Answer:
x = -2
Step-by-step explanation:
To start, let's add on the first side to get 3x + 6x - 6 = 9x - 6. For the second side, we need to distribute the 4 to get 4(2x) + 4(-2), or 8x + (-8) or 8x - 8. Setting these equal, we subtract 8x from both sides to get x - 6 = -8, and adding 6 to both sides gives x = -2.
Answer:
a. i. x ≤ 25 ii. 16 < x < 35 iii. 25 < x ≤ 95
b. The second and third car seats are appropriate for a 35 lb child.
Step-by-step explanation:
a. Model those ranges with compound inequalities
Let x represent the car seat.
i. A car seat designed for a child weighing up to and including 25 lb is described by the inequality.
x ≤ 25
ii. A car seat designed for a child weighing between 16 lb and 35 lb is described by the inequality.
16 < x < 35
iii. A car seat designed for a child weighing between 25 lb and 95 lb inclusive is described by the inequality.
25 < x ≤ 95
b. Which car seats are appropriate for a 33-lb child?
Since 35 lb is included in the range of the inequalities for the second and third card seats, the second and third car seats are appropriate for a 35 lb child.
To answer, we let x be the total number of lions in the zoo. Since, we are given that 2/6 of these lions are not well, this means that 4/6 of them are well. The given 10 is the number of lions that are well.
(4/6)(x) = 10
The value of x is 15. Therefore, 5 of the lions are ill.
Answer:
Step-by-step explanation:
Let's retype that as y = b^x. The inverse of this function is log y = x
b
which you could also write as y = ln x
b
If you had y = e^x, the inverse function would be y = ln x.
Note that if you let ln x be the input to y = e^x, the result would be just 'x,' which confirms that these two functions are inverses of one another.
