Answer:
Graph of the inequality 3y-2x>-18 is given below.
Step-by-step explanation:
We are given the inequality, 3y-2x>-18
Now, using the 'Zero Test', which states that,
After substituting the point (0,0) in the inequality, if the result is true, then the solution region is towards the origin. If the result is false, then the solution region is away from the origin'.
So, after substituting (0,0) in 3y-2x>-18, we get,
3\times 0-2\times 0>-18
i.e. 0 > -18, which is true.
Thus, the solution region is towards the origin.
Hence, the graph of the inequality 3y-2x>-18 is given below.
Answer: Use 1.75 cups of blue and 1 cup of yellow
Step-by-step explanation:
The given problem can be placed in the category of ratios and proportions. There is a ratio of color mixing which contains the proportion of two colors i.e blue and yellow. When we use 2 cups of yellow with 3.5 cups of yellow then we get green color so if we mix half of their amounts then we can get less or simply half amount of color too. Hence adding 1 cup of yellow and 1.75 cup of blue will give us small amount in result.
Answer:
The sum is equal to 5
Step-by-step explanation:
we know that
The algebraic expression of the phrase " the sum of negative two squared plus one" is equal to

If you mean 3x then that would be 6
hope this helps you
Answer:
a. Decay
b. 0.5
c. 4
Explanation:
If we have a function of the form

then
a = intital amount
b = growth / decay rate factor
x = time interval
If b > 1; then the equation is modelling growth. If b < 0, then the equation is modelling decay.
Now in our case, we have

Here we see that
inital amount = a = 4
b = 1/ 2 < 0, meaning the function is modeling decay
decay factor = b = 1/2
Therefore, the answers are
a. Decay
b. 0.5
c. 4