Answer:
1,5
Step-by-step explanation:
Answer:
( 2 , -1 )
Step-by-step explanation:
Given:-
A penguin starts on a slide 3 feet above the water. He slides down and glides underwater. The function of penguin height above/below the water is given by:
y = x^2 - 4x + 3
Find:-
-The extreme value (vertex) of the parabolic path
Solution:-
- The vertex ( turning point - minima or maxima ) can be evaluated by taking the first derivative of the given function and setting it equal to zero.
dy/dx = 2x - 4
0 = 2x-4
- Then solve for the critical value of function "x":
x = 4/2 = 2 ft
- The vertex can be evaluated by substituting the critical value of "x" back into the function and evaluate for y:
y = (2)^2 -4*2 + 3
y = 4 - 8 + 3
y = -1 ft
- The vertex of parabolic path lies at the coordinates ( 2 , -1 ). That is 2ft horizontal and 1 ft under water.
Answer:
21 + 3x
Step-by-step explanation:
hope this helps
Let the number of orders Eric served be x
Eric = x
Mai = x+ 8 [Mai served 8 more than Eric]
Dean = 3x [Dean served 3 times as many as Eric]
Given that the total is 103
x + x + 8 + 3x = 103
5x + 8 = 103
5x = 103 - 8
5x = 95
x = 19
x = 19
x + 8 = 19 + 8 = 27
3x = 19 x 3 = 57
Eric served 19
Mai served 27
Dean served 57
Answer:
After 11 weeks, Darnell′s savings account will have a total of $8,360.
Step-by-step explanation:
The data provided is as follows:
n: 1 2 3 4
f (n): 260 360 460 560
Consider the data for f (n).
The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.
The nth term of an arithmetic sequence is:
Compute the value of f (11) as follows:
Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.