Two possible solutions are: (4.5, 8.5) and (8, 6.3)
<h3>How to graph the inequality?</h3>
Let x represents hours dog walking and y represents hours washing cars.
So, we have:
Earnings = Rate of dog walk * x + Rate of car wash * y
This gives
Earnings = 7x + 11y
He wants to earn at least $125.
This means that:
7x + 11y ≥ 125
See attachment for the graph of the inequality
From the attached graph, two possible solutions are: (4.5, 8.5) and (8, 6.3)
Read more about inequalities at:
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Answer:
Step-by-step explanation:
Set is a well defined collection of objects .
We can express set in roaster form or set - builder form
<u>Roaster Form</u>
We express elements within curly brackets using commas between the elements .
<u>Set Builder Form</u>
In set builder form , all the elements of the set possess a common property which is not possess by elements outside the set .
We describe the elements of set using a symbol x which is followed by a colon . After colon , we write property possessed by the element and then enclosed the description within curly brackets .
(a)The set of all humans whose first name is Tanya or Nelson
We need to write this one in set builder form .
Define set as follows : { x ∈ H : H is set of all the humans and x is either Tanya or Nelson }
<u>Answer:</u>
The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.
<u>Solution:</u>
Given, expression is 
We have to solve the above expression using change of base formula which is given as

Now, let us first apply logarithm for the given expression.
Then given expression turns into as, 
By using change of base formula,
x + 2 = 2.4649
x = 2.4649 – 2 = 0.4649
Hence, the value of x is 0.465 approximately and second option is correct one.
speed = Distance taken / time travelled