Answer:
x = 8 or x = -1 is the answer
Step-by-step explanation:
3x² - 21x -24
divide with 3
x² - 7x - 8
Factorizing,
x² + x - 8x - 8
x(x + 1) -8 (x + 1)
(x - 8) (x + 1)
x = 8,-1
Answer:
Second number line(from top to bottom).
Step-by-step explanation:
We are given the following inequality:

It is solved similarly to an equality, so:


Multiplying by -1, the signal changes from < to >. So



Thus the correct answer is given by the second number line.
The answer is a because it’s showing that he spends 3.75$ on each sheet of paper and x represents how many he can buy. It also shows that it can be less or equal to 20$
Answer:
Scale factor of cube to the smaller cube is 5 : 3.
Step-by-step explanation:
Ratio of the volumes of two cubes = 
= 
= 
Scale factor of these cubes = ![\sqrt[3]{\text{ratio of the volumes of the cubes}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Ctext%7Bratio%20of%20the%20volumes%20of%20the%20cubes%7D%7D)
= ![\sqrt[3]{\frac{\text{volume of large prism}}{\text{Volume of small prism}}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B%5Ctext%7Bvolume%20of%20large%20prism%7D%7D%7B%5Ctext%7BVolume%20of%20small%20prism%7D%7D%7D)
= ![\sqrt[3]{\frac{125}{27} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B125%7D%7B27%7D%20%7D)
= 
= 5 : 3
Therefore, scale factor of cube to the smaller cube is 5 : 3.