Answer:
Step-by-step explanation:
by theorem :
f continu in [1 , 2]
f(1)×f(2) < 0 because : f(1) = -1 and f(2) = 15
so the equation f(x)=0 has at least one real root between x=1 and x=2
so :
The standard form of a parabole is: (y-k) = a(x-h)², Where (h , k) are the coordinates of the vertex
In the example Vertex (3,1) ,
so (y-1) = a(x-3)². (a)
Now let's calculate a. The y-intercept coordinates(0 , 10), Replace in (a) x by 0 & y by 10:
(10-1) = a(0 - 3)²
9 = 9a and a=1
<u />The equation becomes : y-1 = (x-3)², Expand (y-1) = x²-6x+9
<u />and finally y = x² - 6x +10 (ANSWER C)
Answer:
246.76$
Step-by-step explanation:
199 x .24 =
47.76
199 + 47.76 =
246.76
Answer:
Hence, the particular solution of the differential equation is 
.
Step-by-step explanation:
This differential equation has separable variable and can be solved by integration. First derivative is now obtained:
, where C is the integration constant.
The integration constant can be found by using the initial condition for the first derivative (
):
The first derivative is 
, and the particular solution is found by integrating one more time and using the initial condition (
):
Hence, the particular solution of the differential equation is .
