Answer:
The graph in the attached figure
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area below the dashed line
The slope of the dashed line A is positive m=2
The y-intercept of the dashed line A is (0,-5)
The x-intercept of the dashed line A is (2.5,0)
----> inequality B
The solution of the inequality B is the shaded area above the dashed line
The slope of the dashed line B is negative m=-3
The y-intercept of the dashed line B is (0,1)
The x-intercept of the dashed line B is (1/3,0)
The solution of the system of inequalities is the shaded area between the two dashed lines
using a graphing tool
The graph in the attached figure
Answer:
The average final score = 82.58
Step-by-step explanation:
we have given,
Grading Scale 1 has the following weights :-
Tests- 50% , Quiz- 25% , Homework- 15% and Final Exam- 10%
Total % marks obtained in tests = = 81.33%
Total % marks obtained in quiz = = 83.66%
Home work score = 90
final exam score = 75
Now, Weight of tests grade = 50% of 81.33 = 40.665
Weight of quiz grade = 25% of 83.66 = 20.915
Weight of homework = 15% of 90 = 13.5
Weight of final exam = 10% of 75 = 7.5
So the average final score = 40.665 + 20.915 + 13.5 + 7.5 = 82.5
8
We need to write system of equations for this problem. Reading text we write 1 equation by 1.
first lets name our variables
x - Kiana cards
y - Gary cards
z - Monty cards
m - Willa cards
x = y-3 which we can write as y = x+3
z = x + 7
m = 2z
x + y + z + m = 74
I think easiest way to solve this is to express all variables in last equation and solve for x.
x + x+3 + x + 7+ 2x + 14= 74
5x = 50
x = 10
now we just calculate cards given to each friend
y = 13
z = 17
m = 34
Answer:
Q1, x=2 and all sides equal 8
Q2, x=3, MN and MP equal 10 and NP equals 8
Step-by-step explanation:
On an equilateral triangle all sides are equal
6x-4=3x+2
6x=3x+6
3x=6
x=2
6x-4
6(2)-4
12-4
8
On a isosceles triangle the two long sides are equal
4x-2=5x-5
4x=5x-3
-x=-3
x=3
4x-2
4(3)-2
12-2
10
3x-1
3(3)-1
9-1
8