Answer:
Infinite pairs of numbers
1 and -1
8 and -8
Step-by-step explanation:
Let x³ and y³ be any two real numbers. If the sum of their cube roots is zero, then the following must be true:
![\sqrt[3]{x^3}+ \sqrt[3]{y^3}=0\\ \sqrt[3]{x^3}=- \sqrt[3]{y^3}\\x=-y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E3%7D%2B%20%5Csqrt%5B3%5D%7By%5E3%7D%3D0%5C%5C%20%5Csqrt%5B3%5D%7Bx%5E3%7D%3D-%20%5Csqrt%5B3%5D%7By%5E3%7D%5C%5Cx%3D-y)
Therefore, any pair of numbers with same absolute value but different signs fit the description, which means that there are infinite pairs of possible numbers.
Examples: 1 and -1; 8 and -8; 27 and -27.
Answer:
x=3
Step-by-step explanation:
10-3x+8x=25
-10 -10
-3x+8x= 15
5x=15
5x/5=15/5
x=3
The inequality is -12x + 3y > 9.
PART A:
The sytem has no solution if inequality does not share a common area. The inequality -12x + 3y > 9 consist the region to left of line -12x + 3y = 9. So for no solution the region to left of equation -12x + 3y = 9 is suitable.
Thus inequality for no solution is, -12x + 3y < 9.
PART B:
For infinite solution the region of both inequality must overlap each other, or the inequality is same with some multiplication of divison factor. So inequality for infinite many solutions is,

Thus inequality for infinite many solution is 12x - 3y < -9.
Answer:
8/15
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome. The probability that an event will happen added to the probability that the event will not happen gives 1. In other words, the outcome of a probability cannot exceed 1.
The probability that an event a will happen or that another independent event b will happen is the sum of the probability that a will happen to the probability that b will happen.
Given that there are 25 red clips, 15 blue clips, 15 green clips and 20 pink clips,
total number of clips available
= 25 + 15 + 15 + 20
= 75
probability of picking a
red paper clip = 25/75
blue paper clip = 15/75
Probability of selecting red or blue paper clip
= 25/75 + 15/75
= 40/75
= 8/15
Answer:

Step-by-step explanation: