Answer:
61.6666666667 =61.67
Step-by-step explanation:
The reasons put into the correct order to justify solving the inequality:
- -2(x + 6) < 3(x + 1) - Given
- -2x - 12 < 3x + 3 - Distributive Property
- -2x < 3x + 15 - Addition Property of Order
- -5x < 15 - Subtraction Property of Order
- x > 3 - Division Property of Order
<h3>Justify each property of equality</h3>
-2(x + 6) < 3(x + 1) - Given
-2x - 12 < 3x + 3 - Distributive Property
-2x < 3x + 15 - Addition Property of Order
-5x < 15 - Subtraction Property of Order
x > 3 - Division Property of Order
Check how to solve:
-2(x + 6) < 3(x + 1)
Open the parenthesis
-2x - 12 < 3x + 3
Add 12 to both sides
-2x - 12 + 12 < 3x + 3 + 12
-2x < 3x + 15
Subtract 3x from both sides
-2x - 3x < 3x + 15 - 3x
- 5x < 15
divide both sides by -5
x > 3
Therefore, the solution to the given inequality -2(x + 6) < 3(x + 1) is x > 3.
The properties mentioned above are properties of inequalities and hold for all situations of inequalities as given.
Read more on property of equality:
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i think we need a picture
Answer:
y= -2x+ 3
Step-by-step explanation:
A ) A function representing the amount of the dose that remains:

B ) Graph is in the attachment.
C ) f ( 10 ) = 10 * ( 0.95 ) ^10 = 10 * 0.5987 = 5.987 ≈ 6
Answer:
D ) f ( x ) = 10 ( 0.95 ) x; about 6 units.