5. Is 1
___
8
6. 4
___
18
7. 9
——
16
Answer:
a>4 or a < 8
Step-by-step explanation:
We can start with the inequality on the left
-a + 2(4+3a) > 28
expand using the distributive property
-a + 8 + 6a > 28
5a + 8 > 28
subtract 8 from both sides to isolate the variable and its coefficient
5a > 20
divide both sides by 5 to isolate a
a > 4
moving on to the inequality on the right
2a - (3a+4) > -12
treat the minus sign as a -1
2a + (-1)(3a+4) > - 12
expand
2a - 3a - 4 > - 12
-a - 4 > -12
add 4 to both sides to isolate a and its coefficient
-a > - 8
multiply both sides by -1 but change the sign because we are multiplying by a negative number
a < 8
The given point to us is (3,-1) and the slope of the line is 2 . We can use the <u>point</u><u> </u><u>slope </u>form of the line as ,
Substitute the values ,
Simplify LHS and RHS ,
Put all terms on one side ,
Answer:
Tom is incorrect
Step-by-step explanation:
The odds of getting any number on a 6-sided die are 
Every time he rolls, there is a chance he gets any number. Therefore, it is totally plausible to get the same number again. As the number of rolls tends toward infinity, the ratio of each number occurring to number of rolls equals .
