Given:
The inequalities are:


To find:
The integer values that satisfy both inequalities.
Solution:
We have,


For
, the possible integer values are
...(i)
For
, the possible integer values are
...(ii)
The common values of x in (i) and (ii) are

Therefore, the integer values -1, 0 and 1 satisfy both inequalities.
Answer: She can fill about 15 3.5- fluid once jars.
Step-by-step explanation:
Given:
Quantity of red paint = 34.6 fluid ounces
Quantity of yellow paint = 18.6 fluid ounces
Total quantity of orange color = (Quantity of red paint )+(Quantity of yellow paint )
= (34.6+18.6) fluid ounces
= 53.2 fluid ounces
Number of 3.5- fluid ounce jars she can fill = (Total quantity of orange color) ÷ 3.5
= 53.2÷3.5 = 15 (approx)
Hence, She can fill about 15 3.5- fluid once jars.
Hi there!
The answer is A. The constant 900 represents the amount Kayla's bakery earns in a particular month when there are no online orders.
Since 900 is part of the cost that is added to the amount of money Kayla makes per online order (x), it must represent the amount Kayla's bakery makes without online orders.
Hope this helps!
No, probably is on a scale between 0 and 1. Anything beyond those numbers is mathematically impossible. Since 3/2 = 1.5, it is not valid
Note: Actually, the division problem should be in reverse order. It should be given as
---------(i)
But according to the given problem (x + 1) / (x² + 3 x + 2).
Here, (x² + 3 x + 2) > (x + 1)
or, (x + 2) > 1
Concept: By using the property of division, if the numerator is less than the denominator then the quotient will always be 0 (zero)
Therefore the option (d) 0 will be the correct option.