Answer:
The greatest number of groups he could have made is 4 groups
Each of the four groups will have:
4 Squares each
7 circles each
Step-by-step explanation:
16 squares
28 circles
Find the highest common factor of 16 and 28
16: 1, 2, 4, 8, 16
28: 1, 2, 3, 4, 7, 14, 28
The highest common factor of 16 and 28 is 4
This means the greatest number of groups he could have made is 4 groups
Each of the four groups will have:
16 squares = 16 / 4
= 4 Squares each
28 circles = 28 / 4
= 7 circles each
Each of the four groups will have:
4 Squares each
7 circles each
Answer:
The answer is 3,906.25
Step-by-step explanation:
All you have to do is divide 15,625 by 4! :)
The change in the water vapors is modeled by the polynomial function c(x). In order to find the x-intercepts of a polynomial we set it equal to zero and solve for the values of x. The resulting values of x are the x-intercepts of the polynomial.
Once we have the x-intercepts we know the points where the graph crosses the x-axes. From the degree of the polynomial we can visualize the end behavior of the graph and using the values of maxima and minima a rough sketch can be plotted.
Let the polynomial function be c(x) = x
² -7x + 10
To find the x-intercepts we set the polynomial equal to zero and solve for x as shown below:
x
² -7x + 10 = 0
Factorizing the middle term, we get:
x
² - 2x - 5x + 10 = 0
x(x - 2) - 5(x - 2) =0
(x - 2)(x - 5)=0
x - 2 = 0 ⇒ x=2
x - 5 = 0 ⇒ x=5
Thus the x-intercept of our polynomial are 2 and 5. Since the polynomial is of degree 2 and has positive leading coefficient, its shape will be a parabola opening in upward direction. The graph will have a minimum point but no maximum if the domain is not specified. The minimum points occurs at the midpoint of the two x-intercepts. So the minimum point will occur at x=3.5. Using x=3.5 the value of the minimum point can be found. Using all this data a rough sketch of the polynomial can be constructed. The figure attached below shows the graph of our polynomial.