Answer:
f(3)=21
Step-by-step explanation:
f(1)=3
f(n)=2f(n-1)+3
n=2
f(2)=2f(2-1)+3
f(2)=2f(1)+3
f(2)=2*3+3
f(2)=6+3
f(2)=9
n=3
f(3)=2f(3-1)+3
f(3)=2f(2)+3
f(3)=2*9+3
f(3)=18+3
f(3)=21
The range is
r: {-9,4,6,8, 10}
hope this helpsss
So 9 x 16 =?? So u have to times those and u should get the answer
Answer:
g(x) = - sqrt(x+8) reflected about the x axis and shifted 8 units to the left
h(x) = 2 sqrt(x) +1 is stretched by 2 in the y direction and shifted up 1 in the y direction
Step-by-step explanation:
y = f(x + C) C > 0 moves it left
So we moved it 8 units to the left
y = −f(x) Reflects it about x-axis
g(x) = - sqrt(x+8) reflected about the x axis and shifted 8 units to the left
y = f(x) + C C > 0 moves it up
so we moved it up 1 units
y = Cf(x) C > 1 stretches it in the y-direction
and stretched it by 2 in the y direction
h(x) = 2 sqrt(x) +1 is stretched by 2 in the y direction and shifted up 1 in the y direction
Take everything to one side and equate it to zero
So: 5x^2 -x -1=0
Next factorise so it’s 5(x^2-1/5)-1=0
So: 5(x-1/5) ^2 -1=0
So complete the square
First of all remove the five by division (x- ((1/5)/2)^2+ (1/5/2)^2 ) -1 =0
So (x- 1/10)^2 +1/5 +1/100 =0
Answer is (x-1/10)^2 -21/100 =0
Take -21/100 to the other side so:
(x-1/10)^2 = 21/100
Square root both sides so
(X-1/10) = square root of 21/100
Take -1/10 to the other side so
X= 1/10 + square root of 21/100
