Answer:
If both g(x) and f(x) are the same equation, then they will have the same slopes.
4x you had 0.5x are the y -intercept.
How can you tell whether an exponential function is growing or deteriorating?
- As the exponential's base is greater than 1, which occurs when those numbers increase, we are seeing exponential growth.
- When the exponential's base is between 1 and 0, and those numbers decrease, we have exponential decay.
You can obviously plot it but if you can also conside that in your function you have 4x
; this tells you that as
x increases (gets bigger) certainly
4x will increase as well (you can consider
4²= 16 and 4³ = 64
). It is true that you have to multiply by
0.5
but nevertheless the entire function will grow anyway!
Graphically:
graph{0.5*(4^x) [-14.24, 14.24, -7.12, 7.12]}
If you want, try to think at the case where instead of having
4x you had 0.5x .
Learn more about exponential function
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Answer:
red line is 4x+y=3 and blue line is 2x-3y=3
Step-by-step explanation:
is not true
Step-by-step explanation:
We need to find if is true?
Solving:
Cross Multiplying
Since both sides of the equation are not equal, so there is no solution.
So, is not true.
Keywords: Solving Equations
Learn more about Solving Equations at:
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Since the perimeter of the square is 16cm, each side is 4cm.
If we subtract the area of the two unshaded triangles from the area of the square we will know the area of the shaded portion...
The small inverted triangle on the left has a height of 4 and a base of 1. The are of the bottom triangle has a height of 2 and a base of 4...
So the area of the two triangles is 4*1/2+2*4/2=2+4=6
The area of the square is just 4*4=16 so:
The shaded area is 16-6=10cm^2
The proportion of the shaded area to the total area is then:
10cm^2:16cm^2
5:8