Answer:
33%
Step-by-step explanation:
Since the probability of rain on Thursday is 67%, the probability of no rain on Thursday is 100% - 67% = 33%.
5, 20, 80, 320, 1280, 5120, 20480, 81920, 327680, 1310720, 5242880, 20971520
The 12th term would be 20,971,520
Everything is being multiplied by 4 each time
Answer:
a. -5
b.-5
c.-5
Step-by-step explanation:
In order to find the average rate of change of a function , we divide the change in the output value by the change in the input value.
Generally, the average rate of change (ARC) on an ecuatios between two points (x1,f(x1)) and (x2,f(x2)) is
- ARC = [f(x2)-f(x1)]/ (x2-x1)
<em>In case a)</em>
f(-1)= -5*(-1)-8=5-8= -3 f(3)= -5*3-8= -23
Then ARC= (-23-(-3))/(3-(-1))=-20/4=-5
<em>In case b)</em>
f(a)= (-5a-8)
f(b)= (-5b-8)
Then ARC= [(-5b-8)-(-5a-8)]/(b-a)= (-5b+5a)/(b-a)= -5(b-a)/(b-a)= -5
<em>In case c)</em>
f(x)= -5x-8
f(x+h)= -5(x+h)-8= -5x-5h-8
then ARC= [(-5x-5h-8)-(-5x-8)]/(x+h-x) =-5h/h= -5
Answer:
2,436
Step-by-step explanation:
3 + -4x = 5(x +6)
Re-order the terms:
3 + -4x = 5(6 + x)
3 + -4x = (6 . 5 + x . 5)
3 + -4x = (30 + 5x)
Solving:
3 + -4x = 30 + 5x
Solving for variable "x"
Move all terms containing "x" to the left, all the other terms to the right.
Add "-5x" to each side of the equation.
3 + -4x + -5x = 30 + 5x + -5x
Combine like terms: -4x + -5x = -9x
3 + -9x = 30 +5x + -5x
Combine like terms: 5x + -5x = 0
0 + -9x = 30 +0
3 + -9x = 30
Add "-3" to each side of the equation.
3 + -3 + -9x = 30 + 3
Combine like terms: 3 + -3 = 0
0 + -9x = 30 + -3
-9x = 30 + -3
Combine like terms: 30 + -3 = 27
-9x = 27
Divide each side by "-9".
x = -3
Simplifying:
x = -3
