y= 7- ( the length of candle decreased for 30 min)x
Answer:
X = 8
Y = 32
Z = 16
Step-by-step explanation:
X + Y + Z = 56
Y = 2Z
X = Z – 8
Substitute the values from the second and third equation into the first equation:
Z – 8 + 2Z + Z = 56
Simplify
-8 + 4Z = 56
4Z = 64
Z = 16
So if Y = 2Z, Y = 2(16) = 32
And if X = Z – 8, X = 16-8 = 8
So, this is the answers you get from plugging in x = (7 through 10)
x = 7 ... 24
x = 8 ... 36
x = 9 ... 50
x = 10 ... 66
Then you get the rate of changes...
66 - 50 = 16
50 - 36 = 14
36 - 24 = 12
So the average of 16, 14 and 12 (those values added together and then that total divided by the number of values, which is 3) is 14
The average rate of change is 14
The values of p for which the equation px = 10 have a solution −5; 1; 20 is -2, 10, 
<u>Solution:</u>
Given, equation is px = 10.
We have to find the values of p for which solutions of given equations becomes -5, 1, 20.
We just need to substitute -5, 1, 20 in given equation as x, to values of p.
Now, For -5 ⇒ p(-5) = 10 ⇒ -5p = 10 ⇒ p = -2
For 1 ⇒ p(1) = 10 ⇒ p = 10
For 20 ⇒ p(20) = 10 ⇒ 20p = 10 ⇒ p =
Hence, the values of p are -2, 10, for the solutions -5, 1, 20 respectively.
