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:
y<-6 and y>10
Step-by-step explanation:
Theorems are proven with geometric proof
Answer: 1/12 is the answer
Step-by-step explanation: 3 , 4
1 of those colors so , 1/3 x 1/4 = 1/12!!
i hope that helps <3
The baker needs to use 100/3 pounds of 90% chocolate to make the cake.
<h3>
Equation </h3>
An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the amount of 90% chocolate. Using equation:
100 * 70% + x * 90% = (x + 100) * 75%
100 * 0.7 + 0.9 * x = (x + 100) * 0.75
70 + 0.9x = 0.75x + 75
x = 100/3
The baker needs to use 100/3 pounds of 90% chocolate to make the cake.
Find out more on Equation at: brainly.com/question/22688504