.5(1) + 2
-2 < 0.5 + 2
-2 < 2.5
True, -2 is less than 2.5.
Another Example: (-2, 1)
1 < 0.5(-2) + 2
1 < -1 + 2
1 < 1
False, 1 is not less than itself.
Answer:
84 cm²
Step-by-step explanation:
Surface area of the polyhedron = the sum of the areas of each parts of the net = area of 2 triangles + area of each of the 3 rectangles
Area of 2 triangles:
Base = 4 cm
Height = 3 cm
Area of the 2 triangles = 2(½*base*height)
= 2(½*4*3) = 4*3 = 12 cm²
Area of rectangle with the following dimensions:
Length = 6 cm
Width = 4 cm
Area = length * width = 24 cm²
Area of rectangle with the following dimensions:
Length = 6 cm
Width = 5 cm
Area = length * width = 30 cm²
Area of rectangle with the following dimensions:
Length = 6 cm
Width = 3 cm
Area = length * width = 18 cm²
Surface area of the polyhedron = 12 + 24 + 30 + 18 = 84 cm²
