Answer:
2x³ + 12x² + 10x - 24
Step-by-step explanation:
(2x² + 6x - 8)(x + 3) Distribute
2x³ + 6x² + 6x² + 18x - 8x - 24 Combine like terms
2x³ + 12x² + 10x - 24 This expression is in standard form
If this answer is correct, please make me Brainliest!
Answer:
Bill received 13.68 change back.
Step-by-step explanation:
20-6.32=13.68
Y intercept is where our x variable is equal to 0 and where the graph touches the y-axis.
Therefore, you can get the y intercept by just plugging in x = 0. For example, in the linear function: f(x) = 2x + 3, our y intercept would be (0,3) because we just set our x value equal to 0.
Answer:
(1) The sum of the lengths of the edges of the cube is 36.
A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3
Volume = 3*3*3 = 27
(2) The surface area of the cube is 54.
A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)
6s^2 = 54
s = 3
Volume = 3*3*3 = 27
Step-by-step explanation:
All you need to uniquely define a cube is any one measurement - length of a side/edge, area of a surface, volume etc. If you have any one of them, you can uniquely determine the others. So each statement alone is sufficient here.
To show how,
(1) The sum of the lengths of the edges of the cube is 36.
A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3
Volume = 3*3*3 = 27
(2) The surface area of the cube is 54.
A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)
6s^2 = 54
s = 3
Volume = 3*3*3 = 27
The common point between y = 2x + 5 and y = (1/2)x + 6 will have the same values for x and y.
Therefore, set the two y expressions equal to obtain
2x + 5 = (1/2)x + 6
Subtract (1/2)x from each side.
(3/2)x + 5 = 6
Subtract 5 from each side.
(3/2)x = 1
Multiply each side by 2/3.
x = 2/3.
From the first equation, obtain
y = 2*(2/3) + 5 = 19/3.
The common point is (2/3, 19/3). It is not equal to (3, 1/2).
Answer: False
