We cant answer the question without the diagram.
Answer:
⦿ (7, 2)
Step-by-step explanation:
Try each solution in both inequalities and see which solution makes both inequalities true.
4x + 2y > 8
x - y ≥ 2
A. (2, 4)
4(2) + 2(4) > 8
16 > 8 True
2 - 4 ≥ 2
-2 ≥ 2 False
B. (4, 0)
4(-4) + 2(0) > 8
-16 > 8 False
C. (7, 2)
4(7) + 2(2) > 8
32 > 8 True
7 - 2 ≥ 2
5 ≥ 2 True
D. (1, -3)
4(1) + 2(-3) > 8
-2 > 8 False
Answer: C.
Answer:
A
Step-by-step explanation:
-5 represents the rate at which the temperature drops while 54 represents the initial temperature.
Answer:
graph is attached below.
Step-by-step explanation:
Given : equation 3x ≤ 2y - 7
We have to plot the graph for the given inequality.
Consider the given inequality 3x ≤ 2y - 7
To plot the graph we first convert inequality to equality.
then equation becomes, 3x = 2y - 7
We find the points to plot this line,
at x = 1
⇒ 3(1) = 2y - 7
⇒ 3 = 2y - 7
⇒2y = 10
⇒ y = 5
at x = 3
⇒ 3(3) = 2y - 7
⇒ 9 = 2y - 7
⇒2y = 16
⇒ y = 8
at x = 5
⇒ 3(5) = 2y - 7
⇒ 15 = 2y - 7
⇒2y = 22
⇒ y = 11
Thus, points are (1 , 5) , (3,8) and (5 , 11)
Now we plot these points and obtained the graph of line 3x = 2y -7
For region to be shaded take a test point and check whether it satisfy the given given inequality or not.
Let point be (-3, 0)
Substitute x= -3 and y = 0, we get
3(-3) ≤ 2(0) - 7
⇒ -9 ≤ - 7 (true)
Graph plot is as shown below.
<h2>
Hello!</h2>
The answer is:
The difference between the areas of the circles will be:

<h2>
Why?</h2>
To find the diffence in area between the two circles, we need to find both areas and then, subtract the smallest circle area to the largest circle area.
So,
For the small circle, we have:

For the large circle, we have:

Hence, we have that the difference between the areas of the circles will be:

Have a nice day!