Answer:
The Inequality describing the situation is
.
Step-by-step explanation:
Let the number of laps he runs be 
Let the number of laps he swims be 
Now Given:
Time required to run each lap = 3 min
Time required to swim each lap = 2 min
Total minutes he need to exercise more than 45
we need to write the Inequality representing the same.
Solution:
Now we can say that;
Time required to run each lap multiplied by the number of laps he runs plus Time required to swim each lap multiplied by the number of laps he swims should be greater than Total minutes he need to exercise.
framing in equation form we get;

Hence The Inequality describing the situation is
.
Answer:

Step-by-step explanation:
You have the following functions:

Therefore
indicates that you must divide both functions, as you can see below:

Simplify it. Therefore, you obtain:

Answer:
(x+4)^2 =0
Step-by-step explanation:
x2 +8x+16=0
What 2 numbers multiply to 16 and add to 8
4*4 = 16
4+4 =8
(x+4) (x+4) =0
(x+4)^2 =0
Answer:
6, 7, and 8
Step-by-step explanation:
2x/3 + 7 <u>></u> 11
Subtract 7 from both sides
2x/3 <u>></u> 4
Multiply both sides by 3
2x <u>></u> 12
Divide both sides by 2
x <u>></u> 6
6, 7, and 8 are the ones that work