Answer:
The next number selected should be between 2 and 3 .
Step-by-step explanation:
x. x f(x) g(x)
0 10 17
1 11 19
2 14 21
3 19 23
4 26 25
3.5 22.25 24
<u>2.5 16.25 22</u>
1.5 12.25 20
0.5 10.25 18
We see the pattern that it is increasing with only a unit. The last given data is mid of the last two values that is 3 and 4.
So the next value would be the mid of the next last two values that is 2 and 3 and will be 2.5
Now it is moving in the reverse direction in the same pattern with a difference of a unit.
Step-by-step explanation:
Putting both functions into a graphing calculator, we can easily find the domain and range. (attatched)
By looking at the graph, we can tell that f(x) is a quadratic function because of the symmetry. We can also tell that it never goes below 4. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 4}
By looking at the graph, we can tell that g(x) is an exponential function because it has a curve, and never goes below the x. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 0}
Standard equation of a circle: <em>(x-h)² + (y-k)² = r²</em> where <em>(h, k)</em> is the center and <em>r </em>is the radius. In the case of our equation here, <em>(x-5)² + (y+3)² = 25</em>, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.
We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.
Distance =

Distance =

Distance =

Distance =

Distance =

Vertical angles are equal
4x = 45 + 15
4x = 60
x = 60/4
x = 15
Answer:
Maureen earned $123.19 doing odd jobs
Step-by-step explanation:
The compound interest formula is given by:

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.
In this question:
Compounded quarterly means that 
10 years, so 
9% interest, so 
There is $300.00 in the account, which means that 
How much did Maureen earn doing odd jobs?
This is P.





Maureen earned $123.19 doing odd jobs