Answer:
1. y ≥ 100
2. y ≤ 300
3. y ≥ 20000
4. 2y ≥ 80
5. 2y ≤ 90
Step-by-step explanation:
Let y be the variable.
1. The discount is not less than 100.
If the discount (i.e y) is not less than 100, it means it is either 100 or greater than 100.
This can be written as:
y ≥ 100
2. The cost of the book is at most 300.
This implies that the cost of the book (i.e y) is either 300 or lesser.
This can be written as:
y ≤ 300
3. His monthly income is at least 20000. This simply means that his monthly income (i.e y) is 20000 or greater than 20000.
This can be written as:
y ≥ 20000
4. Twice the number is at least 80.
Let the number be y.
Twice the number y can be written as:
2y
But twice the number is at least 80.
This means that twice the number is 80 or greater than 80. This can be written as:
2y ≥ 80
5. Twice the measure of the acute angle is not more than 90 degree.
Let the angle be y.
Twice the angle can be written as:
2y
But twice the measure of the angle is not more than 90 degree. This implies that twice the angle is 90 or lesser than 90. This can be written as:
2y ≤ 90
Implicit defferentation
remember that dy/dx y= dy/dx
so
take derivitive of both sides

solve for

minus 2x both sides

divide both sides by 2y


when is the slope equal to

solve for





find where the circle and this line intersects
substitute

for y




times both sides by


sqrt both sides, take positive and negative roots
x=+/-10
sub back




the points are (10,-24) and (-10,24)
Answer:
do the opposite of the equation so adding is subtracting and multiplying is dividing
-30-7=-37
-37+13=-24
-24 is the answer
-24+7=-17-13=-30
Hope this helps
Step-by-step explanation: