If you use a calculator you would get the answer 8. Because 8x8x8=512
Yes, (3,-1) is a solution to the graphed system of inequalities.
<h3>What are system of inequalities?</h3>
When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalties.
A collection of inequalities for which we consider a common solution for all inequalities is called a system of inequalities.
As we can see in the graph that the two lines are interest in the second quadrant at point such as(x, -y).
So, the point will be a solution also because it lies in the shaded region.
Therefore, Yes, (3,-1) is a solution to the graphed system of inequalities.
Learn more about graphing inequalities here:
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Answer:
(a)z=-1
(b)48.5 pounds
(c)61.5 pounds
Step-by-step explanation:

Given:
Mean, μ = 55 pounds
Standard deviation,σ = 6 pounds.
(a)For a dog that weighs 49 pounds.
x=49 pounds
The z-score

(b)When a dog has a z-score of -1.09

The weight of a dog with a z-score of -1.09 is 48.5 pounds.
(c)When a dog has a z-score of 1.09

The weight of a dog with a z-score of 1.09 is 61.5 pounds.
The total time taken for round trip will be: (f+g)(x) = 14x+11
Step-by-step explanation:
Given

In order to find the round-trip time, we have to add both functions to represent the time taken to travel east and the time taken to travel to west.

Hence,
The total time taken for round trip will be: (f+g)(x) = 14x+11
Keywords: Functions, variables
Learn more about functions at:
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So you want to know how much was paid in total?
First, how much is 18% of 43?
43*0.18 =8.64
so the total prize will be the sum of the gratuty and the dinner prize: 43+8.64=51.64
and this is the solution!