Answer:
Step-by-step explanation:
The given equation is: 
,
Now, putting x=2 in above equation,
Now, put y=3 in the given equation,
Putting x=6,
Putting x=0,
Putting x=3,
Putting y=0,
Putting y=8,
Answer:
B. a + s = 15
6a + 4s = 76
Step-by-step explanation:
The two equations you want to write are for the two resources, tickets and dollars. We want to know the numbers of adult and senior tickets, so we assign the variables "a" and "s" to those numbers, respectively. We need to keep the meaning of these variables in mind as we write the equations.
a + s = 15 . . . . the sum of the numbers of tickets is 15 (resource = tickets)
The amount spent for tickets of a given type will be the number of tickets of that type, multiplied by the cost of tickets of that type. Then 6a represents the amount spent on adult tickets ($6 each for "a" number of tickets).
6a +4s = 76 . . . the total amount Beth spent on tickets (resource = dollars)
In summary, the two equations are ...
- a + s = 15
- 6a +4s = 76 . . . . . . matches choice B
_____
Beth bought 8 adult tickets and 7 senior tickets.
Answer:
The area of the square is 225 cm².
Step-by-step explanation:
Since the geometric figure has a shape of a square, which is a special form of rectangle that has all the sides with the same length, then it's surface area is given by the following formula:
area = length*width = length^2
We can solve for the area by applying the data from the problem, we have:
area = (15)^2
area = 225 cm^2
The area of the square is 225 cm^2.
<span>First we find the critical points by taking the first derivative and setting it equal to zero. So y'=27x^2-27=27(x^2-1)=27(x+1)(x-1)=0. The critical points are x=-1 and x=1. But we have a closed interval here and x=-1 is not in that interval. We must check the values of the endpoints and x=1, the critical point.
We substitute those back into the original and get
y(0)=9, y(1)=9-27+9=-9 and y(3)=9(3)^3-27*3+9=171.
When it asks for values, it is asking for y values.
The absolute minimum is -9 and the absolute maximum value is 171.</span>
