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.
Division means to divide. Divide means to "share out" evenly.
For example, "Tom uses division to share 6 apples, among his 3 friends"
"Tom divides 6 by 3 (written as 6/3)"
Answer:
-24+12(d-3)+22=-24+34(d-3)
10(d-3)
10d=-30
d=-30/10
d=3
Answer:
The correct option is;
B) C(A(x))
Step-by-step explanation:
The given information are;
The cost to install the floor per square foot = $9
The area of the room is given by the function A(x) = x²
The function for the cost per square foot = C(A) = 9·A
We note that the total cost to install the wood floor = (The cost to install the floor per square foot) × (The area of the room)
∴ The total cost to install the wood floor = $9 × x²
Given that A(x) = x², we have;
The total cost to install the wood floor = $9 × A(x)
Also, given that C(A) = 9·A, we have;
C(A(x)) = 9·A(x)
Therefore;
The total cost to install the wood floor in dollar amount can be given by the function, C(A(x)) = 9·A(x)
