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:
C, C, C
Hope This Helps! Have A Nice Day!!
Is means equals. The number before the words Less than means that number is subtracted from that number. 3 times a number, we don’t know the number so we use a variable, 3x. So..........
3x-5=10
Answer:
B. (3,0)
Step-by-step explanation:
The x-intercept is the point where the graph of the function meets the x-axis.
At x-intercept, <u>y = 0 or f(x) = 0</u>
So look through the table and find where <u>f(x) = 0.</u>
From the table, <u>f(x) = 0 at x = 3.</u>
We write this as an ordered pair.
Therefore the x-intercept is <u>(3,0)</u>
The correct choice is <u>B</u>.
divide the shape into 2 triangles and 1 rectangle
left triangle :
hypotenuse = 7 in
height = 6 in
base = x
find the base using pythagoras theorem
x = √( 7² - 6² )
x = √13
x = 3.6 in
find it's area
6 × 3.6 ÷ 2 = 10.8
right triangle :
hypotenuse = 9 in
height = 6 in
base = x
find the base using pythagoras theorem
x = √( 9² - 6² )
x = √45
x = 6.7 in
find area
9 × 6.7 ÷ 2 = 30.15 in
middle rectangle :
16 in - left tri. base = base
16 - 3.6 = 12.4
find area
6 × 12.4 = 74.4
sum of the area
10.8 + 30.15 + 74.4 = 115.35
