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 above the dashed line 
The y-intercept of the dashed line is (0,6)
The x-intercept of the dashed line is (-24,0)
The slope of the dashed line is positive m=1/4
------>inequality B
The solution of the inequality B is the shaded area above the dashed line 
The y-intercept of the dashed line is (0,-1)
The x-intercept of the dashed line is (0.5,0)
The slope of the dashed line is positive m=2
The solution of the system of inequalities is the shaded area between the two dashed lines
using a graphing tool
see the attached figure
The values of the triangles are as follows:
- x = 7 units
- GH = 21 units
- HI = 21 units
- GI = 12 units
<h3>How to find angles and side of a triangle?</h3>
The triangle is an isosceles triangle because two sides and angles are equal. Therefore,
4x - 7 = 2x + 7
4x - 2x = 7 + 7
2x = 14
x = 14 / 2
x = 7 units
GH = 4(7) - 7 = 28 - 7 = 21
HI = 2(7) + 7 = 14 + 7 = 21
GI = 7 + 5 = 12
learn more on triangle here: brainly.com/question/21279088
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Answer:
1) $8000
2) $1000
3) 8 months, since y represents our remaining amount to be paid, we set it equal to 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.
Step-by-step explanation:
We have the equation y = -1000x + 8000 which follows the linear equation:
y = mx + b, where m is our slope and b is our y-intercept
1) The initial balance can be found with our constant "b" which in this case is 8000. You can also plot the function of y and you will find that 8000 is the intercept when x = 0, aka the start
2) We can calculate the rate of change for when the loan is repaid by looking at the slope "m", in this case it is 1000. It subtracts 1000 each month, meaning $1000 is being payed and taken out of the bank account
3) To find how many months it will take for the loan to be repaid, let's solve for x when y = 0.
0 = -1000x + 8000
-8000 = -1000x
8 = x
It will take 8 months. Why? Since y represents our remaining amount to be paid, we set it = 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.
