Answer:
The average rate of change is:
Step-by-step explanation:
The rational function given to us is;
The average rate of change of this function from x=0 to x=8 is the slope of the secant line connecting:
(0,f(0)) and (8,f(8))
Average rate of change =
X² + 10x +2 = 0 .Complete the square of (x² + 10x + ??)
We know that (10x) is equal to twice the square root of the 1st (x) by ??
10x = 2.x.(??) and ?? = 5 and its square is 25. Then I have to add 25 and subtract 25 so that not to change the equation:
(x² + 10x + 25) -25 +2 =0
(x+5)² -23
Answer:
Substitute the x and y values from the ordered pairs into the equation, one by one, until both sides of the equation are equal.
Step-by-step explanation:
A. (-2,-3)
3 * (-2) - 4 * (-3) = 21
-6 + 12 = 21
6 = 21 <u>not equal</u>
B. (0,7)
3 * 0 - 4 * 7 = 21
0 - 28 = 21
- 28 = 21 <u>n</u><u>o</u><u>t</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>l</u>
C. (7,0)
3 * 7 - 4 * 0 = 21
21 - 0 = 21
21 = 21 <u>equal</u>
35 because you add 3 and 6 and that gives you 35x
Answer:
No, Elias doesn't have enough quantity of each ingredient to make 45 mince pies.
Step-by-step explanation:
For making 18 Mince Pies Elias needs
200g Butter
225g flour
150g sugar
250g Mincemeat
1 egg
Inorder to make 45 mince pie's he's gonna need 45/18=2.5 times the ingredients he needs to make 18 Mince Pies.
As he doesn't have enough Mincemeat (has only 600g but needs 250*2.5=625g of mincemeat)
As he is short of 25g of Mincemeat, he is unable to make 45 Mincepies.
