Step-by-step explanation:
Given inequality is
.
To graph that inequality, first we need to graph the line
. Then shade it for the inequality symbol <.
Graphing line can be done using two points.
plug x=0 into
, we get:

Hence first point is (0,2)
Similarly plug any random number for x say x=4, we get:

Hence first point is (4,5).
Now we just need to graph both points and join them by a dotted line. because we have < not <=.
Next part is to test for shading.
Which can be done using any test point which is not on the given line. Say (0,0)
plug x=0,y=0 into
.


0<2
which is true, hence shading will be in direction of test point (0,0).
Hence final answer will be the choice which looks like the graph attached below;
Answer : D
From the given graph , we can see that
The graph crosses the y axis at 7
So y axis is (0,7)
The graph is increasing at first and reaches (-2,8) and then start decreasing
The graph start increasing at x=-10 and goes on increasing till x= -2
then the graph start decreasing at x=-2 and goes in decreasing till x= 10
The graph crosses the y axis at (0,7), increasing from x=-10 to x=-2 and decreasing from x=-2 to x=10
Answer D is correct
To solve this we can make it into an equation, which looks like this
y = 2x (for Rebecca)
y = x + 10 (for Alice)
The we subtract one equation from the other to solve
0 = x - 10
10 = x
x = 10
Now we replace x in whichever equation and we get 20
So, each girl will read 20 books for them to be at the same book.
Hope this helps, remember that Jesus loves you
Answer:
9
Step-by-step explanation:
8X+4=360-108-80-96
8X+4=76
8X=76-4
8X=72
X=72/8
X=9
Answer:
$15, $20
Step-by-step explanation:
Let u represent the unit price of umbrellas and h the unit price of hats.
Case 1: A. spent $80.
Then $80 = 4u + 5($4), or $80 = $20 + 4u, or $60 = 4u, or
u = $15/umbrella.
Case 2: A spent $100.
Then $100 = 4u + 5($4), or $100 = $20 + 4u, or $80 = 4u, or
u = $20/umbrella.
The least A. could have spent on a single umbrella was $15, and the most was $20.