Answer:

Step-by-step explanation:

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.
Step-by-step explanation:
log(x+2)-log(x-1)=log2
log(x+2)/(x-1)=log2
=> (x+2)=2(x-1)
=>x+2 =2x-2
=> x=4
X/9 - 7 is the answer. note x/9 is in fraction form
Answer:
Choice D: Perimeter = 5 +
+
units
Step-by-step explanation:
point B(9, 2) , point C(4, 5), point A (1,1)
Perimeter = D( A, C) + D (A, B) + D (B, C)
where D (A, C) = distance between A and C
so...
D(A, C) = root ( (4 - 1)^2 + (5 - 1)^2) = 5 from a 3-4-5 right triangle.
D(A, B) = root( (9- 1)^2 + (2 -1)^2) = root( 64 + 1) = root(65)
D(B, C) = root( (9 -4)^2 + (2 -5)^2) = root (25 + 9) = root(34)
Perimeter = 5 + root(65) + root(34)
Perimeter = 5 +
+
units