Answer:
U=1-5(x-2)^2
Step-by-step explanation:
The equation of the parabola with vertex (h,k) is y=a(−h+x)2+k
Thus, the equation of the parabola is y=a(x−2)2+1
To find a, use the fact that the parabola passes through the point (3,−4): −4=a+1
Solving this equation, we get that a=−5
Thus, the equation of the parabola is y=1−5(x−2)^2
Answer:
Union and Intersection
Step-by-step explanation:
We know that the algebra of sets define the properties and laws of the sets.
The basic operations of sets are,
Union, Intersection, Complement of a set and Equality of sets.
Since, the operations addition, subtraction, multiplication and division are the basic arithmetic operations of numbers.
i.e. they are not in the algebra of sets.
So, we get that out of the given options, the operations in algebra of sets are Union and Intersection.
<span>Since Jeff is paying an annual amount of $744 he needs to set aside 12 monthly payments for the year. To figure out how much each payment would be you divide the total for the year 744 by the number of months 12. $744/12=$62 Each monthly payment would be $62</span>
Look at the attached image (credit to Desmos graphing calculator)
To graph the equation y=4x+1, we just find two points that exist, plot them, and draw a straight line that goes through them.
Let's try x=0:
One point on the line is (0,1)
Let's try x=1:
Another point is (1,5).
Now, plot these two points and draw a line through them.
