Solve: 12x^2+5x-4=12^2x+6
1 answer:
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Answer:
x >= 7 OR x < -8
n <= -3 AND n > -6
Step-by-step explanation:
15) 7x - 6 >= 43 OR 10x + 4 < -76
7x >= 43 + 6 OR 10x < -76 - 4
7x >= 49 OR 10x < -80
x >= 7 OR x < -8
you can draw based on this
for >= it is full dot for < it is like circle on the graph
you have to draw both x>= 7 , x < -8 on the same line because it is OR
so both ranges of x are possible
21) 3 + 2n <= -3 AND 1 - 3n < 19
2n <= -3 -3 AND -3n < 19 - 1
2n <= -6 AND -3n < 18
n <= -3 AND 3n > -18
n <= -3 AND n > -6
so it lies between -6 and -3
u can refer pictures below
The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The composite solid's surface area is 225.4 square inches.
Step-by-step explanation:
Step 1:
The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The surface area of the composite shape is given by summing the individual surface areas.
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
Step 2:
Any cube's surface area is calculated by multiplying 6 with the square of the side length ().
The cube's surface area = =
=
square inches.
Step 3:
Any cylinder's surface area is calculated with the following formula;
The cylinder's surface area = =
=
square inches
Step 4:
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.