Plug in 3 for x and solve for k.
(3)^2-3k+21=0
3k=9+21
3k=30
k=10
The average rate of change of on the interval [a,b] is:
f(b)−f(a)/ b-a
or
y1-y2/x1-x2 which is how I learned it, average ratw of change is just slope
so you would plug your numbers into x
1st the b: 6((1))^2+31((1))-12
=6+31-12 1^2=1, so it cancels
f(b) =25
2nd the a: 6((-2))^2+31((-2))-12
=6(4)+31(-2)-12
=24+-62-12
f(a) =-50
3rd plug them in: (25- -50)÷(1-(-2)
=75÷3
=25
so your average rate of change(or slope) is 25 :)
Answer:
80 degrees
Step-by-step explanation:
First find the the angles N and L:
5x=3x+40
2x=40
x=20
m<N= 100 m<L=100
Now we know that the sum os all Interior angles of a parallelogram is 360
and you know that opposite sides are equal
hence,
2y= 360-2(100) y being angle M (or o)
2y= 160
y=80
Answer: 4/9 of the class are boys and 5/9 of the class are girls.
Step-by-step explanation:
- There are 9 nine students in total in the class since 4 + 5 = 9.
- Input the amount of boys and girls there are in the class in the numerator and have 9 as the denominator. 4/9 of the class are boys and 5/9 of the class are girls.
