Answer:
- D) A vertical dilation by a factor of 3 and a vertical shift down 2 units
Step-by-step explanation:
<u>Given</u>
- f(x)=10^x
- g(x)=3(10)^x - 2
<u>We see that:</u>
This is a vertical stretch by a factor of 3 and translation down 2 units
Correct choice is D
Answer:
y = 3x + 6
Step-by-step explanation:
Since the line is parallel, it has the same slope -- 3
y = 3x + b, sub point (1, 9)
9 = 3(1) + b
9 = 3 + b
b = 9 - 3
b = 6
y = 3x + b -- y = 3x + 6
Answer:
456976000
Step-by-step explanation:
There are 26 letters and 10 digits
4 letter then 3 numbers
26*26*26*26*10*10*10
456976000
Answer:
80000 square meters
Step-by-step explanation:
perimeter + dividing fence = 800
let a = length
let b = width
let c = length of dividing fence
perimeter = 2*a + 2*b
let's say...
c is the same as the length
2a + 2b + c = 800
2a + 2b + a = 800
3a + 2b = 800
area = length*width
area = a*b
area / b = a
3*(area/b) + 2b = 800
3*(area/b) = 800 - 2b
area/b = (800 - 2b)
area = (800 - 2b)*b
To make the area large, we make the right hand side large.
800b - 2b^2
If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.
y = -2x^2 + 800x
y = -x^2 + 400x
0 = x*(-x + 400)
roots are x= 0 and x = 400
vertex is at x, aka b = 200
area at b=200 is (800 - 400)*200 = 80000
and a is area/b... 80000/400 = 200
