Answer:
The correct answer is A.
Step-by-step explanation:
Method 1
You just have to plot each point on the graph.
The one that falls within the solution region is the correct choice.
From the graph, falls within the solution region.
See graph
Method 2
If you substitute the points into the inequalities, the only point that will satisfy both inequalities simultaneously is A.
The first inequality is
If we substitute , we get;
This statement is true.
The second inequality is
If we substitute , we get;
This gives,
This statement is also true.
For this case we can have the following function:
r = f (t)
Where,
Independent variable is t.
Dependent variable is r.
To find the inverse we solve for the independent variable, that is, the data entry variable.
Answer:
FALSE
option B
Answer:
The graph in the attached figure
see the explanation
Step-by-step explanation:
we have
we know that
The radicand must be greater than or equal to zero
so
solve for x
Adds 3 both sides
Multiply by -1 both sides
Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so
The domain of the function is the interval (-∞,-3]
For x=-3 ---> the value of y=0
The range is the interval {0,∞)
therefore
The graph in the attached figure
Answer:
a. Decay
b. 0.5
c. 4
Explanation:
If we have a function of the form
then
a = intital amount
b = growth / decay rate factor
x = time interval
If b > 1; then the equation is modelling growth. If b < 0, then the equation is modelling decay.
Now in our case, we have
Here we see that
inital amount = a = 4
b = 1/ 2 < 0, meaning the function is modeling decay
decay factor = b = 1/2
Therefore, the answers are
a. Decay
b. 0.5
c. 4
Answer:
62 sq cm
Step-by-step explanation:
if you find the area of the entire shape (12x6) you can then subtract out the cut-out portion (5x2)
72 - 10 = 62
