Answer:
y = 2x -1
Step-by-step explanation:
the line passes through -1 on the graph
it rises 2
and moves right once
Hope this helps ! (:
5
Answer:
1/2 ÷ 4 = 1/8
Step-by-step explanation:
The way to think about this is you want to divide how much you have by how many people there are.
a)if you wanted to buy one cookie from Sara how much would it cost ?
b) how much would it cost to buy20 of Sara's cookies ?
show your work and explain you reasoning .
y is greater than or equal to negative 5 over 2 times x plus 5
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (5, −8) included in the solution area for the system? Justify your answer mathematically. (4 points)
Answer:
:Part A) The graph in the attached figure (see the explanation)
Part B) The ordered pair is not included in the solution area for the system (see the explanation)
Step-by-step explanation:
Part A) we have
----> inequality A
The solution of the inequality A is the shaded area below the dashed line
The slope of the dashed line is positive
The y-intercept of the dashed line is (0,-8)
The x-intercept of the dashed line is (2,0)
----> inequality B
The solution of the inequality B is the shaded area above the solid line
The slope of the solid line is negative
The y-intercept of the solid line is (0,5)
The x-intercept of the solid line is (2,0)
The solution of the system of inequalities is the shaded area between the dashed line and the solid line
see the attached figure
Part B) is the point (5, -8) Included in the solution area for the system?
we know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities
Substitute the value of x=5, y=-8 in each inequality and then analyze the results
Inequality A
----> is true
so
the ordered pair satisfy inequality A
Inequality B
---> is not true
so
the ordered pair not satisfy the inequality B
therefore
The ordered pair is not included in the solution area for the system