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
Answer:
197.6
Step-by-step explanation:
The greatest common factor of 8x and 22yx is 2x.
I got this answer by factoring out 8 and 22:
8: 1,2,4,8
22: 1,2,11,22
Their greatest common factor was 2 and they both have x.
Your answer is 2x.
0 = -16t²+64t+80
Finding the roots of the equation:
-16(t² - 4t - 5) = 0
-16(t-5)(t+1) = 0
t = 5, t = -1. Time cannot be negative, so after 5 seconds it will hit the ground.
Answer:
Point B is (7,3)
Step-by-step explanation:
point A to point B is 7 units apart and 1 unit down.
then from point M you do the same thing based on the slope, you move 7 units right from point M and lastly move 1 unit down which the coordinate point for B should be (7,3).