Answer: 0
Step-by-step explanation:
Let's go ahead and construct an equation to show this. Together, they have 50 goldfish. This can be represented as =50.
Since we don't know how many Todd has, we're going to make a variable. We'll name it T, for Todd.
What about Andres? How many does he have? 10 more than Todd. Well, if Todd's amount is T, and Andres has 10 more, we can express that as T+10.
Now, just put the two pieces together! T+10=50.
The next step is inverse operations. You want to find out how many T is, so you need to get rid of the 10. To take 10 away from something is doing what? Subtraction! Be warned, though; whatever you do to one side of the problem, you have to do to the other. 10-10 is 0, and 50-10 is 40. Since we took the 10 away and 50 is now 40, what you're left with is T=40.
Wait a second.. wasn't "T" Todd's amount? Yep! That means that Todd has 40 goldfish. And we already know that Andres has 10, so there's your answer!
The total cost for plumber number 1 expressed as a function of x is
c1(x)=45x+90
That is, the charge per hour times the number of hours plus the fixed charge for a visit.
Using the same pattern, write the function for the second plumber. Then set the two functions equal to each other and solve for
Answer:
b. circle; 
Step-by-step explanation:
The given conic has equation;
We complete the square to obtain;
This is a circle with center;
This implies that;
When the circle is rotated through an angle of 
,
The new center is obtained using;
and 
We plug in the given angle with x and y values to get;
and 
This gives us;
The equation of the rotated circle is;
Expand;
Multiply through by 4; to get
Write in general form;
Divide through by 2.
Answer:
x² = 35
Step-by-step explanation:
This expression as an equation is x² = 35
<em>x</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>second</em><em> </em><em>power</em><em> </em><em>is</em><em> </em><em>x²</em>
<em>Therefore</em><em> </em><em>x</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>second</em><em> </em><em>power</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em><em>35</em><em> </em><em>as</em><em> </em><em>an</em><em> </em><em>equation</em><em> </em><em>is</em><em> </em><em><u>x²</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>35</u></em>
